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TW201908201A - Airplane wing - Google Patents

Airplane wing Download PDF

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Publication number
TW201908201A
TW201908201A TW106123554A TW106123554A TW201908201A TW 201908201 A TW201908201 A TW 201908201A TW 106123554 A TW106123554 A TW 106123554A TW 106123554 A TW106123554 A TW 106123554A TW 201908201 A TW201908201 A TW 201908201A
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Taiwan
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winglet
wing
winglets
length
angle
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TW106123554A
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Chinese (zh)
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漢斯 喬格 佩特契
沃爾克 卡瑟拉
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航空器性能公司
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Publication of TW201908201A publication Critical patent/TW201908201A/en

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Abstract

The invention relates to a wing with two winglets and a respective airplane. An upstream winglet broadens a region of inclined airflow and a downstream winglet produces a thrust contribution therein.

Description

飛機翼  Aircraft wing  

本發明係有關於一種飛機及一種用於飛機之機翼。 The present invention relates to an aircraft and a wing for an aircraft.

飛機係人和貨物以及軍事應用的最重要運輸工具之一,並且對於大多數長途旅行而言,飛機幾乎是沒有任何可供替代者。本發明係有關於在不包括直升機的意義上之飛機,並且本發明係有關於一種在不包括直升機之旋葉的意義上之用於飛機的機翼。具體地,本發明係有關於具有固定的機翼之飛機及這樣的固定機翼本身。 Aircraft are one of the most important means of transportation for people and goods, as well as for military applications, and for most long-distance travel, there is almost no substitute for the aircraft. The present invention relates to aircraft in the sense of not including a helicopter, and the present invention relates to a wing for an aircraft in the sense of not including a rotor blade of a helicopter. In particular, the present invention relates to aircraft having a fixed wing and such fixed wings themselves.

機動飛機及其機翼之基本功能係藉由推進發動機產生一定的速度,且藉由飛機之機翼在由速度所造成的氣流中產生所需之升力。這種功能係飛機之機翼的空氣動力設計之主題,例如,關於它們的尺寸、剖面等。 The basic function of a motorized aircraft and its wings is to generate a certain speed by propelling the engine and to generate the required lift in the airflow caused by the speed by the wing of the aircraft. This function is the subject of the aerodynamic design of the wing of the aircraft, for example, regarding their size, profile, and the like.

一般都知道在飛機之主機翼(亦即,主要或專門負責升力之那些機翼)的外端處使用所謂的翼尖裝置或小翼。這些小翼應該減少由機翼之上方區域與下方區域間的壓力差所產生之所謂的翼尖渦旋,該壓力差係預期升力的原因。因為機翼具有末端,所以,氣流傾向於補償會導致渦旋的壓力差。此翼尖渦旋降低機翼的上升效果、增加所產生的噪音、增加由於氣流中之耗散所引起的能量損失,且對於緊跟飛機之其它航空器可能不利。所述的小翼可以 說是翼尖渦旋的擋板。 It is generally known to use so-called wingtip devices or winglets at the outer ends of the main wing of the aircraft (i.e., those that are primarily or exclusively responsible for lift). These winglets should reduce the so-called wingtip vortex created by the pressure difference between the upper and lower regions of the wing, which is the cause of the expected lift. Because the wing has an end, the airflow tends to compensate for the pressure differential that would cause the vortex. This tip vortex reduces the lifting effect of the wing, increases the noise generated, increases the energy loss due to dissipation in the airflow, and may be detrimental to other aircraft that are following the aircraft. The winglet can be said to be a baffle of a wing tip vortex.

本發明之議題係要提供一種具有小翼之改良的機翼及一種改良的各別的飛機。 The subject of the present invention is to provide an improved wing with a winglet and an improved individual aircraft.

為了解決此問題,本發明係有關於一種用於飛機之機翼,此機翼包括:一外翼端,相對於此機翼之用於安裝至飛機的內側,位於此機翼之相對立側上;至少兩個小翼,位在該外翼端上而連接至此機翼,該等小翼之上游第一小翼在此機翼之飛行方向上係位在該等小翼之下游第二小翼前面,如逆著其飛行方向所見,該第一小翼與該第二小翼係以在5°至35°之區間內的相對的雙面角δ1、δ2相互成傾斜,其中,該第一小翼係相對於該第二小翼向上傾斜,其中,該相對的雙面角被定義為在其根部具有一頂點的等腰三角形之該等小翼的根部處,亦即,在水平方向上兩個小翼之分裂點處、且在垂直方向上該等小翼之前緣的位置之中間,之開口角度,一個頂點在該第一小翼之前緣上,而一個頂點在該第二小翼之前緣上,如在逆著其飛行方向之投影中所見,該三角形具有兩個相等的三角形邊之可變的長度,且該雙面角區間對於沿著該第一小翼及該第二小翼中之較短者的等邊長度之至少70%係有效的;以及,係有關於一種具有兩個彼此相對之這樣的機翼之飛機,及有關於一種升級部件之用途,其升級部件包括用以安裝至一架飛機的各別的小翼,以便生產這樣的機翼或飛機。 In order to solve this problem, the present invention relates to a wing for an aircraft, the wing comprising: an outer wing end for mounting to the inside of the aircraft relative to the wing, on the opposite side of the wing At least two winglets are attached to the wing at the outer wing end, and the first winglet upstream of the winglets is tied downstream of the winglets in the flight direction of the wing In front of the winglet, as seen against its flight direction, the first winglet and the second winglet are inclined with respect to each other by a relative double-sided angle δ1, δ2 in a range of 5° to 35°, wherein The first winglet is inclined upward relative to the second winglet, wherein the opposite double-sided angle is defined as the root of the winglet having an isosceles triangle having a vertex at its root, that is, at a level In the direction of the splitting point of the two winglets in the direction, and in the middle of the position of the leading edge of the winglets in the vertical direction, the opening angle, one vertex is on the leading edge of the first winglet, and one vertex is in the second On the front edge of the winglet, as seen in the projection against its flight direction, the triangle has Having a variable length of two equal triangular sides, and the double-sided angular interval is effective for at least 70% of the equilateral length along the shorter of the first winglet and the second winglet; And, with respect to an aircraft having two such wings facing each other, and for use with an upgraded component, the upgraded components include individual winglets for mounting to an aircraft to produce such Wing or airplane.

本發明係有關於一種機翼,具有至少兩個小翼,其中,這些小翼固定至此機翼之外翼端。為了避免誤解,「機翼」可以是飛機之(主要)負責所需要的升力的主機翼;然而,它亦可以係 通常亦是大致水平的水平穩定翼。再者,術語「機翼」應該是有關於像起源於飛機之基體且從那裡向外延伸的機翼。在此機翼之外翼端處,至少兩個小翼被固定且進一步(但非必定)朝同一方向延伸。如習知技藝所大部分知道,一個小翼可以相對於機翼傾斜及/或彎曲。然而,較佳地,該等小翼未從外翼端向內延伸。 The invention relates to a wing having at least two winglets, wherein the winglets are fixed to the outer wing ends of the wing. To avoid misunderstanding, the "wing" may be the main wing of the aircraft (primarily) responsible for the required lift; however, it may also be a horizontal stabilizer that is generally also substantially horizontal. Furthermore, the term "wing" should be a wing that extends from the base of the aircraft and extends outward therefrom. At the outer wing end of the wing, at least two winglets are fixed and further (but not necessarily) extend in the same direction. As is known in the art, a winglet can be tilted and/or bent relative to the wing. Preferably, however, the winglets do not extend inwardly from the outer wing end.

本發明者已發現到,逆著飛行方向觀看的兩個小翼之相互的傾角在以電腦流體動力學計算所進行的定量評估方面導致有利的結果。特別地,它已證實使上游第一小翼相對於第二小翼傾斜係有利者,例如,較佳地,使上游第一小翼比第二小翼更向上傾斜。其中,傾角之差異,所謂的雙面角之差異(相對的雙面角),應該是適中的,亦即,不大於35°。另一方面,一定的相對雙面角應該被觀看到,因而不應該小於5°。更佳地,相對的雙面角區間之下限(以下面順序)為7°、9°、11°、13°及15°,而更佳地,相對的雙面角區間之上限為33°、31°、29°、27°及25°。因此,最佳值應該是大約20°。 The inventors have found that the mutual inclination of the two winglets viewed against the flight direction leads to advantageous results in quantitative evaluation by computer fluid dynamics calculations. In particular, it has proven to be advantageous to tilt the upstream first winglet relative to the second winglet, for example, preferably the upstream first winglet is inclined more upward than the second winglet. Among them, the difference in inclination, the so-called difference in double-sided angle (relative double-sided angle), should be moderate, that is, no more than 35°. On the other hand, a certain relative double-sided angle should be viewed and should not be less than 5°. More preferably, the lower limit of the opposite double-sided angle interval (in the following order) is 7°, 9°, 11°, 13°, and 15°, and more preferably, the upper limit of the opposite double-sided angle interval is 33°, 31°, 29°, 27° and 25°. Therefore, the optimal value should be approximately 20°.

本發明之結果顯示,此相對的雙面角比兩個小翼之絕對的雙面角還重要,這可能是因為,氣流幾何形狀在主機翼之末端處及因而在諸小翼之根部處,具有繞著與飛行方向平行的軸線之一定的旋轉對稱性。這當然只是近似的陳述,但儘管如此,相對的雙面角被視為比絕對的雙面角還重要。 The results of the present invention show that this relative double-sided angle is more important than the absolute double-sided angle of the two winglets, possibly because the airflow geometry is at the end of the main wing and thus at the root of the winglets, It has a certain rotational symmetry about an axis parallel to the flight direction. This is of course only an approximate statement, but nevertheless, the relative double-sided angle is considered to be more important than the absolute double-sided angle.

相對的雙面角在此以平均的意思,亦即,藉由頂點之間的等腰三角形來界定。一個頂點應該在其根部上,而一個各別的頂點則在每一小翼上。更確切地說,其三角形係以逆著飛行方向之投影來界定,並且,至於其水平維度,在其根部上的頂點應該在兩 個小翼之分裂點處,亦即,在垂直觀看的水平維度上,兩個小翼從那個地方分隔開來。至於垂直維度,其根部頂點應該在剛才所述之水平位置的兩個小翼之前緣(最上游邊緣)的位置之中間,或者,如果他們在那裡重合,就在那個位置。因為這個區域係平滑的過渡形狀以避免氣動擾動,所以,可以這麼說,其前邊緣在這個過渡區域(在諸小翼與主機翼端間之所謂的整流部(fairing))中失去了它的識別。因此,諸前緣應該以下列方式來推斷:忽略小翼的展向長度之10%的內部分(將在下面做更詳細界定),並且,為了其它原因,忽略90%至100%之間的外部分(亦即,具體例所述的可能的圓角化)。剩餘的10%-90%表示可被推斷的適當前緣。假如其前緣不是筆直的,可以使用平均線來推斷。 The relative double-sided angles here are averaged, that is, by the isosceles triangle between the vertices. A vertex should be at its root and a separate vertex on each winglet. More precisely, its triangle is defined by a projection against the direction of flight, and, as far as its horizontal dimension, the apex at its root should be at the splitting point of the two winglets, ie at the level of vertical viewing. Dimensions, the two winglets are separated from that place. As for the vertical dimension, the root apex should be in the middle of the position of the leading edge (the most upstream edge) of the two winglets in the horizontal position just described, or if they overlap there, at that position. Since this region is a smooth transition shape to avoid aerodynamic disturbances, it can be said that its front edge loses its position in this transition region (the so-called fairing between the winglets and the main wing ends). Identification. Therefore, the leading edges should be inferred by ignoring the inner portion of the 10% of the spanwise length of the winglet (as defined in more detail below) and, for other reasons, ignoring between 90% and 100% The outer portion (ie, the possible fillet as described in the specific example). The remaining 10%-90% represent the appropriate leading edge that can be inferred. If the leading edge is not straight, you can use the average line to infer.

在諸小翼上的頂點應該分別是在它們的前緣上。因此,此三角形之開口角度、即兩個等邊之間的角度係該相對的雙面角。 The vertices on the winglets should be on their leading edges, respectively. Therefore, the opening angle of the triangle, that is, the angle between the two equal sides, is the opposite double-sided angle.

三角形界定包括了在由兩個小翼之較短者所施加的限度內之等邊之可變的長度。就此可變的邊長概念來說,所界定的相對雙面角區間對於邊長的至少70%、更佳為邊長之至少75%、80%、85%或甚至90%係有效的。換句話說,如果諸小翼之一小部分不屬於相對的雙面角區間,則這對本發明並無不利,然而,100%在該區間內當然是最佳情況。 The triangle definition includes a variable length of the equilateral edge within the limits imposed by the shorter of the two winglets. With respect to this variable side length concept, the defined relative double-sided angular interval is effective for at least 70% of the side length, more preferably at least 75%, 80%, 85%, or even 90% of the side length. In other words, if a small portion of the winglets does not belong to the opposite double-sided corner interval, this is not detrimental to the present invention, however, 100% is of course the best in this interval.

可變的邊長概念考量到:該等小翼不需要是筆直的(以逆著飛行方向的視角),而亦可以例如沿著在具體例中針對第一小翼所示的一個圓形部分完全地或部分地彎曲。該等小翼亦可以是多邊形的(具有有限的角度)或成某種形狀的,以致於,其相對的雙 面角沿著它們的展向長度而變動。再者,即使具有筆直的小翼(逆著飛行方向觀看),它們的前緣線不一定會合在上面所界定之根部頂點,如此可能造成該相對的雙面角沿著它們的長度有稍微變化。然而,具有筆直的小翼,由三角形概念所界定之相對的雙面角至少剛好大概是逆著飛行方向所可看見的角度。 The variable side length concept takes into account that the winglets need not be straight (in a view angle against the direction of flight), but may for example follow a circular portion shown in the specific example for the first winglet Bend completely or partially. The winglets may also be polygonal (having a finite angle) or shaped such that their opposite dihedral angles vary along their spanwise length. Furthermore, even with straight winglets (viewed against the direction of flight), their leading edge lines do not necessarily coincide with the root vertices defined above, which may cause the relative double-sided angles to vary slightly along their length. . However, with straight winglets, the opposite double-sided angle defined by the concept of triangles is at least approximately the angle that is visible against the direction of flight.

機翼及諸多小翼之幾何形狀的上面及所有下面敘述係有關於專家所了解的「飛行中」形狀。換句話說,這些說明及界定係有關於飛行狀態,其中,空氣動力性能照道理應該是且已是相關的,其基本上係在典型飛行高度下的典型飛行速度(相依於距離)。專家熟悉有另一個「型架(jig)形狀」,其照道理應該是機翼及諸多小翼在非飛行狀態中的形狀,亦即,沒有任何空氣動力作用在它們的上面。型架形狀與飛行中形狀間之任何差異係由機翼及諸小翼在空氣動力作用在其上之彈性變形所造成。這些彈性變形之精確性質取決於可能因不同情況而有所不同之機翼及小翼的構造之靜態機械性能。這對機械工程師亦是一種熟悉的概念,並且,可簡單地例如使用標準電腦模擬程式以有限元素計算來計算及預測這樣的變形。 The geometry of the wing and the many winglets above and all of the following descriptions are related to the "in flight" shape that the expert knows. In other words, these descriptions and definitions relate to flight conditions, where aerodynamic performance should be and is relevant, which is basically a typical flight speed (depending on distance) at typical flight altitudes. Experts are familiar with another "jig shape", which should be based on the shape of the wing and many winglets in a non-flight state, that is, without any aerodynamic forces on them. Any difference between the shape of the frame and the shape in flight is caused by the elastic deformation of the wing and the winglets on which aerodynamic forces act. The precise nature of these elastic deformations depends on the static mechanical properties of the wing and winglet configurations that may vary from case to case. This is also a familiar concept for mechanical engineers, and such deformations can be calculated and predicted in a finite element calculation, for example, simply using a standard computer simulation program.

在本說明書中對型架形狀的引用因而將沒有多大意義,因為空氣動力性能係相關的類別。再者,本發明之機翼及小翼的機械結構可能因不同情況而有所不同,以致於,關於型架形狀如何轉變成飛行中形狀之任何假設將是不實用的。 The reference to the shape of the profile in this specification will therefore not make much sense since aerodynamic performance is a relevant category. Furthermore, the mechanical structure of the wings and winglets of the present invention may vary from case to case, so that any assumption as to how the shape of the profile is transformed into an in flight shape would be impractical.

另外,術語「水平」及「垂直」係有關於機翼在飛機上的安裝狀態,其中「垂直」係重力方向,而「水平」係與其垂直。 In addition, the terms "horizontal" and "vertical" relate to the state in which the wing is mounted on the aircraft, where "vertical" is the direction of gravity and "horizontal" is perpendicular to it.

上述小翼之彼此相對的傾角已證實在兩個態樣間之 權衡方面係有利的。一方面,零或非常小的數量之相對的雙面角導致:下游小翼(在此,第二小翼)受制於被上游(在此,第一)小翼影響之氣流,而且受制於緊接在上游小翼之紊流或甚至擴散氣流,因而抑制了適當且明顯的空氣動力性能,例如,下面所述之升力及/或推力貢獻的產生。相較下,下游小翼可能產生比實際預期更多的阻力,這是升力、推力、渦旋消失等等。 The relative inclination of the winglets described above has proven to be advantageous in terms of trade-off between the two aspects. On the one hand, a zero or very small number of opposite double-sided angles results in: the downstream winglet (here, the second winglet) is subject to the airflow affected by the upstream (here, first) winglet and is subject to tight The turbulence or even the diffusion of the upstream winglets is suppressed, thus suppressing proper and significant aerodynamic performance, for example, the generation of lift and/or thrust contributions described below. In contrast, the downstream winglets may produce more resistance than expected, which is lift, thrust, vortex disappearance, and so on.

另一方面,可以這麼說,太大的相對雙面角使諸小翼彼此「去耦(decouple」,然而,本發明意欲使用至少兩個小翼的協同效應。具體地,本發明較佳地旨在為了下游小翼以上游小翼來調節氣流。具體地,本發明之一態樣將以正面的義意使用在機翼之尖端渦旋的區域中之傾斜氣流。另一種想法將在具有正推力分量(亦即,與飛機之飛行方向平行之向前分量)之此傾斜氣流中產生氣動「升力」。在此,應該很清楚,「升力」係有關於小翼之氣動翼功能。然而,在此以向上方式最大化或甚至產生升力並不一定是重要的,但是,向前推力分量係感興趣之所在。 On the other hand, it can be said that the too large relative double-sided angle "decouples" the winglets to each other, however, the present invention intends to use the synergistic effect of at least two winglets. In particular, the present invention preferably It is intended to regulate the airflow with the upstream winglets for the downstream winglets. In particular, one aspect of the invention will use the inclined airflow in the region of the tip vortex of the wing in a positive sense. Another idea would be to have a positive thrust. The aerodynamic "lift" is generated in the slanted airflow of the component (i.e., the forward component parallel to the flight direction of the aircraft). It should be clear here that "lift" is related to the aerodynamic wing function of the winglet. However, It is not necessarily important to maximize or even generate lift in an upward direction, but the forward thrust component is of interest.

在這方面,本發明者發現到,「擴大」傾斜氣流係有利的,以便改善其使用。這是有道理的,因為翼尖渦旋係相當集中,以致於可以發現只有氣流方向之大的傾斜角度(相對於飛行方向)相當接近翼尖。因此,依據較佳態樣,本發明提供至少兩個小翼,一個上游小翼用以「擴大」傾斜氣流之區域,而一個下游小翼用以從中產生推力分量。 In this regard, the inventors have discovered that "expanding" the inclined airflow is advantageous in order to improve its use. This makes sense because the wing tip vortex is so concentrated that it can be found that only the angle of inclination of the airflow direction (relative to the direction of flight) is quite close to the wing tip. Thus, in accordance with a preferred aspect, the present invention provides at least two winglets, one upstream winglet for "expanding" the region of the slanted airflow, and a downstream winglet for generating a thrust component therefrom.

該上游小翼因而係用以藉由將機翼之翼尖渦旋的一部分「移位」至小翼尖端(亦即,向外),來分裂機翼之翼尖渦旋。因此,導致小翼引起的尖端渦旋(小翼尖端渦旋)與該機翼之「其餘 部分」的漩渦(機翼在飛行方向上的縱深比小翼還深)疊加。 The upstream winglet is thus used to split the wing tip vortex by "shifting" a portion of the wing tip vortex to the winglet tip (i.e., outward). As a result, the tip vortex (winglet tip vortex) caused by the winglet is superimposed with the vortex of the "remaining portion" of the wing (the wing is deeper in the flight direction than the winglet).

在這個意義上,上述相對的雙面角區間係有利的。 In this sense, the above-mentioned relative double-sided angular interval is advantageous.

較佳地,以各別的翼弦線(在翼形之前緣與最下游點之間的線)表示之諸小翼亦應該繞著與飛行方式垂直(而非平行)之水平軸線旋轉的某種方式來傾斜。旋轉角度被命名為傾角,且在小翼之順時針旋轉(從飛機之左側觀看且反之從飛機之右側觀看)的情況下應該是正的。在這個意義上,第一小翼之從-15°至-5°的傾角區間係優選的,更佳地,與第二小翼之從-10°至0°的傾角區間組合。這些區間係有關於該等小翼之根部,並且,其傾角區間係以與沿著小翼之展向長度的位置成線性關係之可變的意義來界定。它從根部至各別的小翼之尖端應該移位了+2°,這造成在第一小翼及第二小翼在其各別的尖端處分別有從-13°至-3°的區間及從-8°至+2°的區間。這並不一定意味著:某一個實施的實際傾角必須扭曲,扭曲在意義上表示可變的傾角。一個實際的實施亦可以是在沒有任何扭曲情況下所界定之區間內。然而,因為本發明者考量到,氣流變化相依於距該等小翼之根部的距離,所以,在此意義上的區間界定的適度相依性係適當的(換句話說,區間的中心及其邊界被「扭曲」)。 Preferably, the winglets represented by the respective chord lines (lines between the leading edge of the wing and the most downstream point) should also rotate about a horizontal axis that is perpendicular (not parallel) to the flight mode. Ways to tilt. The angle of rotation is named the angle of inclination and should be positive in the case of a clockwise rotation of the winglet (viewed from the left side of the aircraft and vice versa from the right side of the aircraft). In this sense, the angle range of the first winglet from -15° to -5° is preferred, and more preferably combined with the angle range of the second winglet from -10° to 0°. These intervals are related to the roots of the winglets, and their pitch intervals are defined by a variable meaning that is linear with respect to the position along the spanwise length of the winglets. It should be displaced by +2° from the root to the tip of each winglet, which causes the first winglet and the second winglet to have a range from -13° to -3° at their respective tips. And from -8 ° to +2 ° interval. This does not necessarily mean that the actual dip of an implementation must be distorted, and the distortion represents a variable dip in the sense. A practical implementation can also be within the defined range without any distortion. However, since the inventors have considered that the airflow variation depends on the distance from the roots of the winglets, the appropriate dependence of the interval definition in this sense is appropriate (in other words, the center of the interval and its boundary). Being "distorted").

如上述,在各別的小翼之翼弦線與機翼(主機翼)之翼弦線之間界定其傾角。後者的翼弦線係在接近機翼分裂成諸多小翼所處(換句話說,在該等小翼進一步向外時分開所處)的位置(在與飛行方向垂直的水方方向上)。因為,在其分裂位置處,主機翼亦可能已有些變形(就整流部而言),以便提供至諸小翼的平滑過渡,所以,翼弦線係在更向內一點點處,亦即,在主機翼之展向長度的進一步向內10%處。反之,同樣可適用於小翼,以致於,翼弦線係在 其分裂位置進一步向外10%處。 As described above, the inclination angle is defined between the chord of each winglet and the chord of the wing (host wing). The latter chord is in a position close to the wing splitting into a plurality of winglets (in other words, where the winglets are separated further outward) (in the direction of the water perpendicular to the direction of flight). Because, at its split position, the main wing may have been somewhat deformed (in terms of the fairing) in order to provide a smooth transition to the winglets, so the chord is tied a little more inward, ie At the further inward 10% of the length of the main wing. Conversely, it is equally applicable to the winglets such that the chord is further 10% outward at its split position.

第一小翼的傾角區間之更優選的下限在其根部處為-14°、-13°、-12°及-11°,且在其尖端處為這些數值加上+2°,而更優選的上限在第一小翼之根部處為-6°、-7°、-8°及-9°,此外,在其尖端處為多加+2°。類似地,第二小翼之更優選的下限在其根部處為-9°、-8°、-7°、-6°,而更優選的上限則為-1°、-2°、-3°、-4°,此外,在其尖端處多加+2°。 A more preferred lower limit of the inclination range of the first winglet is -14°, -13°, -12° and -11° at the root thereof, and +2° is added to the value at the tip end thereof, and more preferably The upper limit is -6°, -7°, -8° and -9° at the root of the first winglet and, in addition, +2° at the tip end. Similarly, a more preferred lower limit of the second winglet is -9°, -8°, -7°, -6° at its root, and a more preferred upper limit is -1°, -2°, -3 °, -4°, in addition, add +2° to the tip.

再者,所界定的角度區間對於各別的小翼之展向長度至少70%(更佳地,至少75%、80%、85%及甚至90%)應該是有效的。換句話說,不符合這些準則的諸小翼之小部分為非本質所在。 Furthermore, the defined angular interval should be effective for at least 70% (more preferably, at least 75%, 80%, 85% and even 90%) of the length of the individual winglets. In other words, a small part of the winglets that do not meet these criteria is non-essential.

關於第一小翼之傾角,有利的是使用所界定的區間,以便最小化其阻力,且在第一小翼之下游不會產生太多的下洗流。太多的下洗流會阻礙因已描述的渦旋而以氣流之傾角為基礎的第二小翼之功能。對第二小翼所給定之區間已證實在最佳推力貢獻方面係有利的。在許多的情況下,從所給定的區間亦可以看出,第一小翼之實際傾角將小於第二小翼之實際傾角,因為,在第一小翼之下游的氣流已被改變了。在任何情況下的界定區間及在多數情況下第一小翼相較於第二小翼之有些小的傾角,係所實施之電腦流體x態模擬之一般結果。 With regard to the inclination of the first winglet, it is advantageous to use the defined interval in order to minimize its resistance and not generate too much underflow downstream downstream of the first winglet. Too many underwashes can impede the function of the second winglet based on the inclination of the airflow due to the described vortex. The interval given for the second winglet has proven to be advantageous in terms of optimal thrust contribution. In many cases, it can also be seen from the given interval that the actual inclination of the first winglet will be less than the actual angle of inclination of the second winglet because the airflow downstream of the first winglet has been altered. The defined interval in any case and, in most cases, the small angle of inclination of the first winglet compared to the second winglet is the general result of the x-state simulation of the computer fluid implemented.

較佳地,本發明亦包括了在第二小翼之下游的第三小翼,以及更佳地,本發明受限於這三個小翼(每個機翼)。 Preferably, the present invention also includes a third winglet downstream of the second winglet, and more preferably, the invention is limited to the three winglets (each wing).

更佳地,第三小翼符合了具有相同於第一小翼與第二小翼間之相對的雙面角的更優選下限及上限(亦即,從5°至35°)的相對於第二小翼的相對雙面角區間(但獨立地被揭露)。此雙面角差 值被了解為第二小翼係相對於第三小翼傾斜(較佳地,更向上)。相對的雙面角之界定係相似於上面所說明,但是在此當然係有關於第二與第三小翼。 More preferably, the third winglet conforms to a more preferred lower and upper limit (i.e., from 5° to 35°) of the opposite double-sided angle between the first winglet and the second winglet. The relative double-sided angle of the second winglet (but independently revealed). This double-sided angular difference value is understood to be that the second winglet is tilted (preferably, more upward) relative to the third winglet. The definition of the opposite double-sided angle is similar to that described above, but is of course related to the second and third winglets.

如同關於第一小翼與第二小翼間之關係及它們的相對雙面角所述,同樣這裡在第二小翼與第三小翼間之回溯關係中,將第三小翼直接放置在上游第二小翼「後面」係不利的,而且,在空氣動力的意義上使它們去耦亦是不利的。取而代之,藉由在所給定之區間內的相對雙面角,第三小翼將再次處於可在第一小翼及第二小翼之下游產生協同效應(具體地,如本發明所優選,再次產生推力貢獻)的位置。 As described in relation to the relationship between the first winglet and the second winglet and their relative double-sided angles, also in the retrospective relationship between the second winglet and the third winglet, the third winglet is placed directly The "back" of the second winglet upstream is unfavorable, and decoupling them in the aerodynamic sense is also disadvantageous. Instead, by the relatively double-sided angle within a given interval, the third winglet will again be in a synergistic effect downstream of the first winglet and the second winglet (specifically, as preferred by the present invention, again The position at which the thrust contribution is generated.

更優選的是,如上面對於第一小翼及第二小翼所述(包括關於翼弦線之界定的說明),第三小翼亦以類似方式受制於傾角之限制。在此,對於第三小翼,區間在根部處應該是從-7°至+3°,另外,在尖端處是多加+2°,且應該是其間的線性插值。在根部處之第三小翼的傾角區間之更優選的下限為-6°、-5°、-4°、-3°,更優選的上限為+2°、+1°、0°、-1°,且在尖端處為多加+2°。再者,相對的雙面角及傾角之區間對於第二小翼及第三小翼中之較短者之較佳的至少70%、且對於第三小翼之展向長度係有效的。另外,更優選的限度為至少75%、80%、85%、90%。 More preferably, as described above for the first winglet and the second winglet (including the description of the definition of the chord line), the third winglet is also subject to the restriction of the angle of inclination in a similar manner. Here, for the third winglet, the interval should be from -7° to +3° at the root and, in addition, +2° at the tip, and should be a linear interpolation therebetween. A more preferred lower limit of the inclination range of the third winglet at the root is -6°, -5°, -4°, -3°, and a more preferable upper limit is +2°, +1°, 0°, - 1° and +2° at the tip. Moreover, the relative double-sided angle and the range of the dip angle are preferably at least 70% of the shorter of the second winglet and the third winglet, and are effective for the spanwise length of the third winglet. Further, a more preferred limit is at least 75%, 80%, 85%, 90%.

第三小翼之傾角的上述選擇功能相似於第二小翼之傾角的選擇功能,亦即,第三小翼所遭遇的氣流已經被兩個上游小翼改變,並且,第三小翼意在其中產生推力貢獻,同時產生整個系統的最小化阻力。 The above selection function of the inclination angle of the third winglet is similar to the selection function of the inclination angle of the second winglet, that is, the airflow encountered by the third winglet has been changed by the two upstream winglets, and the third winglet is intended This produces a thrust contribution while at the same time minimizing the drag of the entire system.

在另一較佳實施中,兩個或三個小翼之所謂的後掠角 相對於主機翼之後掠角分別係在-5°至35°之區間內(正值表示「向後」)。換句話說,諸小翼可以像飛機機翼一樣以箭頭狀方式向後傾斜,較佳地,與主機翼一樣或甚至傾斜更多。其中,所有三個小翼的後掠角不必是相同的。更優選的下限為-4°、-3°、-2°、-1°,而更優選的上限為30°、25°、20°、15°。如剛才所述,後掠角係有關於各別的小翼之前緣相對於與飛行方向垂直的水平線之傾角。這個可以在小翼的虛構水平位置中來界定(其雙面角及傾角為零且在任何彎曲之展開狀態中)。或者,後掠角可以藉由以在本申請案中的其它地方所界定的展向長度b取代小翼在與飛行方向(如垂直看到的)垂直之水平方向上的實際延伸部分來界定。 In another preferred embodiment, the so-called sweep angle of the two or three winglets is within a range of -5 to 35 degrees with respect to the swept angle of the main wing (positive values indicate "backward"). In other words, the winglets can be tilted back like an airplane wing in an arrow-like manner, preferably as much as the main wing or even more inclined. Among them, the sweep angles of all three winglets do not have to be the same. A more preferable lower limit is -4, -3, -2, -1, and a more preferable upper limit is 30, 25, 20, and 15 . As just described, the sweep angle is related to the inclination of the leading edge of each winglet relative to a horizontal line that is perpendicular to the direction of flight. This can be defined in the fictitious horizontal position of the winglet (the double-sided angle and the angle of inclination are zero and in any unfolded state of the bend). Alternatively, the sweep angle may be defined by replacing the actual extension of the winglet in a horizontal direction perpendicular to the direction of flight (as seen vertically) by the spanwise length b defined elsewhere in this application.

假如前緣不是線性的,後掠角則與關於在諸小翼之各別的翼展的20%至80%範圍內的非線性前緣之平均線有關。此有限的翼展範圍考量到:其前緣可能因在外端的圓角(例如在具體例中)及因在內端之所謂的整流部上之過渡而變形。因為後掠角對這樣的影響非常敏感,所以20%取代10%成為在邊界處的「截止(cut-off)」。 If the leading edge is not linear, the sweep angle is related to the average of the nonlinear leading edges in the range of 20% to 80% of the respective wingspans of the winglets. This limited span range is considered to be such that its leading edge may be deformed by a rounded corner at the outer end (for example in a specific example) and by a transition on the so-called rectifying portion at the inner end. Since the sweep angle is very sensitive to such effects, 20% replaces 10% as a "cut-off" at the boundary.

至於參考,應該考量到主機翼之前緣、它的翼展之50%至90%的範圍及在此範圍內之平均線。這是因為,0%的展向位置通常係有關於其基體的中間,因而不在主機翼本身內,以及,在從基體至主機翼之過渡上具有一個所謂的機腹整流部,該過渡不僅係建構成一個適當翼形,且對該翼形來說更是一個過渡。更進一步,不管怎樣,諸小翼之後掠角適合於諸主機翼之外部。 As for the reference, the range of the leading edge of the main wing, its wingspan of 50% to 90%, and the average line within this range should be considered. This is because the 0% spanwise position is usually in the middle of its base and is therefore not in the main wing itself, and there is a so-called belly rectification on the transition from the base to the main wing. It is constructed to form a proper wing shape and is a transition to the wing shape. Further, in any case, the winglet swept angles are adapted to the outside of the main wing.

所完成的模擬已顯示出:結果可藉由諸小翼之有些增加的後掠角來最佳化,但這個角度不應該被誇大。因為後掠角與航空器之通常速度範圍有關,所以,從主機翼之後掠角開始係一個務 實且技術上有意義的參考。 The completed simulation has shown that the results can be optimized by some of the increased sweep angles of the winglets, but this angle should not be exaggerated. Since the sweep angle is related to the general speed range of the aircraft, a pragmatic and technically meaningful reference is made from the swept angle of the main wing.

關於它們的「極性(polarity)」,換句話說,關於一下游小翼相對於一上游小翼向上或向下傾斜,已刻意公開上面關於相對的雙面角的說明。事實上,本發明者已發現到,空氣動力性能在這方面係相當不敏感的。然而,較佳的是,上游第一小翼比第二小翼更向上傾斜(在有或沒有第三小翼的情況下)。進一步且獨立地較佳的是,如果有的話,第三小翼比第二小翼更向下傾斜。至目前為止所達成的最佳結果,係以在具體例中所示之概念為基礎。 Regarding their "polarity", in other words, regarding a downward tilt of a downstream winglet relative to an upstream winglet, the above description of the relative double-sided angle has been deliberately disclosed. In fact, the inventors have discovered that aerodynamic performance is relatively insensitive in this regard. Preferably, however, the upstream first winglet is more inclined upwards (with or without the third winglet) than the second winglet. Further and independently, it is preferred that the third winglet, if any, is inclined further downward than the second winglet. The best results achieved so far are based on the concepts shown in the specific examples.

雖然上面已說明,在第一小翼與第二小翼之間(亦在第二小翼與第三小翼之間)的相對的雙面角比該等小翼之各別的雙面角的絕對值還重要,但是後者亦是較佳的選擇。對於第一小翼,各別的雙面角區間係從-45°至-15°,更佳的下限為-43°、-41°、-39°、-37°及-35°,而更佳的上限為-17°、-19°、-21°、-23°及-25°。 Although it has been explained above, the relative double-sided angle between the first winglet and the second winglet (also between the second winglet and the third winglet) is different from the respective double-sided angles of the winglets The absolute value is also important, but the latter is also a better choice. For the first winglet, the respective double-sided corners range from -45° to -15°, and the lower limits are -43°, -41°, -39°, -37° and -35°, and more The upper limits are preferably -17°, -19°, -21°, -23° and -25°.

對於第二小翼,所有的這些數值被移位了+20°,包括該等更佳的限度。如有的話,同樣可適用於與第二小翼相關之第三小翼。並且,這些角度區間對於其小翼之各別的展向長度的至少70%、較佳地至少75%、80%、85%或甚至90%係有效的。 For the second winglet, all of these values are shifted by +20°, including these better limits. The same applies to the third winglet associated with the second winglet, if any. Moreover, these angular intervals are effective for at least 70%, preferably at least 75%, 80%, 85% or even 90% of the respective spanwise lengths of the winglets.

為清楚起見:上述相對的雙面角之限度在這種情況下係適用的。如果例如第一小翼之雙面角被選為-35°,則第二小翼之雙面角的區間將自動地被限制為不大於0°。該等相對的雙面角界定因而係主導的。再者,絕對的雙面角係以相似於相對的雙面角的方式來界定,其不同之處在於:等腰三角形之等邊中之一者係水平的,而非在諸小翼中之一者的前緣上。 For the sake of clarity: the above mentioned relative double-sided angle limits are applicable in this case. If, for example, the double-sided angle of the first winglet is selected to be -35°, the interval of the double-sided angle of the second winglet is automatically limited to no more than 0°. These relative double-sided corner definitions are thus dominant. Furthermore, the absolute double-sided angle is defined in a manner similar to the relative double-sided angle, except that one of the equilateral sides of the isosceles triangle is horizontal rather than in the winglets. On the leading edge of one.

已發現到,雙面角之太低的絕對值(例如,低於-45°) 及因而使小翼多少有些向上定向可能是不利的,因為,更難在主機翼之外端與小翼之間提供適當且平滑的過渡(整流部)。另外,數值模擬未顯示這樣非常低的雙面角有任何優點。另一方面,非常大的數值,亦即,小翼例如以具有大於25°之雙面角指向下很多,可能會有減少離地高度之不利影響。當然,對非常低的數值所描述之影響,對於非常大的數值來說亦同樣存在,但是,從-45°與+25°之邊界之間的差距可看出,離地高度通常是主導面(然而,存在例外,例如,所謂的高翼(high-wing)飛機在離地高度方面較不敏感)。因此,從這些限度中之一者至另一者的雙面角通常係較佳的,並且,在上述針對該第一小翼、該第二小翼及該第三小翼所界定之區間中,甚至是更佳的。 It has been found that the absolute value of the double-sided angle too low (for example, below -45°) and thus the upward orientation of the winglets may be disadvantageous because it is more difficult to be at the outer end of the main wing and the winglet. Provide an appropriate and smooth transition (rectifier). In addition, numerical simulations do not show any advantage of such a very low double-sided angle. On the other hand, very large values, i.e., the winglets are directed downwards, for example, with a double-sided angle of greater than 25°, which may have an adverse effect of reducing the height from the ground. Of course, the effect described for very low values also exists for very large values, but the difference between the boundaries of -45° and +25° shows that the height above the ground is usually the dominant surface. (However, there are exceptions, for example, so-called high-wing aircraft are less sensitive to ground height). Therefore, a double-sided angle from one of these limits to the other is generally preferred, and in the interval defined above for the first winglet, the second winglet, and the third winglet Even better.

至於諸小翼之各別的長度及展向方向,機翼(主機翼)的展向長度之一定的比例係較佳的,亦即,對於第一小翼為從2%至10%,對於第二小翼為從4%至14%,以及,如果有的話,對於第三小翼為從3%至11%。第一小翼之各別的較佳下限為2.5%、3.0%、3.5%、4.0%、4.5%、5.0%。第一小翼之各別較佳的上限為9.5%、9.0%、8.5%、8.0%、7.5%、7.0%。對於第二小翼,更佳的下限為5.0%、6.0%、6.5%、7.0%、7.5%、8.0%,以及,更佳的上限為13%、12%、11.5%、11.0%、10.5%、10.0%。最後,第三小翼之更佳的下限為3.5%、4.0%、4.5%、5.0%、5.5%、6.0%,以及,更佳的上限為10.5%、10.0%、9.5%、9.0%、8.5%及8.0%。 As for the respective lengths of the winglets and the direction of the direction of the wings, a certain proportion of the length of the wings of the wing (main wing) is preferred, that is, from 2% to 10% for the first winglet, The second winglet is from 4% to 14%, and, if any, from 3% to 11% for the third winglet. The preferred lower limits for the respective first winglets are 2.5%, 3.0%, 3.5%, 4.0%, 4.5%, 5.0%. The preferred upper limits for the first winglets are 9.5%, 9.0%, 8.5%, 8.0%, 7.5%, 7.0%. For the second winglet, the lower limit is 5.0%, 6.0%, 6.5%, 7.0%, 7.5%, 8.0%, and the upper limit is preferably 13%, 12%, 11.5%, 11.0%, 10.5%. , 10.0%. Finally, the lower limit of the third winglet is 3.5%, 4.0%, 4.5%, 5.0%, 5.5%, 6.0%, and, more preferably, the upper limit is 10.5%, 10.0%, 9.5%, 9.0%, 8.5. % and 8.0%.

展向長度在此被界定為從諸小翼之根部(亦即,在小翼與鄰近小翼之分開處,而在第二小翼位於第一小翼與第三小翼之間的情況下,係其最內的分開處)至它們在與飛行方向垂直的方向 上且在傾角及雙面角為零的假設下(亦即,小翼係處於水平位置)之外端的距離。在小翼之非線性形狀(例如,像在具體例中之第一小翼的彎曲部分)的情況下,展向長度係有關於一種虛構的直線形狀(「展開」狀態),因為,這樣的彎曲係雙面傾斜的替代。更確切地說,它係有關於與飛行方向垂直的投影平面,且在其中,就所投影的小翼之上限與下限線之間的中間線方面來說,它係有關於機翼的長度。對於主機翼,維持相同的界定,但是從其基體的中間開始(一半翼展的意思)。測量主機翼之長度,一直到分開成諸多小翼;它不是包括該等小翼之整個機翼的長度。 The spanwise length is here defined as from the root of the winglets (ie, where the winglets are separated from the adjacent winglets, and where the second winglet is between the first winglet and the third winglet) , the innermost separation thereof) to the distance they are in the direction perpendicular to the flight direction and under the assumption that the inclination angle and the double-sided angle are zero (that is, the winglet is in the horizontal position). In the case of a non-linear shape of the winglet (for example, as in the curved portion of the first winglet in the specific example), the spanwise length is related to a fictitious straight line shape ("expanded" state) because, such The bending system is an alternative to double-sided tilting. More specifically, it is about a plane of projection perpendicular to the direction of flight, and in that it is about the length of the wing in terms of the middle line between the upper and lower limits of the projected winglet. For the main wing, the same definition is maintained, but starting from the middle of its base (half of the wingspan). The length of the main wing is measured until it is divided into a number of winglets; it is not the length of the entire wing including the winglets.

至於該等小翼之上述的相對長度區間,這些尺寸已證實就對諸小翼之功能的本質之主機翼的尖端渦旋之典型尺寸方面來說係實用且有效的。太小(太短)的小翼無法善用全部的機會,而太大的小翼以它們的各別的小翼尖端進入主機翼之尖端渦旋已太弱的區域中,以致於無法利用傾斜氣流於諸小翼(特別是第二及第三小翼)之整個長度,並且,作為本發明之特別較佳概念的上述擴大效應,將更可能產生兩個分開的渦旋場,而不是兩個疊加的渦旋場。 As regards the aforementioned relative length intervals of the winglets, these dimensions have proven to be practical and effective in terms of the typical dimensions of the tip vortex of the main wing of the nature of the winglets. Too small (too short) winglets are not able to take advantage of all the opportunities, and too small winglets with their respective winglet tips enter the area where the tip vortex of the main wing is too weak, so that the tilt cannot be utilized The entire length of the airfoil (especially the second and third winglets), and the above-described expansion effect as a particularly preferred concept of the present invention, would be more likely to produce two separate vortex fields instead of two Superimposed vortex fields.

再者,在諸小翼之展向長度之間具有較佳關係,亦即,第二小翼較佳地具有第一小翼之105%至180%的長度。同樣地,較佳的是,第三小翼的長度係第二小翼的60%至120%。其中,第一區間之更佳的下限係110%、115%、120%、125%、130%、135%及140%,而更佳的上限係175%、170%、165%及160%。第二區域之更佳的下限係65%、70%及75%,而更佳的上限係115%、110%、105%、100%、95%及90%。 Furthermore, there is a preferred relationship between the span lengths of the winglets, i.e., the second winglet preferably has a length of 105% to 180% of the first winglet. Likewise, preferably, the length of the third winglet is between 60% and 120% of the length of the second winglet. Among them, the lower limit of the first interval is 110%, 115%, 120%, 125%, 130%, 135% and 140%, and the upper limit is 175%, 170%, 165% and 160%. A preferred lower limit for the second zone is 65%, 70%, and 75%, and a more preferred upper limit is 115%, 110%, 105%, 100%, 95%, and 90%.

在更普遍的意義上,較佳的是,第二小翼至少與第三小翼一樣長(展向),較佳地,比第三小翼還長,以及,第三小翼(及因而第二小翼亦)至少與第一小翼一樣長,較佳地,比第一小翼還長。這基本上係起因於下面事實:第二小翼應該充分利用由第一小翼所擴大的擴大傾斜氣流區域,以便產生最大效果,以及,第三小翼應該再次產生類似或相似效果,但是將無法這樣作,因為能量已被從氣流取出。因此,應該限制尺寸,以便不會產生太大的阻力。 In a more general sense, it is preferred that the second winglet is at least as long (expanded) as the third winglet, preferably longer than the third winglet, and the third winglet (and thus The second winglet is also at least as long as the first winglet, preferably longer than the first winglet. This is basically due to the fact that the second winglet should make full use of the enlarged inclined airflow area expanded by the first winglet in order to produce maximum effect, and that the third winglet should again produce a similar or similar effect, but will This cannot be done because the energy has been removed from the airflow. Therefore, the size should be limited so as not to cause too much resistance.

更進一步,諸小翼之展弦比較佳地是在3至7的區間中,其中,更佳的下限係3.5及4.5,而更佳的上限係6.5、6.0及5.5。作為在此的任何定量限制,這係各別地有關於每個小翼,且有關於兩個小翼之具體例,其中,在翼弦方向上具有比較多的空間。對於三個小翼的具體例,展弦比可能有點高,且較佳地係在4至9的區間中,其中,較佳的下限係4.5及5.0,及更佳的上限係8.5、8.0及7.5。這再次係各別地有關於每個小翼。 Further, the chords of the winglets are preferably in the interval of 3 to 7, wherein the lower limit is 3.5 and 4.5, and the upper limit is 6.5, 6.0 and 5.5. As any quantitative limitation herein, this is specifically related to each winglet, and there are specific examples of the two winglets, in which there is more space in the chord direction. For a specific example of the three winglets, the aspect ratio may be somewhat high, and is preferably in the range of 4 to 9, with a preferred lower limit of 4.5 and 5.0, and a better upper limit of 8.5, 8.0 and 7.5. This again relates to each winglet individually.

雖然較高的展弦比在空氣動力的意義上係更有效率的,但是它們具有較小的面積,因而產生較小的力(因而產生小的推力)。換句話說,在已述長度限度內,相當的小翼面積係較佳的。另一方面,太低的展弦比會增加阻力,且最後會以增加的阻力減少有效推力而降低效率。總而言之,CFD模擬反覆地顯示大約5的最佳數值。 Although higher aspect ratios are more efficient in the aerodynamic sense, they have a smaller area and thus produce less force (and thus a small thrust). In other words, a comparable winglet area is preferred over the length limits already described. On the other hand, a too low aspect ratio will increase the resistance, and in the end will reduce the effective thrust with increased resistance and reduce efficiency. In summary, the CFD simulation repeatedly shows an optimum value of about 5.

展弦比被定義為以翼弦線長度(亦即,為平均值)除機翼之兩倍展向長度(亦即,在主機翼之情況下,飛機的整個翼展),同樣地,除小翼之兩倍展向長度。準確地,當估算翼弦線長度時,在本申請案中用以截止展向長度之外10%的定義在此亦是有效 的,以排除整流部結果及/或小翼之圓角化的影響。 The aspect ratio is defined as dividing the chord length (i.e., the average) by twice the span length of the wing (i.e., in the case of the main wing, the entire span of the aircraft), again, except The wingspan is twice the length of the exhibition. Accurately, when estimating the chord length, the definition of 10% outside the span length in the present application is also effective here to exclude the rectification result and/or the fillet of the winglet. influences.

本發明之較佳實施的小翼可以具有一定的根部翼弦長度。其數值係針對兩種情況(亦即,正好兩個小翼的情況及正好三個小翼的情況)來界定。對於兩個小翼,第一小翼的根部翼弦長度可以在主機翼之分裂成該等小翼附近的翼弦長度(不在該主機翼之根部)之25%至45%的區間中。 The preferred embodiment of the winglet of the present invention can have a certain root chord length. The values are defined for both cases (i.e., exactly the case of two winglets and exactly three winglets). For the two winglets, the root chord length of the first winglet may be in the range of 25% to 45% of the chord length (not at the root of the main wing) that the main wing splits into near the winglets.

在此情況下,對於第二小翼,各別的較佳區間係40%至60%。第一小翼之更佳的下限係27%、29%、31%,以及,第二小翼之更佳的下限係42%、44%、46%;第一小翼之更佳的上限係43%、41%、39%,以及,第二小翼之更佳的上限係58%、56%、54%。 In this case, for the second winglet, the respective preferred intervals are 40% to 60%. The lower limit of the first winglet is 27%, 29%, 31%, and the lower limit of the second winglet is 42%, 44%, 46%; the upper limit of the first winglet is better. 43%, 41%, 39%, and the upper limit of the second winglet is 58%, 56%, 54%.

在正好三個小翼之情況下,第一小翼具有主機翼之分裂部附近的翼弦長度之15%至35%的較佳區間,第二小翼具有25%至45%,以及,第三小翼具有15%至35%。第一小翼之更佳的下限係17%、19%、21%,第二小翼之更佳的下限係27%、29%、31%,以及,第三小翼之更佳的下限係17%、19%、21%。第一小翼之更佳的上限係33%、31%、29%,第二小翼之更佳的上限係43%、41%、39%,以及,第三小翼之更佳的上限係33%、31%、29%。該等小翼之各別的尖端翼弦長度較佳地係在其各別的根部翼弦長度之40%至100%的區間中,其中,更佳的下限係45%、50%、55%、60%,而更佳的上限係95%、90%、85%、80%。 In the case of exactly three winglets, the first winglet has a preferred range of 15% to 35% of the length of the chord near the split of the main wing, and the second winglet has 25% to 45%, and, The three winglets have 15% to 35%. The lower limit of the first winglet is 17%, 19%, 21%, the lower limit of the second winglet is 27%, 29%, 31%, and the lower limit of the third winglet is better. 17%, 19%, 21%. The upper limit of the first winglet is 33%, 31%, 29%, the upper limit of the second winglet is 43%, 41%, 39%, and the upper limit of the third winglet is better. 33%, 31%, 29%. The respective tip chord lengths of the winglets are preferably in the range of 40% to 100% of their respective root chord lengths, with a preferred lower limit being 45%, 50%, 55%. 60%, and the better upper limit is 95%, 90%, 85%, 80%.

通常,這些翼弦長度考量了可用的總長度、諸小翼之間的有利尺寸分佈及其期望的展弦比。再者,期望在飛行方向上諸小翼之間的某個分段距離能進行氣流之最佳化。從上述各別的翼弦長度之區間的中心可以看出,甚至在該等小翼的根部附近,可用長 度之5%至25%(較佳地至少10%,較佳地至多20%)的長度可大致整個地使用於此距離。此意味著,該等小翼的各別的翼弦長度較佳地不可加起來達到100%。 Typically, these chord lengths take into account the total length available, the advantageous size distribution between the winglets, and their desired aspect ratio. Furthermore, it is desirable to optimize the airflow at a certain segment distance between the winglets in the flight direction. It can be seen from the center of the interval of the respective chord lengths that 5% to 25% (preferably at least 10%, preferably at most 20%) of the length can be used even near the roots of the winglets. The length can be used substantially entirely throughout this distance. This means that the individual chord lengths of the winglets are preferably not addable up to 100%.

更進一步,專家可清楚知道,一些整流部(像在基體與主機翼之間的過渡處之所謂的機腹整流部)使用於主機翼的末端與諸小翼的根部之間的過渡區域中。因此,認為在主機翼之末端的翼弦長度亦起源於從分裂成諸多小翼起向內10%距離(相對於根據主機翼之一半翼展的長度)處,明確是在此過渡區域之外。以相同方式,認為諸小翼之根部翼弦長度起源於從分裂成該等小翼起向外10%位置處,妥善地位於該等小翼的適當翼形形狀內。同樣可適用於翼弦線相對於例如攻角的位置。 Furthermore, it will be apparent to the expert that some rectifications (such as the so-called belly rectification at the transition between the base and the main wing) are used in the transition between the end of the main wing and the root of the winglets. Therefore, it is believed that the length of the chord at the end of the main wing also originates from a 10% distance from the split into many winglets (relative to the length of one half span according to one of the main wing), clearly outside the transition zone. . In the same manner, it is believed that the root chord lengths of the winglets originate from 10% outward from the split into the winglets, properly located within the appropriate wing shape of the winglets. The same applies to the position of the chord line relative to, for example, the angle of attack.

更進一步,如下面所述之具體例中,在一些機翼及小翼中,使外前角圓角化。此圓角化可以藉由在小翼之最外部分中的翼弦長度之大幅減少來完成,但是不被認為是在相對於小翼根部之小翼尖端處的相對翼弦長度的上述特徵之一部分。因此,在此提及,小翼的長度在其尖端向內10%處之小翼的翼弦長度。 Further, in the specific example described below, the outer front corner is rounded in some of the wings and the winglets. This filleting can be accomplished by a substantial reduction in the length of the chord in the outermost portion of the winglet, but is not considered to be the aforementioned feature of the relative chord length at the tip of the winglet relative to the root of the winglet. portion. Therefore, it is mentioned here that the length of the winglet is chord length of the winglet at 10% inward of its tip end.

如先前所述,本發明較佳地使用於同一架飛機之彼此相對的兩個機翼。具體地,在兩側之本發明的兩個各別的機翼及小翼相對於在飛機之基體中的中心垂直平面可以是反對稱的。在這個意義上,本發明亦是有關於整個飛機。 As previously stated, the present invention is preferably used on two wings of the same aircraft that are opposite each other. In particular, the two individual wings and winglets of the present invention on both sides may be anti-symmetric with respect to a central vertical plane in the base of the aircraft. In this sense, the invention is also relevant to the entire aircraft.

飛機的較佳類型係所謂的運輸類飛機,其具有一定的尺寸且應該用於相當距離之大量旅客及貨物的運輸。在此,本發明之經濟優勢係最令人滿意的。本發明係有關於亞音速飛機,但是亦有關於穿音速飛機,其中特別在主機翼上方及亦可能在小翼上方局 部地發生超音速狀況。本發明亦有關於在超音速區域中具有長距離飛行速度之超音速飛機。 The preferred type of aircraft is the so-called transport class aircraft, which is of a certain size and should be used for the transportation of large numbers of passengers and cargo at considerable distances. Here, the economic advantage of the present invention is most satisfactory. The present invention relates to subsonic aircraft, but also to transonic aircraft, in which supersonic conditions occur particularly above the main wing and possibly above the winglet. The present invention also relates to supersonic aircraft having long-range flight speeds in the supersonic region.

再者,亦有鑑於用以升級現有的飛機之升級部分,構想出本發明。為了經濟原因,較佳的是,可以在一個傳統機翼(或兩個相對機翼)上加入包括至少兩個小翼之這樣的升級部分,而不是改變整個機翼或小翼。這是特別合理的,因為本發明之主要優點無法增加可能超出現有機械結構的限制之機翼的升力。更確切地說,本發明較佳地致力於實質推力貢獻,以改善效率及/或速度。因此,本發明亦有關於這樣的升級部分及其用途,以便根據本發明升級飛機或機翼。 Furthermore, the present invention has been conceived in view of the upgraded portion for upgrading an existing aircraft. For economic reasons, it is preferred to incorporate such an upgraded portion comprising at least two winglets on a conventional wing (or two opposing wings) rather than changing the entire wing or winglet. This is particularly sensible because the main advantage of the present invention is that it does not increase the lift of the wing that may exceed the limitations of existing mechanical structures. More specifically, the present invention preferably focuses on substantial thrust contributions to improve efficiency and/or speed. Accordingly, the present invention is also directed to such an upgraded portion and its use to upgrade an aircraft or wing in accordance with the present invention.

在兩種情況下,關於整個飛機及關於現有飛機的升級,飛機的第一模擬選擇一直是空中巴士型A320。在此,傳統機翼的向外部分(所謂的翼刀(fence))可以被拆缷,且以本發明之具有兩個或三個小翼的結構來取代。 In both cases, the first simulation choice for the entire aircraft and for the upgrade of the existing aircraft has been the Airbus A320. Here, the outward portion of the conventional wing (a so-called fence) can be dismantled and replaced with a structure of the invention having two or three winglets.

在下文將參考下面示例性具體例來進一步詳細說明本發明,該等具體例無意限制請求項之範圍,但僅用於說明目的。 The invention is further described in detail below with reference to the following exemplary embodiments, which are not intended to limit the scope of the claims.

1‧‧‧飛機 1‧‧‧Aircraft

2‧‧‧(主)機翼 2‧‧‧ (main) wing

3‧‧‧(主)機翼 3‧‧‧ (main) wing

4‧‧‧水平穩定翼 4‧‧‧Horizontal stable wing

5‧‧‧水平穩定翼 5‧‧‧Horizontal stable wing

6‧‧‧垂直尾翼 6‧‧‧Vertical tail

7‧‧‧機身;基體 7‧‧‧body; base

8‧‧‧(第一)小翼 8‧‧‧(first) winglet

9‧‧‧(第二)小翼 9‧‧‧(second) winglet

10‧‧‧(第三)小翼 10‧‧‧(third) winglet

11‧‧‧小翼 11‧‧‧Wings

12‧‧‧小翼 12‧‧‧Wings

13‧‧‧鏈線;(主機翼)翼弦線 13‧‧‧Chain line; (master wing) chord line

14‧‧‧底線 14‧‧‧ bottom line

15‧‧‧(機翼)外端;外翼端 15‧‧‧ (wing) outer end; outer wing end

16‧‧‧(氣流速度角度)最大值 16‧‧‧(airflow speed angle) maximum

17‧‧‧(外翼端)(氣流速度角度)最大值 17‧‧‧(outer wing end) (airflow speed angle) maximum

18‧‧‧(中間)(氣流速度角度)最大值 18‧‧‧ (middle) (airflow speed angle) maximum

20‧‧‧(主)機翼 20‧‧‧ (main) wing

B‧‧‧圓弧形 B‧‧‧ arc shape

b‧‧‧(機翼/小翼)(展向)長度 B‧‧‧(wing/winglet) length

b1‧‧‧(小翼)(展向)長度 B1‧‧‧(small wing) (expansion) length

b2‧‧‧(小翼)(展向)長度 B2‧‧‧(small wing) (expansion) length

b3‧‧‧(小翼)(展向)長度 B3‧‧‧(small wing) (expansion) length

cr‧‧‧(根部)(翼弦線)長度 Cr‧‧‧(root) (chord line) length

cr1‧‧‧(翼弦線)長度 Cr1‧‧‧(wing string) length

cr2‧‧‧(翼弦線)長度 Cr2‧‧‧(wing string) length

cr3‧‧‧(翼弦線)長度 Cr3‧‧‧(wing string) length

ct‧‧‧(尖端)(翼弦線)長度 Ct‧‧‧(tip) (chord line) length

ct1‧‧‧(翼弦線)長度 Ct1‧‧‧(wing string) length

ct2‧‧‧(翼弦線)長度 Ct2‧‧‧(wing string) length

ct3‧‧‧(翼弦線)長度 Ct3‧‧‧(wing string) length

Dn‧‧‧阻力 D n ‧‧‧ resistance

Fxn‧‧‧推力分量 F xn ‧‧‧ thrust component

Fxn,D‧‧‧(負)推力分量 F xn, D ‧‧‧ (negative) thrust component

Fxn,L‧‧‧(正)推力分量 F xn, L ‧‧‧ (positive) thrust component

L‧‧‧前緣 L‧‧‧ leading edge

Ln‧‧‧升力 L n ‧‧‧ Lift

ri‧‧‧半徑 Ri‧‧‧radius

r1‧‧‧半徑 R1‧‧‧ radius

r2‧‧‧半徑 R2‧‧‧ radius

R‧‧‧根部 R‧‧‧ Root

V1‧‧‧頂點 V1‧‧‧ vertex

V2‧‧‧頂點 V2‧‧‧ vertex

W‧‧‧小翼 W‧‧‧Wings

x‧‧‧(座標)軸;方向 X‧‧‧(coordinate) axis; direction

y‧‧‧(座標)軸;方向 Y‧‧‧(coordinate) axis; direction

z‧‧‧(座標)軸;方向 Z‧‧‧(coordinate) axis; direction

α‧‧‧角(度) ‧‧‧‧角(度)

β‧‧‧角(度) ‧‧‧‧角(度)

γ、γ1、γ2‧‧‧角(度) γ, γ1, γ2‧‧‧ angle (degrees)

η‧‧‧(距離)比值 Η‧‧‧ (distance) ratio

ε‧‧‧角(度) Ε‧‧‧角(度)

δ、δ1、δ2、δ3‧‧‧角(度) δ, δ1, δ2, δ3‧‧‧ angle (degrees)

圖1顯示包括六個示意繪製的小翼之本發明的飛機之平面圖。 Figure 1 shows a plan view of an aircraft of the present invention comprising six schematically drawn winglets.

圖2係用以說明以一個小翼產生推力之示意圖。 Figure 2 is a schematic view showing the generation of thrust by a winglet.

圖3a及3b係在尖端渦流中之氣流速度分佈的示意圖。 Figures 3a and 3b are schematic illustrations of the velocity profile of the gas flow in the tip vortex.

圖4係本發明之機翼的示意立體圖。 Figure 4 is a schematic perspective view of a wing of the present invention.

圖5係包括兩個小翼之本發明的翼尖之示意前視圖。 Figure 5 is a schematic front elevational view of the wing tip of the present invention including two winglets.

圖6係顯示關於圖5之傾斜角對距離的相依性之兩條曲線的曲 線圖。 Fig. 6 is a graph showing two curves regarding the dependence of the tilt angle on the distance of Fig. 5.

圖7係用以說明一具體例之兩個小翼的γ(gamma)角之示意側視圖。 Fig. 7 is a schematic side view for explaining a gamma angle of two winglets of a specific example.

圖8係用以說明δ(delta)角之相同小翼的前視圖。 Fig. 8 is a front view for explaining the same winglet of a δ (delta) angle.

圖9係空中巴士A320主機翼之平面圖。 Figure 9 is a plan view of the Airbus A320 main wing.

圖10係該機翼之前視圖。 Figure 10 is a front view of the wing.

圖11係該機翼之側視圖。 Figure 11 is a side view of the wing.

圖12係說明用於具體例中之模擬的參考線之側視圖。 Fig. 12 is a side view showing a reference line used for the simulation in the specific example.

圖13係說明相同參考線之上視圖。 Figure 13 is a top view of the same reference line.

圖14至17係說明具體例中之各種模擬的從主機翼尖端算起之不同距離處的β(beta)角之曲線圖。 14 to 17 are graphs showing β(beta) angles at different distances from the tip of the main wing of the various simulations in the specific example.

圖18係本發明之一具體例的三個小翼之前視圖,其顯示它們的雙面角。 Figure 18 is a front elevational view of three winglets of one embodiment of the invention showing their double sided angles.

圖19係用以說明一相對的雙面角之兩個小翼的另一前視圖。 Figure 19 is another front view of two winglets for illustrating an opposite double-sided angle.

圖20係用以說明第一小翼之彎曲的示意圖。 Figure 20 is a schematic view for explaining the bending of the first winglet.

圖21係用以說明傾斜角度之一個主機翼及三個小翼的剖面之側視圖。 Figure 21 is a side elevational view showing a section of a main wing and three winglets at an oblique angle.

圖22組合用以說明一個小翼之後掠角的前視圖與上視圖。 Figure 22 is a combination of a front view and a top view to illustrate the swept angle of a winglet.

圖23係用以說明其形狀的在一個平面上的三個小翼之上視圖。 Figure 23 is a top view of three winglets on one plane to illustrate the shape thereof.

圖24係本發明之整架飛機的立體圖。 Figure 24 is a perspective view of the entire aircraft of the present invention.

圖25係在飛機之一個主機翼尖端處的三個小翼之上視圖。 Figure 25 is a top view of three winglets at the tip of one of the main wing of the aircraft.

圖26係圖25之三個小翼的側視圖。 Figure 26 is a side elevational view of the three winglets of Figure 25.

圖27係其三個小翼之前視圖。 Figure 27 is a front view of its three winglets.

圖1係具有兩個主機翼2及3和兩個水平穩定翼4及5以及一個垂直尾翼6和一個機身或基體7之飛機1的平面圖。圖1應該表示一架具有四個推進發動機(在此未顯示)之空中巴士A320。然而,在圖1中,主機翼2及3之每一者分別具有三個小翼8、9、10。共用元件符號之兩個各別的小翼以類似方式彼此成鏡像對稱,因為,兩個主機翼2及3和基體7相對於通過基體之縱軸的垂直平面(垂直於繪圖平面)係鏡像對稱的。 1 is a plan view of an aircraft 1 having two main wings 2 and 3 and two horizontal stabilizing wings 4 and 5 and a vertical tail 6 and a fuselage or base 7. Figure 1 should show an Airbus A320 with four propulsion engines (not shown here). However, in Figure 1, each of the main wing 2 and 3 has three winglets 8, 9, 10, respectively. The two respective winglets of the common component symbol are mirror-symmetrical to each other in a similar manner, since the two main wing wings 2 and 3 and the base body 7 are mirror-symmetrical with respect to a vertical plane (perpendicular to the plane of the drawing) passing through the longitudinal axis of the substrate. of.

再者,顯示與飛行方向相反及因而與主氣流方向相同之x軸及與其垂直之水平y軸。z軸係垂直且向上的。 Furthermore, an x-axis opposite to the direction of flight and thus the same direction as the main airflow and a horizontal y-axis perpendicular thereto are displayed. The z-axis is vertical and upward.

圖2係主機翼2之翼形或剖面(在圖2中,對稱的標準機翼翼形,而在A320之情況下,不對稱翼形)及僅用於說明用之示例性小翼W的翼形(例如,用於穿音速飛行狀態之NACA 2412標準不對稱機翼翼形或RAE 5214不對稱機翼翼形)之示意側視圖。 Figure 2 is a wing or profile of the main wing 2 (in Figure 2, a symmetrical standard wing wing, in the case of the A320, an asymmetrical wing) and a wing that is only used to illustrate the exemplary winglet W A schematic side view of a shape (eg, a NACA 2412 standard asymmetrical wing wing or a RAE 5214 asymmetric wing wing for a sonic flight state).

水平實線係已提及的x軸。鏈線13對應於主機翼2之翼弦線(連接剖面之最前點與終點),其間的角度α(alpha)係主機翼之攻角。 The horizontal solid line is the x-axis already mentioned. The chain line 13 corresponds to the chord line of the main wing 2 (the leading point and the end point of the connection profile), and the angle α (alpha) therebetween is the angle of attack of the main wing.

另外,顯示小翼W(其示意性地表示小翼8、9、10中之一者)之剖面的底線14,以及此底線14與主機翼剖面之底線之間的角度為γ(所謂的傾角)。關於沿著機翼及小翼之各別的翼展的翼弦線之界定位置,參考以前說明過的內容。 Further, the bottom line 14 showing the section of the winglet W (which schematically represents one of the winglets 8, 9, 10) and the angle between the bottom line 14 and the bottom line of the main wing section are γ (so-called inclination angle) ). For the defined position of the chord line along the respective wingspan of the wing and winglet, refer to the previously described content.

圖3a及3b說明在飛行期間存在於任何一個翼尖的尖端渦旋。右側的箭頭場在繪製平面上表示關於方向及大小(箭頭長度)之氣流速度的分量。圖3a顯示x=2.5m之點(x=0對應於翼尖之前端)及圖3b係有關於x=3.4m之下游位置。可以看出,尖端渦旋 「隨著x之增加而逐漸形成」,以及,渦旋完全集中在翼尖周圍且隨著距翼尖之距離的增加而快速消失。這個陳述幾乎涉及從翼尖開始的任何方向,不具有定性差異,但具有小的定量差異。 Figures 3a and 3b illustrate the tip vortex present at any one of the wing tips during flight. The arrow field on the right represents the component of the airflow velocity with respect to direction and size (arrow length) on the drawing plane. Figure 3a shows the point of x = 2.5 m (x = 0 corresponds to the front end of the wing tip) and Figure 3b is for the downstream position of x = 3.4 m. It can be seen that the tip vortex "forms gradually as x increases" and that the vortex is completely concentrated around the wing tip and quickly disappears as the distance from the wing tip increases. This statement involves almost any direction from the tip of the wing, with no qualitative differences, but with small quantitative differences.

再者,圖3a及3b說明翼尖渦旋主要將一些向上分量與下區域中之一些向外分量及上區域中之一些向內分量一起添加至氣流速度。記住這一點,可了解到,圖2顯示相對於飛行方向x具有一個角度β之局部氣流方向。此局部氣流方向(與圖2之繪製平面垂直的被忽略之分量)衝擊象徵性的小翼W,且造成如箭頭所示之升力Ln。此升力被定義成與流動方向垂直。它可以被視為垂直向上分量與正推力分量Fxn,L的疊加。 Furthermore, Figures 3a and 3b illustrate that the wing tip vortex primarily adds some of the upward component to some of the outward component of the lower region and some of the inward component of the upper region to the airflow velocity. With this in mind, it can be seen that Figure 2 shows the local airflow direction having an angle β with respect to the direction of flight x. This local airflow direction (the neglected component perpendicular to the plane of the drawing of Figure 2) impacts the symbolic winglet W and causes the lift Ln as indicated by the arrow. This lift is defined to be perpendicular to the direction of flow. It can be regarded as a superposition of the vertical upward component and the positive thrust component F xn,L .

大部分同樣適用於小翼W之阻力Dn。阻力具有負推力分量,亦即,Fxn,D。在本說明書中較早提及的小翼W的推力貢獻因而是它們的差,亦即,Fxn=Fxn,L-Fxn,D,且是正的。這是本發明的意圖,亦即,小翼之正的有效推力貢獻。 Most of the same applies to the resistance D n of the winglet W. The resistance has a negative thrust component, ie, F xn, D . The thrust contributions of the winglets W mentioned earlier in this specification are thus their difference, that is, F xn = F xn, L - F xn, D , and are positive. This is the intent of the present invention, that is, the positive effective thrust contribution of the winglets.

圖4顯示圖2之主機翼2及兩個示例性小翼,亦即,8及9。主機翼2相對於y軸有點傾斜一個所謂的後掠角,且具有隨著距基體7之距離而從根部翼弦線長度cr減少至尖端翼弦線長度ct的翼弦線長度。在機翼外端15,安裝有小翼8及9,其亦與圖5作對照。 Figure 4 shows the main wing 2 of Figure 2 and two exemplary winglets, namely, 8 and 9. The main wing 2 is slightly inclined with respect to the y-axis by a so-called sweep angle and has a chord length that decreases from the root chord length cr to the tip chord length ct with distance from the base 7. At the outer end 15 of the wing, winglets 8 and 9 are mounted, which are also in contrast to FIG.

圖5顯示投影在y-z平面上之機翼2和小翼8及9,且顯示主機翼2之長度b(b係從在y=0的基體7之中心沿著前述的主機翼2之翼展來測量的)和小翼8及9之各別的長度b1及b2。為了簡單起見,機翼2和小翼8及9僅顯示為直線和水平。然而,相對於繞著與x軸平行的軸線機翼2的傾斜,不會導致定性變化。 Figure 5 shows the wing 2 and winglets 8 and 9 projected on the yz plane, and shows the length b of the main wing 2 (b is from the center of the base 7 at y = 0 along the aforementioned wingspan of the main wing 2 The respective lengths b1 and b2 of the winglets 8 and 9 are measured. For the sake of simplicity, the wing 2 and winglets 8 and 9 are only shown as straight lines and horizontal. However, no change in the qualitative direction is caused with respect to the inclination of the wing 2 about the axis parallel to the x-axis.

圖6顯示包含兩條曲線之曲線圖。垂直軸係有關於β(對照圖2),亦即,投影在x-z平面上之局部氣流方向的傾斜角。 Figure 6 shows a graph containing two curves. The vertical axis is related to β (cf. Fig. 2), that is, the tilt angle of the local airflow direction projected on the x-z plane.

水平線顯示「η(eta)」,亦即,從機翼外端15算起的距離除以b(主機翼2之長度)。 The horizontal line shows "η(eta)", that is, the distance from the outer end 15 of the wing divided by b (the length of the main wing 2).

具有十字記號之第一曲線係有關於沒有小翼8及9之狀況,因而在定性上對應於圖3a及3b。顯示圓圈記號之第二曲線係有關於第一小翼8之下游,且因而係有關於第二小翼9之上游的氣流分佈(第一曲線係有關於同一個x位置)。這些曲線係由氣流分佈(例如,圖3a及3b)之電腦模擬所產生。 The first curve with a cross mark is related to the absence of the winglets 8 and 9, and thus qualitatively corresponds to Figures 3a and 3b. The second curve showing the circle mark is related to the downstream of the first winglet 8, and thus to the airflow distribution upstream of the second winglet 9 (the first curve is for the same x position). These curves are generated by computer simulations of airflow distribution (eg, Figures 3a and 3b).

可容易看出,第一曲線在接近機翼外端15顯示最大值16,而第二曲線在那裡具有最大值17,在大約η=1.025處具有中間最小值,及在大約η=1.055處具有另一最大值18,以及從那裡向外遞減。再者,第二曲線下降至超過它的較小(左側)最大值之50%,且超過它的較大(右側)最大值之40%的數值,而它在大約η=1.1處(即,在距外翼端15約長度b的10%之距離處)下降至仍然超過它的較大最大值之25%的數值。對照圖2,這種角度分佈對於小翼9之已描述功能係良好的基礎。 It can be easily seen that the first curve shows a maximum value 16 near the outer end 15 of the wing, while the second curve has a maximum value of 17 there, has an intermediate minimum at about η = 1.025, and has a value of about η = 1.055. The other maximum is 18, and it is decremented from there. Furthermore, the second curve drops to more than 50% of its smaller (left) maximum and exceeds 40% of its larger (right) maximum, while it is at approximately η = 1.1 (ie, At a distance of about 10% of the length b of the outer wing end 15) it drops to a value that still exceeds 25% of its larger maximum. Referring to Figure 2, this angular distribution is a good basis for the described function of the winglet 9.

已以飛機類型空中巴士A320為基礎進行模擬。下面將說明這些模擬。至目前為止,本發明者藉由小翼之推力貢獻及整體升力之小增加(在可能大約1%之升力的增加之範圍內)達成圖1所示之具有三個小翼的飛機之整體阻力的大約3%之減少。這種升力之增加使飛機能以稍低傾角(對照圖2中之α)飛行,造成整體阻力之進一步減少。這些模擬已以ANSYS之電腦程式CFD(計算流體動力學)來進行。 The simulation has been based on the aircraft type Airbus A320. These simulations will be explained below. Up to now, the inventors have achieved the overall resistance of the aircraft with three winglets shown in Figure 1 by the thrust contribution of the winglet and the small increase in overall lift (within an increase of approximately 1% of the lift). Approximately 3% reduction. This increase in lift allows the aircraft to fly at a slightly lower angle of inclination (cf. a in Figure 2), resulting in a further reduction in overall drag. These simulations have been performed using ANSYS's computer program CFD (Computational Fluid Dynamics).

作為一般的基礎研究,具有標準NACA 0012主機翼翼形及NACA 2412小翼翼形且小翼相對於主機翼不具有任何傾斜(因而,具有圖4及5之設置)之一組兩個小翼(第一及第二小翼)的推力貢獻之最佳化的電腦模擬,已顯示展弦比為5係一個不錯的選擇。雖然較高的展弦比在空氣動力的意義上係更有效率的,但是它們具有較小的面積,因而產生較小的力(因而,產生較小的推力)。換句話說,在1.5m之長度b2(翼展)的限制(用於A320)內,相當的小翼面積係較佳的。另一方面,太低的展弦比增加阻力,且最後以增加的阻力減少有效推力而降低效率。總而言之,CFD模擬反覆地顯示大約5的最佳數值。 As a general basic study, there is a standard NACA 0012 main wing shape and a NACA 2412 winglet shape and the winglets do not have any inclination relative to the main wing (and thus have the settings of Figures 4 and 5). The computer simulation of the optimal thrust contribution of the first and second winglets has shown a good choice for the 5 series. Although higher aspect ratios are more efficient in the aerodynamic sense, they have a smaller area and thus produce less force (and therefore less thrust). In other words, within the limit of length b2 (wing span) of 1.5 m (for A320), a comparable winglet area is preferred. On the other hand, a too low aspect ratio increases the resistance, and finally reduces the effective thrust with increased resistance to reduce efficiency. In summary, the CFD simulation repeatedly shows an optimum value of about 5.

在這個基礎上,再次對照圖4及5之設置及圖6之結果,A320之上游第一小翼8長度b1被選為2/3,亦即,1m,以便使下游第二小翼9能利用擴大的渦旋區域之主要部分。 On this basis, again with reference to the settings of FIGS. 4 and 5 and the result of FIG. 6, the length b1 of the first winglet 8 upstream of the A320 is selected to be 2/3, that is, 1 m, so that the downstream second winglet 9 can Use the main part of the enlarged vortex area.

平均翼弦長度係由指狀翼之長度及固定的展弦比所產生。對於飛機機翼,翼弦線長度通常朝向外方向減小。對於上游第一小翼8,在根部處的翼弦線長度為400mm及在尖端處的翼弦線長度為300mm,而對於下游第二小翼9,根部翼弦長度為600mm及尖端翼弦長度為400mm。這些數值係直覺且任意地選擇。 The average chord length is produced by the length of the finger wings and a fixed aspect ratio. For aircraft wings, the chord length is typically reduced toward the outer direction. For the upstream first winglet 8, the chord length at the root is 400 mm and the chord length at the tip is 300 mm, while for the downstream second winglet 9, the root chord length is 600 mm and the tip chord length It is 400mm. These values are chosen intuitively and arbitrarily.

對於小翼,取代上述(可輕易取得的)初步模擬之NACA 2412,已選擇穿音速翼形RAE 5214,其為標準穿音速翼形,且很適合於A320在它的典型飛行速度和高度下之空氣動力狀態,其將在下面作比較。空中巴士A320係用於本發明之文件齊全且在經濟上重要的模範飛機。 For the winglet, instead of the above (available easily) preliminary simulation of the NACA 2412, the transonic airfoil RAE 5214 has been chosen, which is a standard transonic airfoil and is well suited for the A320 at its typical flight speed and altitude. The aerodynamic state will be compared below. The Airbus A320 is used in the documentary and economically important exemplary aircraft of the present invention.

大部分有影響的參數為傾角γ及雙面角δ(亦即,關於 繞著與飛行方向平行之軸線旋轉的傾角)。在第一粗糙映射研究中,映射步驟為3°至5°的γ及10°的δ。在此粗糙映射中,在模擬中已包含第一及第二參數(但是沒有第三參數),以便具有三個小翼之研究的基礎。 The most influential parameters are the inclination angle γ and the double-sided angle δ (i.e., the inclination angle about the axis about the flight direction). In the first rough mapping study, the mapping step was γ of 3° to 5° and δ of 10°. In this rough map, the first and second parameters (but no third parameter) are already included in the simulation in order to have the basis of the study of the three winglets.

圖7說明角度γ,亦即,小翼8(第一小翼)之γ1及小翼9(第二小翼)之γ2,兩者以翼形來顯示(對照圖2),它們的翼弦線係相對於主機翼翼形及其翼弦線。圖8以圖5之視角說明角度δ,但為較少示意性的。再者,δ1係有關於第一小翼8,而δ2係有關於第二小翼9。在圖8之左側部分的結構係用於CFD模擬的瞬時結構。這些結構未對應於必須安裝有小翼(在中間及右側的細長結構)之實際A320主機翼,但是他們定義了一個實用模型來實現模擬。 Figure 7 illustrates the angle γ, i.e., γ1 of the winglet 8 (first winglet) and γ2 of the winglet 9 (second winglet), both of which are shown in the shape of a wing (cf. Fig. 2), their chords The line is relative to the main wing shape and its chord line. Figure 8 illustrates the angle δ from the perspective of Figure 5, but is less schematic. Furthermore, δ1 is related to the first winglet 8, and δ2 is related to the second winglet 9. The structure in the left part of Fig. 8 is used for the instantaneous structure of the CFD simulation. These structures do not correspond to the actual A320 main wing that must be fitted with winglets (slim structures in the middle and right), but they define a practical model to implement the simulation.

圖9顯示A320之主機翼的平面圖,翼尖向下,以及,基體未被顯示出來,但是將會是在上方。圖9顯示A320之主機翼20,其在末端處實際上具有所謂的翼刀(fence)結構,亦即,垂直板,這種翼刀結構在此被省略,因為它將被本發明之小翼所取代。 Figure 9 shows a plan view of the main wing of the A320 with the wing tip down and the base body not shown, but will be above. Figure 9 shows the main wing 20 of the A320, which actually has a so-called fence structure at the end, that is, a vertical plate, which is omitted here because it will be the winglet of the present invention Replaced.

圖10以前視圖顯示主機翼20,圖11以側視圖(垂直於飛行方X的透視圖)顯示主機翼20。在圖10及11中可以看出A320之主機翼的稍微傾斜V形幾何形狀。 The front view of Fig. 10 shows the main wing 20, and Fig. 11 shows the main wing 20 in a side view (perspective view perpendicular to the flying side X). A slightly inclined V-shaped geometry of the main wing of the A320 can be seen in Figures 10 and 11.

已選擇0.78馬赫的典型飛行速度及35,000英尺之典型飛行高度,此表示0.380kg/m3的空氣密度(相較下:在地面為1.125kg/cm3)、23.842Pa的靜態壓力、218.8K的靜態溫度及450kts(231.5m/s)的實際空速。相較於適用於較低速度及因而特別適用於較小的客機之不壓縮模擬模型,在此所選擇的速度對可壓縮模擬模型來說係有道理的。這意味著,壓力及溫度係氣流中的變數,且 出現具有1馬赫以上的氣流速度之局部區域(稱為穿音速流)。飛機的總重量係約70噸。處於飛行中的形狀之主機翼端的典型攻角α為1.7°。這個數值被描述於圖2中,且係有關於主機翼在它的尖端處的翼弦線相對於實際飛行方向的角度。它已由這個角度的變化及所得到的整體升力的計算來決定。當等於所需要的70時,所提及的數值大致是正確的。 A typical flight speed of Mach 0.78 and a typical flight altitude of 35,000 feet have been chosen, which represents an air density of 0.380 kg/m 3 (compared to: 1.125 kg/cm 3 on the ground), a static pressure of 23.842 Pa, 218.8 K Static temperature and actual airspeed of 450 kts (231.5 m/s). The speed chosen here is justified for the compressible simulation model compared to the uncompressed simulation model for lower speeds and thus particularly suitable for smaller passenger aircraft. This means that the pressure and temperature are variables in the gas flow, and a localized region having a gas flow velocity of 1 Mach or more (referred to as a sound transmissive flow) occurs. The total weight of the aircraft is about 70 tons. The typical angle of attack α of the main wing end of the flying shape is 1.7°. This value is depicted in Figure 2 and is related to the angle of the chord line of the main wing at its tip relative to the actual flight direction. It has been determined by this change in angle and the calculation of the overall lift obtained. When equal to the required 70, the values mentioned are roughly correct.

在這個映射中,某一參數組(隨後命名為V0040)已被選為最佳值,且作為用於下更詳細比較的基礎。 In this map, a parameter group (later named V0040) has been selected as the best value and serves as the basis for the next more detailed comparison.

小翼8及9(指狀翼一及指狀翼二)的γ及δ值被列在表I中,表I顯示出,第一小翼8具有-10°的γ角及-20°的δ角(負優先級意味著關於圖7及圖8之逆時針旋轉),而第二小翼9具有-5°的γ角及-10°的δ角。從此開始,在表I之第三及第四列中,第一小翼8的γ角分別減少及增加有2°,以及,在第五及第六列中,第一小翼8的δ角分別減少及增加有10°。對於第二小翼9,下面四列重複相同的排程。為了比較,第一列係有關於不具有小翼(且不具有翼刀)之主機翼。在已提及的γ及δ值左側的行中,列出模擬號。V0040係第二個。 The gamma and delta values of winglets 8 and 9 (finger wing 1 and finger wing 2) are listed in Table I. Table I shows that the first winglet 8 has a gamma angle of -10° and a -20° The δ angle (negative priority means counterclockwise rotation with respect to Figures 7 and 8), while the second winglet 9 has a gamma angle of -5° and a δ angle of -10°. From this point on, in the third and fourth columns of Table I, the gamma angle of the first winglet 8 is reduced and increased by 2°, respectively, and, in the fifth and sixth columns, the δ angle of the first winglet 8 The reduction and increase are 10° respectively. For the second winglet 9, the next four columns repeat the same schedule. For comparison, the first column has a main wing with no winglets (and no wing knives). In the row to the left of the already mentioned gamma and delta values, the analog number is listed. V0040 is the second one.

從第六行開始,其在γ及δ值的右側,顯示模擬結果,亦即,以N(如同所有其它的力,牛頓)為單位之在主機翼的外側部分上之X方向上的力(阻力)。在第七行中,顯示在此外側部分上之Z方向上的力(升力)。這個外側部分從主機翼尖端向內約4.3m的界線開始界定。它可以被使用在這些模擬中,因為,此外側部分顯示小翼之明確影響,而內側部分及基體則沒有。 Starting from the sixth line, on the right side of the gamma and delta values, the simulation results are displayed, that is, the force in the X direction on the outer portion of the main wing in units of N (like all other forces, Newtons) ( resistance). In the seventh row, the force (lift) in the Z direction on this outer portion is displayed. This outer portion is defined starting from the boundary of the main wing tip inward by about 4.3 m. It can be used in these simulations because the outer part shows the clear influence of the winglet, while the inner part and the base do not.

下面四行顯示兩個小翼的阻力及升力(「指狀翼一及 二」為第一及第二小翼)。請注意,在第一列之「指狀翼一」的資料係有關於所謂的翼尖(德語:Randbogen),翼尖係在主機翼之向外界面與已提及的翼刀結構間之結構。這個翼尖係多少有點圓的外翼端且在此被視為「第一小翼」,以進行公正比較。它可由安裝至相同界面之本發明的小翼來取代。 The following four lines show the resistance and lift of the two winglets ("Finger Ones and Two" are the first and second winglets). Please note that the information in the first column of "Finger Wing One" is about the so-called wingtip (German: Randbogen), the structure of the wing tip between the outer interface of the main wing and the winged structure already mentioned. . This wing tip is a somewhat rounded outer wing end and is considered a "first winglet" here for a fair comparison. It can be replaced by the winglets of the present invention mounted to the same interface.

下面一行顯示包含外側部分及內側部分以及小翼之機翼的整個升力/阻力比(第一列除外)。 The lower row shows the overall lift/drag ratio of the wing including the outer and inner sections and the winglet (except for the first column).

下一行係由兩個小翼以各種構形所達成之關於阻力(「δ X方向的力」)的減少,以及各別的相對值係在倒數第二行中。 The next line is the reduction in resistance ("force in the δ X direction") achieved by the two winglets in various configurations, and the respective relative values are in the penultimate row.

最後,顯示相對升力/阻力比改善。請注意,表I包括捨入值,而計算係由精確值來完成;當檢查表I中的數字時,這說明了一些小的不一致性。 Finally, the relative lift/resistance ratio is shown to improve. Note that Table I includes rounding values, and calculations are done with exact values; when examining the numbers in Table I, this illustrates some minor inconsistencies.

可輕易地看出,V0040一定近似於局部最佳值,因為,分別為2.72%及6.31%的阻力減少及升力阻力比改善在整個表中係最佳結果。第一小翼8之γ的小減少(從-10至-8)造成第四列(V0090)之大致好的結果。同樣適用於第二小翼9之δ從-10°至0°的減少,對照倒數第二列的V0093。再者,第一小翼8之δ從-20°至-30°的減少幾乎沒有改變結果,參照V0091。然而,所有其它結果多少有點顯著惡化。 It can be easily seen that V0040 must approximate the local optimum because the resistance reduction and the lift resistance ratio improvement of 2.72% and 6.31%, respectively, are the best results in the entire table. The small reduction in gamma of the first winglet 8 (from -10 to -8) results in a generally good result for the fourth column (V0090). The same applies to the decrease of δ from -10° to 0° of the second winglet 9, compared to V0093 of the penultimate column. Furthermore, the decrease in δ of the first winglet 8 from -20° to -30° hardly changes the result, refer to V0091. However, all other results have somewhat deteriorated significantly.

圖12顯示以圖11之視角來觀看的側視圖,但是具有兩個小翼被添加至圖11中之主機翼,此外,具有兩條紋線,供以後參考(用於氣流速度角度的參考線),以及圖13顯示具有相同於圖12之參考線的主機翼尖端及兩個小翼的平面圖。兩條參考線在小翼之各別的前緣上游10cm處且與該前緣平行。 Figure 12 shows a side view as seen from the perspective of Figure 11, but with two winglets added to the main wing of Figure 11, in addition, with two stripe lines for later reference (reference line for airflow velocity angle) And Figure 13 shows a plan view of the main wing tip and two winglets having the same reference line as Figure 12. The two reference lines are 10 cm upstream of the respective leading edges of the winglets and are parallel to the leading edge.

圖14係與圖6相當的曲線圖,亦即,在垂直軸上顯示角度β(beta),且顯示沿著剛剛說明的參考線之距主機翼尖端的距離。基本參數組及模擬V0040係以圓圈記號來表示,V0046係以三角形記號來表示,以及,V0090係以菱形記號來表示。實線係有關於在第一小翼8上游的參考線,以及,虛線係有關於在第二小翼9上游且在第一小翼8下游之另一參考線。表I闡明V0046的第一小翼8具有減少的γ角,以及,V0090的第一小翼8具有增加2°步階的γ角。 Figure 14 is a graph corresponding to Figure 6, i.e., showing the angle β(beta) on the vertical axis and showing the distance from the tip of the main wing along the reference line just described. The basic parameter group and the simulation V0040 are indicated by a circle symbol, V0046 is represented by a triangle symbol, and V0090 is represented by a diamond symbol. The solid line is for the reference line upstream of the first winglet 8, and the dashed line is for another reference line upstream of the second winglet 9 and downstream of the first winglet 8. Table I illustrates that the first winglet 8 of V0046 has a reduced gamma angle, and that the first winglet 8 of V0090 has a gamma angle that increases the step of 2[deg.].

首先,曲線顯示,如實線所示,甚至在第一小翼8上游,第一小翼8產生顯著「擴大」的渦旋區域。相較於圖6,沒有明顯的第二個最大值(在圖6中的18),但是,在0.5m與約1.2m之間具有大致固定的β角。主機翼之各別長度為16.35m,此意味著,例如,大致上,1.5m有1.031的η,而1.2m有1.07的η(對照圖6)。 First, the curve shows that, as indicated by the solid line, even upstream of the first winglet 8, the first winglet 8 produces a significantly "expanded" vortex region. Compared to Figure 6, there is no significant second maximum (18 in Figure 6), but with a substantially fixed beta angle between 0.5 m and about 1.2 m. The respective lengths of the main wing are 16.35 m, which means, for example, that substantially 1.5 m has a η of 1.031, and 1.2 m has a η of 1.07 (cf. Fig. 6).

這個β值係大約9°,其為在0°處的最大值之大約70%(兩者適用於兩個小翼之間的參考線,亦即,虛線曲線)。再者,具有減少的γ值,V0046(三角形記號)顯示在第一小翼8上游有增加的β,而在其下游有減少的β。與此相反,具有增加的γ值,V0090顯示在第一小翼8下游有增加的β,而在其上游有減少的β。因此,對照圖14,傾角γ可增強小翼間(特別是,對於靠近主機翼尖端1m內的位置)之氣流的上升趨勢。在此情況下,1m距離以上的β值不會因此而惡化。表I中之結果顯示,此參數組之整體表現甚至比V0040好一點。這顯然是由於整體阻力的減少所引起(但是已增加傾角),亦即,因對整體推力之更大貢獻所造成。 This beta value is about 9°, which is about 70% of the maximum at 0° (both apply to the reference line between the two winglets, that is, the dashed curve). Again, with a reduced gamma value, V0046 (triangle symbol) shows an increased beta upstream of the first winglet 8 and a reduced beta downstream of it. In contrast, with an increased gamma value, V0090 shows an increased beta downstream of the first winglet 8 and a reduced beta upstream of it. Therefore, with reference to Fig. 14, the inclination angle γ enhances the upward trend of the airflow between the winglets (particularly, the position within 1 m near the tip end of the main wing). In this case, the β value of 1 m or more does not deteriorate as a result. The results in Table I show that the overall performance of this parameter group is even better than V0040. This is obviously caused by a decrease in overall resistance (but the dip has been increased), that is, due to a greater contribution to the overall thrust.

另一方面,對照表I,從10°至8°(因而,從V0040至V0046)之γ值的減少明顯造成大幅度惡化的結果。因此,在進一步的優化步驟中,可以分析更高的γ值,但其不小於10°且可能甚至比12°小一點。 On the other hand, in comparison with Table I, the decrease in the γ value from 10° to 8° (hence, from V0040 to V0046) significantly causes a large deterioration. Therefore, in a further optimization step, a higher gamma value can be analyzed, but it is not less than 10° and may even be smaller than 12°.

再者,圖15顯示類似曲線圖,但是用於V0040與V0092及V0091作比較。在此,對照表I及圖8,第一小翼8之角度δ從-20°變化至-10°及變化至-30°。明顯地,這對第一小翼8上游的氣流速度角度(β)分佈幾乎沒有影響(實線),但是它對第一小翼8下游的氣流角度有影響(虛線)。再者,β值對於1m以下的距離因δ值的增加而增加一點點,亦即,針對V0091。在表I中之各別的表現結果與V0040的那些幾乎相同,且在圖15中的β值亦明顯是如此。 Again, Figure 15 shows a similar plot, but for V0040 compared to V0092 and V0091. Here, in comparison with Table I and FIG. 8, the angle δ of the first winglet 8 is changed from -20° to -10° and is changed to -30°. Obviously, this has little effect on the airflow velocity angle (β) distribution upstream of the first winglet 8 (solid line), but it has an effect on the airflow angle downstream of the first winglet 8 (dashed line). Furthermore, the value of β is increased by a little bit for a distance of 1 m or less due to an increase in the value of δ, that is, for V0091. The respective performance results in Table I are almost the same as those of V0040, and the β value in Fig. 15 is also apparently the same.

另一方面,減少δ值至-10,因而使兩個小翼並排(如朝飛行方向看),會定性地改變在圖15中之虛線曲線。對於高達至1m(亦即,第一小翼8之長度),β值減少了,而對於那個距離值以上,β值明顯增加了。似乎,第二小翼9係有些在第一小翼8之庇護下有高達1m,且在1m以上距離處「看到」小翼尖端渦旋。綜上所述,如表I所示,這沒有改善結果,但是造成一些惡化。本發明假定在1m以上距離處的β值增加沒有補償在較小距離處的β值減少。 On the other hand, reducing the delta value to -10, thus aligning the two winglets side by side (as seen in the direction of flight), will qualitatively change the dashed curve in Figure 15. For values up to 1 m (i.e., the length of the first winglet 8), the beta value is reduced, and for that distance value, the beta value is significantly increased. It seems that the second winglet 9 is somewhat up to 1 m under the shelter of the first winglet 8, and "sees" the winglet tip vortex at a distance of more than 1 m. In summary, as shown in Table I, this did not improve the results, but caused some deterioration. The present invention assumes that an increase in the beta value at a distance of more than 1 m does not compensate for a decrease in beta value at a small distance.

圖16顯示另一個類似曲線圖,現在係有關於第二小翼9之γ角的變化。再者,此顯示未對第一小翼8上游的β值有太大的影響(實線),但是對兩個小翼間之β值有重大影響(虛線)。在此,β值係隨著γ從5°減少至3°而增加,而且,相反地,它們隨著γ從5°增加至7°而減少。以相似於圖14之實線的方式,進入這個小翼 之氣流,明顯減少在該小翼之上游的氣流之傾角。表I中之結果清楚地顯示兩種變化V0038及V0042降低表現結果。特別地,兩個小翼間之β因第二小翼9之γ的增加而減少使升力/阻力改善顯著惡化。再者,這個小翼的之太大傾角確實產生更大的升力,但是亦超過比例地產生更大的阻力,因而造成惡化。 Figure 16 shows another similar graph, now with respect to the change in the gamma angle of the second winglet 9. Again, this display does not have a large effect on the beta value upstream of the first winglet 8 (solid line), but has a significant effect on the beta value between the two winglets (dashed line). Here, the β value increases as γ decreases from 5° to 3°, and conversely, they decrease as γ increases from 5° to 7°. In a manner similar to the solid line of Figure 14, the flow into this winglet significantly reduces the angle of inclination of the airflow upstream of the winglet. The results in Table I clearly show that the two variations V0038 and V0042 reduce the performance results. In particular, the decrease in γ between the two winglets due to the increase in γ of the second winglet 9 significantly deteriorates the lift/resistance improvement. Moreover, the too large inclination of this winglet does produce more lift, but it also produces more resistance than proportionally, thus causing deterioration.

明顯地,關於下一個優化步驟,下游小翼的γ值應該保持在5°。 Obviously, with regard to the next optimization step, the gamma value of the downstream winglets should be kept at 5°.

最後,圖17係有關於第二小翼9的δ角之變化,且產生相似於圖15之結果:對於V0094,兩個小翼的δ值為-20°,再者,第二小翼9似乎在上游小翼的庇護下,且顯示受會造成比較差的結果(特別是關於升力阻力比)之其小翼尖端渦旋的影響。V0093增加兩個小翼間之δ差,沒有改變δ值太大,且在表I中產生相似(有些改善的)結果。此外,關於下一個優化步驟,第二小翼9的δ在0°與-10°之間的範圍係令人感興趣的。 Finally, Fig. 17 is about the change of the δ angle of the second winglet 9, and produces a result similar to that of Fig. 15: for V0094, the δ value of the two winglets is -20°, and further, the second winglet 9 It appears to be under the protection of the upstream winglet and shows the effect of the winglet tip vortex that would result in poorer results (especially regarding the lift resistance ratio). V0093 increases the delta difference between the two winglets without changing the delta value too much and produces similar (some improved) results in Table I. Furthermore, with regard to the next optimization step, the range of δ of the second winglet 9 between 0° and -10° is of interest.

以上述結果為基礎,進行關於三個小翼且再次基於有關A320之上面已說明內容的進一步研究。因為可行的模擬總數係有限的,所以,本發明人專注於針對兩個小翼所已經發現的內容。因此,根據關於整個機翼之2.7%以上的阻力減少及升力/阻力比的可比較結果(對照表I之倒數第四行及倒數第二行),特別考量在V0040、V0090、V0091及V0093下之參數。結果,關於傾角γ及雙面角δ之不同數值的模擬係根據這四個參數值來實施,且以上面對於第一及第二小翼所述之相似方式來進行評估。 Based on the above results, further studies were conducted on the three winglets and again based on the above description of the A320. Since the total number of possible simulations is limited, the inventors focused on what has been found for the two winglets. Therefore, based on the comparison of the resistance reduction and lift/resistance ratio of more than 2.7% of the entire wing (compared to the fourth and last penultimate rows of Table I), special considerations are given under V0040, V0090, V0091 and V0093. The parameters. As a result, simulations of different values for the dip angle γ and the double-sided angle δ are performed based on these four parameter values and evaluated in a similar manner as described above for the first and second winglets.

同時,關於A320之主機翼的飛行中形狀之資料可用於主要影響:在主機翼之翼端處的翼弦線從在上述計算下之所謂的 型架形狀旋轉約1.5°。這可以由下述稍微修改的γ來看出。更進一步,關於整個飛機之不同傾角的阻力之資料係可利用的,以致於,可以評估整體升力之改善(藉由小翼之升力貢獻,及藉由因渦旋引起的損失之限制所造成的主機翼之升力的增加)對因飛機之傾角的變化所引起之整體阻力的影響。 At the same time, information on the in-flight shape of the main wing of the A320 can be used for the main effect: the chord line at the wing end of the main wing is rotated about 1.5° from the so-called form shape under the above calculation. This can be seen by the slightly modified γ described below. Furthermore, information on the resistance of the different dip angles of the entire aircraft is available so that the overall lift improvement can be assessed (by the lift contribution of the winglets and by the limitation of losses due to vortexing). The increase in lift of the main wing) affects the overall resistance caused by changes in the inclination of the aircraft.

結果(未詳細顯示於此)顯示V0091基準證實係有利的。下面將說明各別的具體例。 The results (not shown in detail here) show that the V0091 benchmark proves to be advantageous. Specific examples will be described below.

圖18顯示朝x方向看到之此具體例的小翼8、9、10之前視圖,並且描述這三個小翼之雙面角δ1、δ2、δ3。最上小翼係第一小翼,中間小翼係第二小翼,以及最下小翼係第三下游小翼。圖18定性地顯示在接連小翼間之相當的但有限的相對雙面角證實為對於三個小翼的具體例係有利的。 Fig. 18 shows a front view of the winglets 8, 9, 10 of this specific example seen in the x direction, and describes the double-sided angles δ1, δ2, δ3 of the three winglets. The top winglet is the first winglet, the middle winglet is the second winglet, and the lower winglet is the third downstream winglet. Figure 18 qualitatively shows that the equivalent but limited relative double-sided angle between successive winglets is confirmed to be advantageous for the particular example of the three winglets.

藉此機會,圖19根據請求項用語說明相對的雙面角之界定。在與圖18相同之視角下,第一及第二小翼顯示有不同大小之兩個半徑r1及r2。垂直與水平線之會合點係為根部R,且係所示等腰三角形之頂點,等腰三角形之其它兩個頂點係在兩個小翼之前緣上且稱為V1及V2。如果採取可能在兩個小翼中之較短的小翼(亦即,第一小翼)內之所有半徑ri的平均,線R-V1與線R-V2間之角度係相對的雙面角。 Taking this opportunity, Figure 19 illustrates the definition of the relative double-sided angle according to the terms of the request. At the same viewing angle as in Fig. 18, the first and second winglets are shown with two radii r1 and r2 of different sizes. The point of convergence of the vertical and horizontal lines is the root R and is the apex of the isosceles triangle shown. The other two vertices of the isosceles triangle are on the front edges of the two winglets and are referred to as V1 and V2. If an average of all radii ri in the shorter winglets (ie, the first winglet) of the two winglets is taken, the angle between the line R-V1 and the line R-V2 is the opposite double-sided angle .

線R-V1與第一小翼之前緣之間的可見差異,係與下面所要說明的第一小翼之彎曲有關,此彎曲亦是在圖18中之δ1的線與第一小翼間之偏差的遠因。 The visible difference between the line R-V1 and the leading edge of the first winglet is related to the bending of the first winglet to be described below, which is also between the line of δ1 and the first winglet in Fig. 18. The far cause of deviation.

圖20說明上述第一小翼之彎曲,其可以說是沿著展向長度之某一部分的雙面角之一部分的分佈。實際上,在圖20中, 前緣L被示意性地顯示成從根部R開始且沿著圓弧形B彎曲,圓弧形B在750mm之半徑及-15°之弧形角度下延伸有其長度之1/3(330mm)。在從R處開始時,第一小翼之前緣具有-20°之雙面角。此意味向外彎曲,第一小翼之長度的第二及第三部分之雙面角實際上為-35°。在從R沿著第一小翼之整個展向長度至它的外端之平均中,約-30°之平均雙面角係由沿著上述弧形「分佈」之-15°所產生。 Figure 20 illustrates the bending of the first winglet described above, which can be said to be a distribution of a portion of the double-sided angle along a portion of the spanwise length. In fact, in Fig. 20, the leading edge L is schematically shown to start from the root portion R and is curved along the arc shape B, which has a radius of 750 mm and an arc angle of -15°. One third of the length (330mm). At the beginning of R, the leading edge of the first winglet has a double-sided angle of -20°. This means that the two-sided angle of the second and third portions of the length of the first winglet is actually -35°. In the average from R along the entire span length of the first winglet to its outer end, an average double sided angle of about -30 is produced by -15° along the arc "distribution".

理由是這樣的,在此特別具體例中,具有-30°之雙面角的第一小翼之筆直前緣,對於提供前緣至主機翼端之前緣(在所謂的整流部(fairing)區域中)的平滑過渡係有點困難的,然而,具有-20°之雙面角,平滑過渡沒有造成任何問題。因此,為了實現-30°之平均值,已選擇圖20之解決方式。 The reason is this, in this particular embodiment, the straight leading edge of the first winglet having a double-sided angle of -30°, for providing the leading edge to the leading edge of the main wing end (in the so-called fairing area) The smooth transition of the middle is somewhat difficult, however, with a double-sided angle of -20°, the smooth transition does not cause any problems. Therefore, in order to achieve an average of -30°, the solution of Fig. 20 has been selected.

通常,使用像圖20所示之沿著展向方向不是筆直的小翼形狀,係在本發明的教示內。他們甚至可以像以前指出的那樣沿著整個長度形成弧形。在發明人的觀點中最相關的是平均的相對雙面角。如果,例如第一及第二小翼係以相似方式形成弧形,以致於,在根部具有一個固定頂點之先前所述的等腰三角形構造,會隨著由小翼前緣的曲率所引起之其等邊長度的增加而越來越傾向,則依據此構造的相對雙面角甚至可能沿著前緣幾乎保持不變。然而,在沿著例如第二小翼之展向長度的某一個部分處,沿著第一小翼之展向長度的最近部分,係以相對雙面角(記住,在翼端之渦旋的有些旋轉對稱形狀)及三角形構造所充分描述之方式相對於第二小翼來定位。 In general, the use of a winglet shape that is not straight along the spanwise direction as shown in Figure 20 is within the teachings of the present invention. They can even form an arc along the entire length as previously pointed out. The most relevant among the inventors' views is the average relative double-sided angle. If, for example, the first and second winglets are curved in a similar manner, such that the previously described isosceles triangular configuration with a fixed apex at the root is caused by the curvature of the leading edge of the winglet As the length of the equilateral increases increases, the relative double-sided angle according to this configuration may even remain almost constant along the leading edge. However, at a portion along the spanwise length of, for example, the second winglet, the nearest portion of the length along the span of the first winglet is at a relatively double sided angle (remember, the vortex at the wing end The somewhat rotationally symmetric shape) and the triangular configuration are fully described in a manner relative to the second winglet.

在此具體例中之第二及第三小翼的絕對雙面角為δ2=-10°及δ3=+10°,其中,此具體例之這兩個小翼不具有圖20所 述之弧形。因此,第一與第二小翼間之相對雙面角為20°,其係相同於第二與第三小翼間之相對雙面角,並且,對照圖18,第一小翼比第二小翼更向上傾斜,第二小翼比第三小翼更向上傾斜。圖18所示之角度δ1係在第一小翼之根部的起始雙面角,亦即,-20°,而非-30°之平均值。 The absolute double-sided angles of the second and third winglets in this specific example are δ2=-10° and δ3=+10°, wherein the two winglets of this specific example do not have the arc described in FIG. shape. Therefore, the relative double-sided angle between the first and second winglets is 20°, which is the same as the relative double-sided angle between the second and third winglets, and, with reference to FIG. 18, the first winglet is second The winglet is tilted upwards and the second winglet is inclined more upward than the third winglet. The angle δ1 shown in Fig. 18 is the initial double-sided angle at the root of the first winglet, that is, -20° instead of the average of -30°.

關於傾角,參考圖21,其顯示通過三個小翼8、9、10及主機翼2之剖面的側視圖。這些剖面當然是不同的,亦即,如先前所述,小翼之展向長度從各別的分裂位置算起的向外之10%處,而在主機翼2之情況下為向內之10%處,以提供未受干擾的翼弦線。翼弦線及各別的角度γ1、γ2、γ3被顯示於圖21中。對於第一小翼,角度γ1=-9°,對於第二小翼,角度γ2=-4°,對於第三小翼,角度γ3=-1°,這些全部係相對於在所述外側位置的主機翼翼弦線及處於小翼和主機翼之飛行中形狀(針對此具體例說明之所有參數係有關於飛行中形狀)來界定。 Regarding the tilt angle, reference is made to Fig. 21, which shows a side view through a section of the three winglets 8, 9, 10 and the main wing 2. These profiles are of course different, that is, as previously described, the spanwise length of the winglets is 10% outward from the respective split position, and in the case of the main wing 2 is the inward 10 % to provide undisturbed chord lines. The chord line and the respective angles γ1, γ2, γ3 are shown in FIG. For the first winglet, the angle γ1 = -9°, for the second winglet, the angle γ2 = -4°, for the third winglet, the angle γ3 = -1°, all of which are relative to the outer position The main wing chord and the in-flight shape of the winglet and main wing (all parameters described for this particular example are related to the shape in flight) are defined.

圖21亦顯示在主機翼2之翼弦線上及在各別的小翼8、9、10之翼弦線上的各別的旋轉點。就小翼之各別的翼弦線長度方面來說,旋轉點大約在其1/3處。就主機翼2之翼弦線長度方面來說,第一小翼之旋轉點係在16.7%處(0%為翼弦線上之最前面的點),第二小翼之旋轉點係在54.8%處,以及,第三小翼之旋轉點係在88.1%處。 Figure 21 also shows the respective points of rotation on the chord line of the main wing 2 and on the chord lines of the respective winglets 8, 9, 10. In terms of the length of the individual chords of the winglets, the point of rotation is approximately 1/3 of it. In terms of the length of the chord of the main wing 2, the rotation point of the first winglet is 16.7% (0% is the foremost point on the chord line), and the rotation point of the second winglet is 54.8%. At the same time, the rotation point of the third winglet is 88.1%.

圖22說明代表性小翼9之後掠角ε,亦即,在其前緣與一與飛行方向成垂直之水平方向(在圖22中之y)之間的角度。在此,小翼9被認為是水平的(δ及γ在虛構方式中為零)。或者,可以使用小翼9之展向長度來取代它在被投影至水平面的y方向上之實 際延伸。請注意,圖22所述之小翼8的弧形將被視為展開的。換句話說,展向長度包含弧形的長度。 Figure 22 illustrates the sweep angle ε of the representative winglet 9, i.e., the angle between its leading edge and a horizontal direction (y in Figure 22) perpendicular to the direction of flight. Here, the winglet 9 is considered to be horizontal (δ and γ are zero in the imaginary mode). Alternatively, the spanwise length of the winglet 9 can be used instead of its actual extension in the y-direction projected onto the horizontal plane. Please note that the arc of the winglet 8 described in Figure 22 will be considered unfolded. In other words, the span length includes the length of the arc.

在本具體例中,主機翼2之後掠角為27.5°。從這個數值開始的變化顯示,對於小翼,32°之增加的後掠角係優選的,換句話說,4.5°的後掠角係相對於主機翼的後掠角。在此具體例中這適用於第二及第三小翼9、10,然而,對照下面所述之圖25的上視圖,對於第一小翼8,後掠角已稍微增加至34°,以便保持至第二小翼9之前緣有一定的距離。 In this embodiment, the main wing 2 has a sweep angle of 27.5°. The change from this value shows that for the winglet, an increased sweep angle of 32° is preferred, in other words, a sweep angle of 4.5° is relative to the sweep angle of the main wing. This applies to the second and third winglets 9, 10 in this particular example, however, in contrast to the top view of Figure 25 described below, for the first winglet 8, the sweep angle has been increased slightly to 34° so that Keep a certain distance to the front edge of the second winglet 9.

圖23係三個小翼8、9、10之虛構上視圖,以便說明它們的形狀。虛構的原因是,雙面角及傾角在圖23中為零且第一小翼8之弧形係展開的。圖23因而顯示各別的展向長度b1、b2、b3。進一步顯示在展向長度在分裂位置(這些係在圖23之底部)向外的10%處之翼弦線長度cr1、cr2、cr3,及在展向長度在小翼尖端向內的10%處之尖端翼弦線長度ct1、ct2、ct3。 Figure 23 is a fictional top view of three winglets 8, 9, 10 to illustrate their shape. The reason for the fiction is that the double-sided angle and the tilt angle are zero in Fig. 23 and the arc of the first winglet 8 is unfolded. Figure 23 thus shows the respective spanwise lengths b1, b2, b3. Further showing the chord length cr1, cr2, cr3 at 10% outward of the spanwise length at the split position (these are at the bottom of Figure 23), and 10% of the spanwise inward at the tip of the winglet The tip chord length is ct1, ct2, ct3.

實際的數值係(依第一小翼、第二小翼及第三小翼的順序):0.4m、0.6m、0.4m的根部翼弦線長度ct;0.3m、0.4m、0.25m的尖端翼弦線長度cr;1m、1.5m、1.2m的展向長度b。這些根部翼弦線長度cr分別對應於主機翼在其端部處的翼弦線長度之約25%、約37%及約25%;這些尖端翼弦線長度分別對應於該等根部翼弦線長度的75%、67%及63%;這些展向長度分別對應於主機翼的展向長度(16.4m)之6.1%、9.2%及7.3%。 Actual numerical values (in order of the first winglet, second winglet and third winglet): root chord length ct of 0.4m, 0.6m, 0.4m; tip of 0.3m, 0.4m, 0.25m The chord length cr; the span length b of 1 m, 1.5 m, and 1.2 m. The root chord lengths cr respectively correspond to about 25%, about 37%, and about 25% of the length of the chord at the end of the main wing; these tip chord lengths correspond to the root chords, respectively 75%, 67%, and 63% of the length; these spanwise lengths correspond to 6.1%, 9.2%, and 7.3% of the span length (16.4m) of the main wing, respectively.

請注意,圖23所示之後掠角非為旋轉運行結果。這可以看出,翼弦線長度cr及ct保持不變且保持在x-z平面上,換句話說,在圖23中之水平面上。這是必要的,以便不會因後掠角 之採用而干擾翼形。 Note that the sweep angle shown in Figure 23 is not the result of the rotation run. It can be seen that the chord lengths cr and ct remain unchanged and remain in the x-z plane, in other words, on the horizontal plane in FIG. This is necessary so as not to interfere with the wing shape due to the use of the sweep angle.

更進一步,圖23顯示小翼之形狀的各別的外前角之圓角化。這個圓角化係涉及在展向長度的90%與100%之間的區域,其中,翼弦線長度從展向長度之90%至100%持續減少了翼弦線長度之50%,以致於在圖23之上視圖中產生弧形。通常的作法係在機翼之外前角處使用圓角化,以避免在銳角形狀處的紊流。藉由剛剛所述之在展向長度的外10%內之翼弦線長度的減少,可以保持翼形的定性本質。 Further, Fig. 23 shows the fillet of the respective outer rake angles of the shape of the winglets. This filleting system involves an area between 90% and 100% of the span length, wherein the chord length continues to reduce the chord length by 50% from 90% to 100% of the span length, so that An arc is produced in the upper view of Fig. 23. The usual practice is to use fillet at the front corners outside the wing to avoid turbulence at sharp corners. The qualitative nature of the wing shape can be maintained by the reduction of the length of the chord line within the outer 10% of the span length as just described.

在此所使用之翼形適合於A320在其典型飛行速度及飛行高度下之主機翼處的穿音速狀態且被命名為RAE 5214。如剛才所述,此翼形在小翼之展向長度的外10%內仍然是有效的。 The wing shape used herein is adapted to the transonic state of the A320 at the main wing at its typical flight speed and flight altitude and is designated RAE 5214. As just described, this wing shape is still effective within 10% of the span of the winglet.

更進一步,為了製造和穩定性原因,藉由在所有小翼之各別的翼弦線長度的98%處作切割,小翼的後緣(與前緣相對)係鈍的。 Furthermore, for manufacturing and stability reasons, the trailing edge of the winglet (as opposed to the leading edge) is blunt by cutting at 98% of the length of the respective chord of all the winglets.

圖23所示之形狀至實際3D幾何的轉換係如下:首先,採用圖23所示之後掠角。其次,採用第一小翼之具有半徑750mm及角度15°的沿著其展向長度之內1/3的彎曲。然後,藉由傾角γ的旋轉使小翼傾斜。接著,亦即,藉由使第一小翼向上傾斜20°(另外,在彎曲中係傾斜15°)、使第二小翼向上傾斜10°及使第三小翼向下傾斜10°,以調整雙面角。 The transformation from the shape shown in Fig. 23 to the actual 3D geometry is as follows: First, the sweep angle shown in Fig. 23 is employed. Secondly, the first winglet has a radius of 750 mm and an angle of 15° along a bend of 1/3 of its span length. Then, the winglets are tilted by the rotation of the inclination angle γ. Then, that is, by tilting the first winglet by 20° (in addition, tilting by 15° during bending), tilting the second winglet by 10° and the third winglet by 10° downward, Adjust the double-sided angle.

請注意,上述轉換程序係無關於型架形狀及稍微不同且取決於主機翼和小翼之彈性的製造幾何形狀。這些彈性係主機翼和小翼之機械結構的主體,這個主體不是本發明之一部分,且會因不同情況而有所不同。然而,機械工程師的通常作法是藉由例如有 限元素計算來預測在空氣動力負載下的機械變形。實際電腦程式的一個範例係NASTRAN。 Please note that the above conversion procedure is independent of the shape of the frame and the manufacturing geometry that is slightly different and depends on the elasticity of the main wing and winglet. These elastic bodies are the main body of the mechanical structure of the main wing and the winglet. This body is not part of the present invention and may vary from case to case. However, it is common practice for mechanical engineers to predict mechanical deformation under aerodynamic loads by, for example, finite element calculations. An example of an actual computer program is NASTRAN.

因此,根據實際的實施,型架形狀會變化,但是飛行中形狀可能不會改變。當然是飛行中形狀負責本發明之空氣動力性能及經濟優勢。 Therefore, depending on the actual implementation, the shape of the frame may vary, but the shape may not change during flight. Of course, the in-flight shape is responsible for the aerodynamic performance and economic advantages of the present invention.

表II顯示剛才所述之三個小翼的具體例之一些定量結果。其係與沒有本發明但相較於表I包含有所謂的翼刀之A320進行比較。此翼刀係類似小翼的結構,以及,像表I中之翼刀的省略,係有關於藉由添加本發明之(兩個)小翼的構造至無小翼的飛機之改善,而表II顯示本發明(亦即,它的三個小翼的具體例)相對於實際上使用之包括翼刀的實際A320之改善。這個被命名為B0001。 Table II shows some quantitative results for specific examples of the three winglets just described. This is compared to A320 without the invention but with a so-called wing knife as shown in Table 1. This wing cutter is similar to the structure of the winglet, and, like the omission of the blade in Table I, is related to the improvement of the aircraft by adding the (two) winglets of the present invention to the wingless aircraft, and II shows an improvement of the present invention (i.e., a specific example of its three winglets) relative to the actual A320 including the blade cutter actually used. This is named B0001.

兩種情況之升力與阻力比(L/D)被顯示在第二及第三行中,以及,本發明之相對改善以百分比值被顯示在第四行中。這是在55t與80t之間的飛機之六個不同總質量的情況,而表I只是有關於70t。質量間之差異主要是由於油箱容量及因而由於飛行距離所造成。 The lift and drag ratio (L/D) for both cases is shown in the second and third rows, and the relative improvement of the present invention is shown in the fourth row as a percentage value. This is the case for six different total masses of the aircraft between 55t and 80t, while Table I is only about 70t. The difference in quality is mainly due to the tank capacity and thus the flight distance.

表II清楚顯示本發明相對於實際A320之升力與阻力比的改善為在輕的情況中之近2%與在重的情況中之近5%之間。這顯示出,本發明越有效,主機翼所產生之渦旋越顯著(在重的情況下,所需的升力當然大得多)。相較於表I,升力與阻力比的改善係較小的(在表I中,最佳情況為約6.3%)。這是由於在表II中所包含之傳統翼刀的正面效應及由於主機翼之飛行中變形(亦即,會減少渦旋至一定程度的主機翼之一定的扭曲)所造成。對於70t的典型情況,包括本發明之三個小翼的具體例之A320相較於包括翼刀之傳 統A320的阻力減少,目前為約4%(只有機翼)及3%(整個飛機)。這種改善主要是由於第二小翼之推力貢獻、且亦是由於小翼之有限升力貢獻、及主機翼藉由渦旋之減少而改善的升力所造成。如先前所述,升力貢獻允許整個飛機在飛行狀態下的較小傾角,因而可被「轉換」成阻力減少。結果為剛才所述的約3%。 Table II clearly shows that the improvement in lift and drag ratio of the present invention relative to the actual A320 is between nearly 2% in the light case and nearly 5% in the heavy case. This shows that the more effective the invention, the more pronounced the vortex produced by the main wing (in the case of heavy, the required lift is of course much larger). Compared to Table I, the improvement in lift to drag ratio is small (in Table I, the best case is about 6.3%). This is due to the positive effects of the conventional wing knives included in Table II and due to the deformation of the main wing during flight (i.e., the vortex to a certain degree of distortion of the main wing). For the typical case of 70t, the A320 including the specific example of the three winglets of the present invention has a reduced resistance compared to the conventional A320 including the wing cutter, and is currently about 4% (only the wing) and 3% (the entire aircraft). This improvement is mainly due to the thrust contribution of the second winglet and also due to the limited lift contribution of the winglet and the increased lift of the main wing by the reduction of the vortex. As previously stated, the lift contribution allows for a smaller angle of inclination of the entire aircraft in flight and can therefore be "converted" into reduced drag. The result is about 3% just described.

為了說明,圖24至27顯示A320及三個小翼之3D形狀,亦即,圖24之整個飛機的立體圖、圖25之主機翼端及諸小翼的上視圖(朝負z方向)、圖26之側視圖(朝y方向)及最後的圖27之前視圖(朝x方向)。 To illustrate, Figures 24 through 27 show the 3D shape of the A320 and the three winglets, that is, the perspective view of the entire aircraft of Figure 24, the top view of the main wing end of the Figure 25 and the winglets (toward the negative z-direction), Side view of 26 (in the y direction) and final view of Fig. 27 (in the x direction).

這些圖式顯示在主機翼端與小翼間之整流部區域中的平滑過渡,且亦顯示在第一及第二小翼之後緣的向內部分之一些增厚。這些構造可直覺得知且意在避免紊流。 These figures show a smooth transition in the rectifying area between the main wing end and the winglet and also show some thickening of the inward portions of the trailing edges of the first and second winglets. These configurations are straightforward and intended to avoid turbulence.

Claims (15)

一種用於飛機之機翼,此機翼包括:一外翼端,相對於此機翼之用於安裝至飛機的內側,位於此機翼之相對立側上;至少兩個小翼,位在該外翼端上而連接至此機翼,該等小翼之上游第一小翼在此機翼之飛行方向上係位在該等小翼之下游第二小翼前面,如逆著其飛行方向所見,該第一小翼與該第二小翼係以在5°至35°之區間內的相對的雙面角δ1、δ2相互成傾斜,其中,該相對的雙面角δ1、δ2被定義為在其根部具有一頂點的等腰三角形之該等小翼的根部處,亦即,在水平方向上兩個小翼之分裂點處、且在垂直方向上該等小翼之前緣的位置之中間,之開口角度,一個頂點在該第一小翼之前緣上,而一個頂點在該第二小翼之前緣上,如在逆著其飛行方向之投影中所見,該三角形具有兩個相等的三角形邊之可變的長度,以及,該相對的雙面角區間對於沿著該第一小翼及該第二小翼中之較短者的等邊長度之至少70%係有效的。  A wing for an aircraft, the wing comprising: an outer wing end opposite to the inner side of the wing for mounting on the opposite side of the wing; at least two winglets, at The outer wing end is connected to the wing, and the first winglet upstream of the winglet is fastened in front of the second winglet downstream of the winglet in the flight direction of the wing, such as against the flight direction As can be seen, the first winglet and the second winglet are inclined to each other with respect to the opposite double-sided angles δ1, δ2 in the interval of 5° to 35°, wherein the opposite double-sided angles δ1, δ2 are defined a root of the winglets having an isosceles triangle having a vertex at its root, that is, at the splitting point of the two winglets in the horizontal direction and at the position of the leading edge of the winglets in the vertical direction In the middle, the opening angle, a vertex on the leading edge of the first winglet, and a vertex on the leading edge of the second winglet, as seen in the projection against the direction of flight, the triangle has two equal The variable length of the triangle edge, and the relative double-sided angle interval for At least 70% of the equilateral length of the shorter of the first winglet and the second winglet is effective.   如請求項1之機翼,其中,相關於其各別的小翼翼弦線,亦即,在該小翼之長度從分裂成此機翼之該等小翼起向外的10%位置處,相對於此機翼的主機翼翼弦線,在此機翼之主機翼長度從分裂成此機翼之該等小翼起向內的10%位置處,該等小翼係繞著與該飛行方向垂直之水平軸線而以對該第一小翼之傾角γ1及對該第二小翼之傾角γ2傾斜,在其各別的根部處,傾角γ1係在-15°至-5°之區間內,傾角γ2係 在-10°至0°之區間內,以及在其各別的尖端處,傾角γ1係在-13°至-3°之區間內,傾角γ2係在-8°至+2°之區間內,其傾角區間在各別的小翼根部與尖端之間進行線性插值,其中,如從該飛機之左側所見,正傾角表示小翼之順時針旋轉,該等傾角區間對於分別沿著該第一小翼及該第二小翼之展向長度的至少70%係有效的。  The wing of claim 1, wherein the respective winglet chords are associated with each other, that is, at a distance of 10% from the length of the winglets split into the wing, Relative to the main wing chord of the wing, the length of the main wing of the wing is 10% inward from the winglets split into the wing, and the winglets are wound with the flight direction The horizontal axis of the vertical is inclined by the inclination angle γ1 of the first winglet and the inclination angle γ2 of the second winglet, and at each of the roots, the inclination angle γ1 is in the range of -15° to -5°. The inclination angle γ2 is in the range of -10° to 0°, and at its respective tip, the inclination angle γ1 is in the range of -13° to -3°, and the inclination angle γ2 is in the range of -8° to +2°. In the interval, the inclination interval is linearly interpolated between the roots of the respective winglets and the tip end, wherein, as seen from the left side of the aircraft, the positive inclination angle represents the clockwise rotation of the winglets, and the inclination angle ranges are respectively At least 70% of the length of the first winglet and the second winglet are effective.   如請求項1或2之機翼,其中,具有在該第二小翼之下游的第三小翼,如逆著該飛行方向所見,該第三小翼與該第二小翼係以在5°至35°之區間內的相對的雙面角δ2、δ3相互成傾斜,其中,該相對的雙面角δ2、δ3被定義為在其根部上具有一頂點的等腰三角形之該等小翼的根部處,亦即,在水平方向上兩個小翼之分裂點處、且在垂直方向上該等小翼之前緣的位置之中間,之開口角度,一個頂點在該第二小翼之前緣上,而一個頂點在該第三小翼之前緣上,如在逆著該飛行方向之投影中所見,該三角形具有兩個相等的三角形邊之可變的長度,以及,該相對的雙面角區間對於沿著該第二小翼及該第三小翼中之較短者的等邊長度之至少70%係有效的。  The wing of claim 1 or 2, wherein the third winglet downstream of the second winglet, as seen against the direction of flight, the third winglet and the second winglet are at 5 The relative double-sided angles δ2, δ3 in the interval from ° to 35° are inclined to each other, wherein the opposite double-sided angles δ2, δ3 are defined as the isosceles of the isosceles triangle having a vertex at the root thereof At the root, that is, at the splitting point of the two winglets in the horizontal direction, and in the middle of the position of the leading edge of the winglets in the vertical direction, the opening angle, a vertex at the leading edge of the second winglet Above, and a vertex is on the leading edge of the third winglet, as seen in the projection against the flight direction, the triangle has a variable length of two equal triangular sides, and the opposite double-sided angle The interval is effective for at least 70% of the equilateral length along the shorter of the second winglet and the third winglet.   如請求項2之機翼,其中,任選地與請求項3組合,該第三小翼對於其小翼翼弦線,亦即,在該小翼之長度從分裂成此機翼之該等小翼起向外的10%位置處,相對於此機翼的主機翼翼弦線,在此機翼之主機翼長度從分裂成此機翼之該等小翼起向內的10%位置 處,係繞著與該飛行方向垂直之水平軸線而以傾角γ3傾斜,而該傾角在其根部處係在-7°至+3°之區間內,在其尖端處則在-5°至+5°之區間內,其傾角區間在該第三小翼的根部與該第三小翼的尖端之間進行線性插值,其中,如從飛機之左側所見,正傾角表示該小翼之順時針旋轉,以及該傾角區間對於沿著該第三小翼之展向長度的至少70%係有效的。  The wing of claim 2, wherein, optionally, in combination with claim 3, the third winglet is small for its winglet chord, that is, the length of the winglet is split into the wing The flank is 10% outward, relative to the main wing chord of the wing, where the length of the main wing of the wing is 10% from the wing that splits into the wing. It is inclined at an inclination angle γ3 around a horizontal axis perpendicular to the flight direction, and the inclination angle is in the range of -7° to +3° at the root thereof, and is -5° to +5° at the tip end thereof. In the interval, the inclination interval is linearly interpolated between the root of the third winglet and the tip of the third winglet, wherein, as seen from the left side of the aircraft, the positive inclination angle indicates the clockwise rotation of the winglet, and the The dip interval is effective for at least 70% of the span length along the third winglet.   如請求項1至4中任一項之機翼,其中,對於所有的小翼,一相對於此機翼之前緣之後掠角,相對於此機翼之後掠角係在-5°至-35°之區間內,亦即,參照關於在各別的小翼之翼展的20%至80%的範圍內之每一小翼的前緣之平均線。  The wing of any one of claims 1 to 4, wherein for all of the winglets, a sweep angle relative to the leading edge of the wing is between -5 and -35 relative to the wing's sweep angle. Within the interval of °, that is, reference to the average line of the leading edges of each of the winglets in the range of 20% to 80% of the wingspan of the respective winglets.   如前述請求項中任一項之機翼,其中,該第一小翼係相對於該第二小翼向上傾斜。  A wing according to any of the preceding claims, wherein the first winglet is inclined upward relative to the second winglet.   如請求項3之機翼,其中,任選地與請求項4至6中任一項組合,而其中,該第二小翼係相對於該第三小翼向上傾斜。  The wing of claim 3, wherein optionally in combination with any one of claims 4 to 6, wherein the second winglet is inclined upward relative to the third winglet.   如前述請求項中任一項之機翼,其中,如逆著該飛行方向所見,該第一小翼之相對於水平線傾斜的雙面角δ1係在-45°至-15°之區間內,該雙面角的負值表示向上傾斜,該第二小翼之各別的雙面角δ2係在-25°至+5°之區間內,以及,如果有的話,該第三小翼之各別的雙面角δ3係從-5°至+25°,其中,該雙面角被定義為在其根部具有一頂點的等腰三角形之該小翼的根部處,亦即,在水平方向上該等小翼之分裂點或在三個小翼的情況下之最內分裂點處、且在垂直方向上該各別的小翼之前緣的位置上,之開口角度,一個頂點在該各別的小翼之前緣上,而一 個頂點在包含該根部上之頂點的水平線上,如在逆著該飛行方向之投影中所見,該三角形具有兩個相等的三角形邊之可變的長度,以及,該等雙面角區間對於沿著該各別的小翼之等邊長度的至少70%係有效的。  A wing according to any one of the preceding claims, wherein the double-sided angle δ1 of the first winglet inclined with respect to the horizontal line is in the range of -45° to -15° as seen against the flight direction, The negative value of the double-sided angle indicates an upward tilt, and the respective double-sided angle δ2 of the second winglet is in the range of -25° to +5°, and, if any, the third winglet The respective double-sided angle δ3 is from -5° to +25°, wherein the double-sided angle is defined as the root of the winglet having an isosceles triangle having a vertex at its root, that is, in the horizontal direction The angle at which the splitting point of the winglets or the innermost splitting point in the case of the three winglets, and the position of the leading edge of the respective winglet in the vertical direction, a vertex at each On the front edge of the other winglet, and a vertex on the horizontal line containing the apex on the root, as seen in the projection against the flight direction, the triangle has a variable length of two equal triangle sides, and The two-sided corner sections are effective for at least 70% of the length of the equal sides along the respective winglets.   如前述請求項中任一項之機翼,其中,該第一小翼具有在此機翼之主機翼展向長度的2%至10%之區間內的展向長度b1,該第二小翼具有在此機翼之主機翼展向長度的4%至14%之區間內的展向長度b2,以及,如果有的話,該第三小翼具有在該機翼之主機翼展向長度的3%至11%之區間內的展向長度b3。  A wing according to any of the preceding claims, wherein the first winglet has a span length b1 in the interval of 2% to 10% of the length of the main wing of the wing, the second winglet Having a span length b2 in the range of 4% to 14% of the length of the main wing of the wing, and, if any, the third wing has a length on the main wing of the wing The span length b3 in the range of 3% to 11%.   如前述請求項中任一項之機翼,其中,該第二小翼具有在該第一小翼的展向長度b1之105%至180%的區間內之展向長度b2,以及,如果有的話,該第三小翼具有在該第二小翼的展向長度b2之60%至120%的區間內之展向長度b3。  A wing according to any of the preceding claims, wherein the second winglet has a spanwise length b2 in a range of 105% to 180% of the spanwise length b1 of the first winglet, and if The third winglet has a span length b3 in a range of 60% to 120% of the span length b2 of the second winglet.   如前述請求項中任一項之機翼,其中,在兩個小翼的情況下,該第一小翼及該第二小翼具有在3至7的區間內之各別的展弦比,且其中,在三個小翼的情況下,該第一小翼、該第二小翼及該第三小翼具有在4至9的區間內之各別的展弦比。  A wing according to any of the preceding claims, wherein, in the case of two winglets, the first winglet and the second winglet have respective aspect ratios in the interval of 3 to 7. And wherein, in the case of three winglets, the first winglet, the second winglet and the third winglet have respective aspect ratios in the range of 4 to 9.   如前述請求項中任一項之機翼,其中,對於只有兩個小翼之情況,該第一小翼之根部翼弦長度cr1係在分裂成此機翼的該等小翼之處的主機翼翼弦長度之25%至45%的區間內,以及,該第二小翼之根部翼弦長度cr2係在分裂成此機翼的該等小翼之處的主機翼翼弦長度之40%至60%的區間內,對於三個小翼之情況,該第一小翼之根部翼弦長度cr1係在分裂成此機翼的該等小翼之處的主機翼翼弦長度之15%至35%的區間 內,該第二小翼之根部翼弦長度cr2係在分裂成此機翼的該等小翼之處的主機翼翼弦長度之25%至45%的區間內,以及,該第三小翼之根部翼弦長度cr3係在分裂成此機翼的該等小翼之處的主機翼翼弦長度之15%至35%的區間內,該等小翼的根部翼弦長度cr1、cr2、cr3係與該小翼的展向長度b1、b2、b3從該分裂處起向外的10%位置有關,以及,該主機翼翼弦長度係與該主機翼展向長度從該分裂處起向內的10%位置有關。  A wing according to any of the preceding claims, wherein, for the case of only two winglets, the root chord length cr1 of the first winglet is at the host where the winglets are split into the wing Within the range of 25% to 45% of the length of the chord, and the root chord length cr2 of the second winglet is 40% to 60 of the length of the main wing chord at the winglets split into the wing In the interval of %, for the case of three winglets, the root chord length cr1 of the first winglet is 15% to 35% of the length of the main wing chord of the winglets split into the winglets of the wing. Within the interval, the root chord length cr2 of the second winglet is within a range of 25% to 45% of the length of the main wing chord of the winglets split into the winglets of the wing, and the third winglet The root chord length cr3 is within the range of 15% to 35% of the length of the main wing chord of the winglets split into the winglets of the wing, the root chord lengths of the winglets cr1, cr2, cr3 Associated with the 10% position of the spanwise length b1, b2, b3 from the split, and the main wing chord length and the main wing span It is related to the 10% position in which the length is inward from the split.   如前述請求項中任一項之機翼,其中,在該各別的小翼之各別的尖端處,該第一小翼之尖端翼弦長度ct1及該第二小翼之尖端翼弦長度ct2及如果有的話之該第三小翼之尖端翼弦長度ct3,係在該各別的小翼的根部翼弦長度cr1、cr2、cr3之40%至100%的區間內,該等小翼之根部翼弦長度係與該各別的小翼之展向長度b1、b2、b3從該主機翼分裂成該等小翼起向外的10%位置有關,以及,該等小翼之尖端翼弦長度係與該各別的小翼之展向長度b1、b2、b3從該各別的小翼的尖端起向內的10%位置有關。  A wing according to any of the preceding claims, wherein at the respective tips of the respective winglets, the tip chord length ct1 of the first winglet and the tip chord length of the second winglet are Ct2 and, if any, the tip chord length ct3 of the third winglet, within the range of 40% to 100% of the root chord length cr1, cr2, cr3 of the respective winglet, such small The root chord length of the wing is related to the spanwise length b1, b2, b3 of the respective winglet being split from the main wing into 10% outward from the winglet, and the tip of the winglet The chord length is related to the 10% position inward of the lengths b1, b2, b3 of the respective winglets from the tips of the respective winglets.   一種飛機,特別是一種運輸類飛機,具有兩個彼此相對立的前述請求項中任一項之機翼。  An aircraft, in particular a transport aircraft, having two wings of any of the foregoing claims that are opposite each other.   一種升級部分之用途,其升級部分包括用於安裝至一機翼的至少兩個小翼,以便生產請求項1至13中任一項之機翼或請求項14之飛機。  An upgrade portion of the use, the upgrade portion comprising at least two winglets for mounting to a wing for producing the wing of any one of claims 1 to 13 or the aircraft of claim 14.  
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