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JP2024006713A - Energy saving device for vessel - Google Patents

Energy saving device for vessel Download PDF

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JP2024006713A
JP2024006713A JP2022107869A JP2022107869A JP2024006713A JP 2024006713 A JP2024006713 A JP 2024006713A JP 2022107869 A JP2022107869 A JP 2022107869A JP 2022107869 A JP2022107869 A JP 2022107869A JP 2024006713 A JP2024006713 A JP 2024006713A
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stern
additional member
ship
vessel
energy saving
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JP7225462B1 (en
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翌維 曾
Yiwei Zeng
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    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
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    • Y02T70/10Measures concerning design or construction of watercraft hulls

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Abstract

To provide an energy saving device for a vessel with easy execution to the vessel as well as being capable of markedly reducing wave resistance.SOLUTION: An energy saving device for a vessel includes an additional member installed to a stern part of a drainage volume type vessel with sea speed of FN (Froude number) 0.13 to 0.5, the additional member closely abuts on the stern part and is distributed over substantially the entire width at a stern end of the vessel. The additional member is formed extending from a portion closely abutting on the stern part and a lower part of the additional member shows a horizontal surface. The horizontal surface is positioned above a full load designed draft surface and is at a distance of maximum 1.5%Lpp (length between perpendiculars) from the full load designed draft surface.SELECTED DRAWING: Figure 1

Description

本発明は、船舶への抵抗を低減させエネルギーを節約する船舶用省エネ装置に関する。 TECHNICAL FIELD The present invention relates to an energy saving device for ships that reduces resistance to ships and saves energy.

船舶による海上輸送はグローバルな経済活動を行う上で欠かせないものだが、世界的な海運需要の増加に伴い、船舶を航行するためのエネルギー需要も看過できなくなった。そのため、いかに船舶のエネルギー消費量を削減するかが長年の課題であり、船体抵抗の低減に着目し、省エネ効果を得る発明がすでに開示されている(例えば、特許文献1を参照)。 Maritime transportation by ships is essential for conducting global economic activities, but as global demand for shipping increases, the energy demand for navigating ships can no longer be overlooked. Therefore, how to reduce the energy consumption of ships has been a long-standing issue, and inventions that focus on reducing ship resistance and achieve energy-saving effects have already been disclosed (see, for example, Patent Document 1).

船舶航行時、船体周辺に生じる波は船体抵抗の主要因の1つで、造波抵抗とも呼ばれる。船尾波は船速の上昇に伴い顕著に増大するが、同時に造波抵抗も増大し、船舶の航行を妨げ、船舶の航行により多くのエネルギーが必要となる。現在よく見られる解決手段としては、特許文献1のように船尾に付属物を装着する方法、又は船体に特殊な形状を設けて船体周辺の波の流れを良くする方法が挙げられる。 When a ship is sailing, waves generated around the ship's hull are one of the main causes of ship resistance, and are also called wave-making resistance. Stern waves increase significantly as the ship's speed increases, but at the same time, wave resistance also increases, impeding the navigation of the ship and requiring more energy for the ship's navigation. Currently common solutions include a method of attaching an appendage to the stern as in Patent Document 1, or a method of providing a special shape to the hull to improve the flow of waves around the hull.

特開昭55-83677号公報Japanese Unexamined Patent Publication No. 55-83677

しかし、特許文献1のような船尾に装着する付属物を一般商船(航海速力がフルード数0.2~0.4の排水量型船舶)に応用した場合、前記付属物が基本的に喫水線の下に位置するため、比較的低速で航行すると、前記付属物を装着することで増加した摩擦抵抗が減少させた造波抵抗よりも大きくなる。したがって、付属物を船尾に装着することで得られる効果は、高速船に応用した場合ほど好ましくない。一方、船体に特殊な形状を設ける方法については、形状が複雑なため実現が困難、造波抵抗を低減させる効果が不十分、既存船舶への実施が容易でないなどの課題が存在する。 However, when the attachment attached to the stern as in Patent Document 1 is applied to a general merchant ship (displacement type ship with a Froude number of 0.2 to 0.4), the attachment is basically below the waterline. Therefore, when sailing at a relatively low speed, the frictional resistance increased by installing the appendage becomes greater than the reduced wave-making resistance. Therefore, the effect obtained by attaching the appendage to the stern is not as favorable as when applied to a high-speed boat. On the other hand, there are problems with methods of providing a special shape to a ship's hull, such as it is difficult to realize because the shape is complex, the effect of reducing wave resistance is insufficient, and it is not easy to implement on existing ships.

本発明の目的は、前記先行技術の課題を鑑み、船舶への実施が容易且つ造波抵抗を顕著に低減できる船舶用省エネ装置を提供することである。 SUMMARY OF THE INVENTION In view of the problems of the prior art described above, an object of the present invention is to provide an energy saving device for a ship that is easy to implement on a ship and can significantly reduce wave-making resistance.

本発明の船舶用省エネ装置は、航海速力がFN(フルード数)0.13~0.5の排水量型船舶の船尾部に設置する付加部材を備え、前記付加部材は前記船尾部に密接に当接し、且つ前記船舶の船尾端のほぼ全幅にわたって分布され、前記付加部材は前記船尾部に密接に当接する箇所から延伸形成され、且つ前記付加部材の下方は水平面を呈し、前記水平面は満載計画喫水線面の上に位置し、前記満載計画喫水線から最大1.5%Lpp(垂線間長さ)の距離にあることを特徴とする。 The energy saving device for a ship of the present invention includes an additional member installed at the stern of a displacement type ship with a cruising speed of FN (Froude number) 0.13 to 0.5, and the additional member is in close contact with the stern. and is distributed over almost the entire width of the stern end of the vessel, the additional member extends from a point that closely abuts the stern, and the lower part of the additional member presents a horizontal plane, and the horizontal plane is at the full load waterline. It is characterized by being located above the plane and at a distance of at most 1.5% Lpp (length between perpendiculars) from the full load design waterline.

本発明の船舶用省エネ装置によれば、本発明の付加部材は満載計画喫水線面上に設置されるため、船舶の形状抵抗をさらに増加させることなく、造波抵抗を低減できる。また、本発明は付加部材を装着することで造波抵抗を低減し、省エネ効果を得るものであり、船体形状を設計することに比べて実施しやすくで、任意な形状の船舶においても造波抵抗を低減する点でプラスの効果をもたらす。 According to the energy saving device for a ship of the present invention, since the additional member of the present invention is installed on the fully loaded planned waterline plane, wave-making resistance can be reduced without further increasing the shape resistance of the ship. In addition, the present invention reduces wave-making resistance by attaching additional members and obtains an energy-saving effect, and is easier to implement than designing the hull shape, and can be used for wave-making on ships of arbitrary shapes. It has a positive effect in reducing resistance.

本発明の実施形態の側面図である。FIG. 2 is a side view of an embodiment of the invention. 本発明の実施形態の斜視図である。FIG. 1 is a perspective view of an embodiment of the invention. 本発明の変形例の側面図である。It is a side view of the modification of this invention. 本発明の変形例の斜視図である。It is a perspective view of the modification of this invention. 周知のトランサムスターン型船舶の船尾部を示したものである。This figure shows the stern of a well-known transom stern type vessel. 本発明の実施形態と比較例の航行時における全抵抗曲線図である。It is a total resistance curve diagram during navigation of an embodiment of the present invention and a comparative example.

以下、本発明の実施形態について、図面を参照しながら説明を行う。 Embodiments of the present invention will be described below with reference to the drawings.

図1は、本発明の実施形態の側面図である。図1に示すように、実施形態の船舶用省エネ装置1は付加部材10を船舶の船尾部2に装着することにより構成されている。実施形態の船舶用省エネ装置1は、付加部材10が船尾部2に密接に当接し、且つ船舶の船尾端2aのほぼ全幅に亘るよう構成されている。付加部材10は、船尾部2に密接に当接する箇所から船舶の外側に向かって延伸形成し、且つ付加部材10の下方は水平面11を呈している。水平面11の位置は満載計画喫水線WL面の上に位置し、満載計画喫水線WLとほぼ同じ高さ又は満載計画喫水線WLの位置から最大1.5%Lpp(垂線間長さ)の距離にある。 FIG. 1 is a side view of an embodiment of the invention. As shown in FIG. 1, the marine energy saving device 1 of the embodiment is constructed by attaching an additional member 10 to the stern portion 2 of the marine vessel. The marine energy saving device 1 of the embodiment is configured such that the additional member 10 closely contacts the stern portion 2 and spans almost the entire width of the stern end 2a of the marine vessel. The additional member 10 is formed to extend toward the outside of the vessel from a location where it closely contacts the stern portion 2, and a horizontal surface 11 is formed below the additional member 10. The position of the horizontal plane 11 is located above the fully loaded planned waterline WL, and is approximately at the same height as the fully loaded planned waterline WL, or at a maximum distance of 1.5% Lpp (length between perpendiculars) from the fully loaded planned waterline WL.

付加部材10の水平面11の延伸長さ範囲Lは、図1に示す通りの範囲であってもよく、また、図2に示すように、船舶の船型及びその満載計画喫水線WLに応じて、付加部材10の設置位置や設置形式が異なるため、付加部材10の水平面11は必ずしも船尾端の下端の位置に合わせなくてもよい。したがって、水平面11の延伸長さ範囲Lは、水平面11で船首に最も近い密接点から船舶から最も遠い水平面11の端点までとすることができ、その範囲は3%Lpp≦L≦20%Lppの距離が好ましい。 The extended length range L of the horizontal surface 11 of the additional member 10 may be as shown in FIG. 1, and as shown in FIG. Since the installation position and installation format of the member 10 are different, the horizontal surface 11 of the additional member 10 does not necessarily have to be aligned with the position of the lower end of the stern end. Therefore, the extended length range L of the horizontal surface 11 can be set from the closest point on the horizontal surface 11 to the bow of the ship to the end point of the horizontal surface 11 furthest from the ship, and the range is 3%Lpp≦L≦20%Lpp. Distance is preferred.

図2は、実施形態の斜視図である。図2に示すように、付加部材10は船舶の船殻曲面に合わせて密接に当接し、付加部材10は船尾端2aのほぼ全幅に亘るよう構成され、船尾部2とほぼ同じ幅となっている。しかし本発明の態様はこれに限らず、付加部材10は前記船舶の船尾端2aにおいて船舶の幅方向に設けられ、船尾部2の幅に対する付加部材10の幅は、船尾部2の幅3分の1から全幅までとすることができる。また、図1及び図2では、船尾部2への固定を強固にし、船尾波を完全に抑制するため、付加部材10と船舶の船殻曲面の境界部が船体両側へ延伸する様子が示されている。付加部材10が船体に密接する部分の形状や長さは、船体の曲面形状や付加部材10の大きさにより適宜設定されるため、本発明における船舶へ固定される態様は図面に示す例に制限されるものではない。当業者であればわかるように、本発明の実施において、水平面11を設け、造波抵抗を低減させる効果が得られるものであれば、様々な変更を行うことができ、図面及び実施形態の示す数値が唯一の制限条件ではない。 FIG. 2 is a perspective view of the embodiment. As shown in FIG. 2, the additional member 10 closely contacts the curved surface of the ship's hull, and the additional member 10 is configured to span almost the entire width of the stern end 2a, and has approximately the same width as the stern section 2. There is. However, the aspect of the present invention is not limited to this, and the additional member 10 is provided in the width direction of the ship at the stern end 2a of the ship, and the width of the additional member 10 with respect to the width of the stern part 2 is three times the width of the stern part 2. 1 to the full width. Furthermore, in FIGS. 1 and 2, the boundary between the additional member 10 and the curved hull surface of the ship extends to both sides of the ship in order to strengthen the fixation to the stern part 2 and completely suppress stern waves. ing. The shape and length of the portion of the additional member 10 that comes into close contact with the hull are appropriately set depending on the curved shape of the hull and the size of the additional member 10, so the manner in which the additional member 10 is fixed to the ship in the present invention is limited to the example shown in the drawings. It is not something that will be done. As will be understood by those skilled in the art, in carrying out the present invention, various changes can be made as long as the horizontal surface 11 is provided and the effect of reducing wave-making resistance can be achieved. Numbers are not the only limiting condition.

本発明の実施形態は一般商船に適用され、また一般商船は通常、航海速力がフルード数0.2~0.4の排水量型船舶と定義されている。しかしフルード数を基準とした場合、本発明の実施形態を応用できる船舶の上下限はこれに制限されない。具体的には、本発明の実施形態はフルード数が0.13~0.5の船舶に適用することができる。 Embodiments of the present invention are applied to general merchant ships, and general merchant ships are generally defined as displacement ships with a Froude number of 0.2 to 0.4. However, when the Froude number is used as a standard, the upper and lower limits of ships to which the embodiments of the present invention can be applied are not limited thereto. Specifically, embodiments of the present invention can be applied to ships with a Froude number of 0.13 to 0.5.

また、付加部材10は、付加部材10の水平面11が満載計画喫水線WLより上に位置するよう設置されている。図1、2の実施形態では、水平面11が船尾端2aの下端点の位置に合わせるよう設置されているが、水平面11が満載計画喫水線WLより上に設置されていれば、これに限定されない。具体的に、図3及び図4を参照しながら説明する。図3は本発明の変形例の側面図であり、本変形例の構成は基本的に実施形態と同様の構成である。本変形例では、船尾端2aの下端が満載計画喫水線WLの下に位置しているため、付加部材10は、水平面11を船尾端2aの下端から設計満載喫水線WLの上の位置まで上に移動させるよう、設置されている。つまり、付加部材10の設置位置は、装着する船舶の満載計画喫水線WLに合わせ適宜設定される。 Further, the additional member 10 is installed such that the horizontal surface 11 of the additional member 10 is located above the full load design waterline WL. In the embodiments of FIGS. 1 and 2, the horizontal surface 11 is installed to match the position of the lower end point of the stern end 2a, but the invention is not limited to this as long as the horizontal surface 11 is installed above the planned full load waterline WL. This will be specifically explained with reference to FIGS. 3 and 4. FIG. 3 is a side view of a modified example of the present invention, and the configuration of this modified example is basically the same as that of the embodiment. In this modification, since the lower end of the stern end 2a is located below the designed load waterline WL, the additional member 10 moves the horizontal surface 11 upward from the lower end of the stern end 2a to a position above the designed load waterline WL. It is set up so that That is, the installation position of the additional member 10 is appropriately set in accordance with the full load design waterline WL of the ship to which it is installed.

[コンピュータを用いた数値波動水槽の分析及び検証]
以下、コンピュータを用いた数値波動水槽の分析及び検証によって、本実施形態について、その抵抗低減効果を一般的な船舶及び先行技術と比較する。前記数値波動水槽は熱流体解析(CFD)ソフトウェアにより構築されたものである。図6は、実施形態と比較例の航行時における全抵抗曲線図である。図6において、比較例1は船尾に付属物を装着していない周知の船舶(例えば、図5に示すような船舶)を表し、比較例2は特許文献1のような付属物の少なくとも一部が満載計画喫水線WLより下に位置する先行技術を表している。
[Analysis and verification of numerical wave tank using computer]
Hereinafter, by analyzing and verifying a numerical wave tank using a computer, the resistance reduction effect of this embodiment will be compared with that of a general ship and the prior art. The numerical wave water tank was constructed using thermal fluid analysis (CFD) software. FIG. 6 is a total resistance curve diagram during navigation of the embodiment and the comparative example. In FIG. 6, Comparative Example 1 represents a well-known ship (for example, a ship as shown in FIG. 5) that is not equipped with an appendage on the stern, and Comparative Example 2 represents at least part of the appendage as in Patent Document 1. represents the prior art located below the full load design waterline WL.

図6に示すように、本発明の実施形態は船速に関係なく、その全抵抗は付属物を装着していない比較例1及び付属物が喫水線の下に位置する比較例2より小さくなっている。 As shown in FIG. 6, the total resistance of the embodiment of the present invention is smaller than that of Comparative Example 1 with no appendages and Comparative Example 2 with the appendages located below the waterline, regardless of the ship speed. There is.

また、比較例2のような付属物が喫水線の下に位置する先行技術の場合、造波抵抗はある程度低減できるものの、付属物が喫水線の下になければ作用しないため、前記付属物による形状抵抗が生じる。比較例2は高速航行時、抵抗低減のプラス効果がマイナスよりも大きくなるため、正味の抵抗低減効果を有するが、低速では造波抵抗の割合が減少し、マイナス効果がプラスより大きくなるため、かえって全抵抗が増加する。すなわち、比較例2などの周知構造において抵抗低減効果が得られるのは高速の場合に限られ、低速ではむしろ逆効果となるほか、実際の船舶航行時は常に高速状態ではないため、その全体的な効果は大幅に減少する。図6から明らかなように、低速区域において比較例2の全抵抗が比較例1より大きくなっているが、一方で実施形態は低速区域でも依然として抵抗低減効果を備えており、このことから本発明装置の全体的な抵抗低減効果がより優れたものであることが分かる。 In addition, in the case of the prior art in which the appendage is located below the waterline, as in Comparative Example 2, although the wave-making resistance can be reduced to some extent, it does not work unless the appendage is below the waterline, so the shape resistance due to the appendage is occurs. Comparative Example 2 has a net resistance reduction effect because the positive effect of drag reduction is greater than the negative effect when sailing at high speed, but at low speed the proportion of wave-making resistance decreases and the negative effect becomes greater than the positive effect. On the contrary, the total resistance increases. In other words, in the well-known structure such as Comparative Example 2, the drag reduction effect can only be obtained at high speeds, and it has the opposite effect at low speeds.In addition, the actual ship is not always in a high-speed state when sailing, so its overall effect will be significantly reduced. As is clear from FIG. 6, the total resistance of Comparative Example 2 is larger than that of Comparative Example 1 in the low-speed region, but on the other hand, the embodiment still has a resistance reduction effect even in the low-speed region. It can be seen that the overall resistance reduction effect of the device is better.

本発明の装置は船体後部を離れた波頭を抑制するもので、その作用メカニズムは船尾波から始まり、波の位置エネルギーを圧力エネルギーに変換し、船尾部に逆方向へ作用させて圧力回収効果を生み、抵抗を低減する。本発明はプラスの圧力回収のみを有し、マイナスの形状抵抗の増加はない。本発明は高速時に生じる抵抗低減効果が比較的優れているほか、低速又は喫水がやや低い低負荷状態において、小波が本発明装置と非接触又は略接触であるため、本発明装置は低速時にさらなる形状抗力を生じない。したがって、本発明は全ての船速域でプラス効果をもたらすほか、全体的な抵抗低減効果、実用性、省エネ効果に優れている。 The device of the present invention suppresses the wave crest leaving the rear of the ship, and its action mechanism starts from the stern wave, converts the potential energy of the wave into pressure energy, and applies it to the stern in the opposite direction to produce a pressure recovery effect. to reduce resistance. The present invention has only positive pressure recovery and no negative form resistance increase. The present invention has a relatively excellent drag reduction effect at high speeds, and at low speeds or low-load conditions with a slightly low draft, the small waves are non-contact or nearly in contact with the device of the present invention. Does not cause shape drag. Therefore, the present invention not only provides positive effects in all ship speed ranges, but also has excellent overall drag reduction effects, practicality, and energy saving effects.

また、船体に特殊な形状を施す場合と比較すると、通常造船の技術分野では、船体形状により船体が受ける形状抵抗を低減しようとした場合、その形状が船尾部の圧力回復値を高めてしまう。船尾部の圧力が高いと、船尾造波から形成される抵抗が増加し、エネルギーの浪費に繋がる。船体形状の設計では、形状抵抗と造波抵抗が対立関係にあるため、設計上両者の間で妥協点を見つけるほかない。 Additionally, compared to cases in which a special shape is applied to a ship's hull, in the technical field of shipbuilding, when an attempt is made to reduce the shape resistance that the ship receives due to the shape of the ship, the shape ends up increasing the pressure recovery value at the stern. High pressure at the stern increases the resistance formed from the stern waves, leading to wasted energy. When designing a hull shape, shape resistance and wave-making resistance are in a conflicting relationship, so we have no choice but to find a compromise between the two.

本発明の装置により、船体形状の設計は造波抵抗が増加してしまう問題を考慮せずに、形状抵抗を低減する目的を最大限達成することができる。本発明の装置により船尾部の圧力が高いために起こる船尾波の上昇を抑制し、圧力回収へ変換し、造波抵抗を低減する。よって、本発明の船舶用省エネ装置を使用した船舶形状の設計は、抵抗低減効果を最大限発揮するほか、全抵抗を低減することが可能である。 With the device of the present invention, the design of the hull shape can achieve the purpose of reducing shape resistance to the maximum extent without considering the problem of increased wave-forming resistance. The device of the present invention suppresses the rise of stern waves caused by high pressure at the stern, converts it into pressure recovery, and reduces wave-making resistance. Therefore, by designing a ship shape using the ship energy saving device of the present invention, it is possible to not only maximize the resistance reduction effect but also to reduce the total resistance.

また、本発明は喫水線より上に位置するため、喫水が浅い船舶にも本発明装置の設置施工ができるほか、船舶を入渠させる必要がないため、施工時間も短縮することができる。このように設置の難易度やコストが大幅に下がることで、実施しやすくなる。 Further, since the present invention is located above the waterline, the present invention device can be installed even on ships with shallow drafts, and since there is no need to dock the ship, construction time can also be shortened. This greatly reduces the difficulty and cost of installation, making it easier to implement.

1:船舶用省エネ装置
2:船尾部
2a:船尾端
10:付加部材
11:水平面
WL:喫水線
1: Energy saving device for ships 2: Stern section 2a: Stern end 10: Additional member 11: Horizontal surface WL: Water line

Claims (3)

航海速力がFN(フルード数)0.13~0.7の排水量型船舶の船尾部に設置する付加部材を備え、
前記付加部材は前記船尾部に密接に当接し、前記船舶の船尾端に設置され、
前記付加部材は前記船尾部に密接に当接する箇所から延伸形成し、且つ前記付加部材の下方が水平面を呈し、
前記水平面の位置は満載計画喫水線面の上に位置し、前記満載計画喫水線の位置から最大1.5%Lpp(垂線間長さ)の距離にあることを特徴とする、
船舶用省エネ装置。
Equipped with an additional member installed at the stern of a displacement type ship with a sailing speed of FN (Froude number) 0.13 to 0.7,
the additional member closely abuts the stern and is installed at the stern end of the vessel;
The additional member is formed to extend from a portion that closely contacts the stern portion, and a lower portion of the additional member has a horizontal surface;
The position of the horizontal plane is located above the fully loaded planned waterline plane, and is located at a distance of at most 1.5% Lpp (length between perpendiculars) from the fully loaded planned waterline position,
Energy saving device for ships.
前記付加部材は前記船舶の船尾端において船舶の幅方向にわたって形成され、
前記船尾部の幅に対する付加部材の幅は船尾部の幅3分の1から全幅である、
請求項1に記載の船舶用省エネ装置。
The additional member is formed at the stern end of the ship across the width direction of the ship,
The width of the additional member relative to the width of the stern section is from one third of the width of the stern section to the full width.
The marine energy saving device according to claim 1.
前記付加部材において、前記水平面で船首に最も近い密接点から前記船舶から最も遠い前記水平面の端点までの前記水平面の延伸長さ範囲Lが、3%Lpp≦L≦20%Lppである、
請求項1に記載の船舶用省エネ装置。
In the additional member, an extended length range L of the horizontal plane from a close point closest to the bow of the horizontal plane to an end point of the horizontal plane farthest from the ship satisfies 3%Lpp≦L≦20%Lpp.
The marine energy saving device according to claim 1.
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH04119293U (en) * 1991-04-02 1992-10-26 石川島播磨重工業株式会社 small high speed boat
US5224436A (en) * 1991-10-03 1993-07-06 Stricker John G Multifunction hydrodynamic and buoyant hull extension for planing water craft
JP2002154475A (en) * 2000-11-22 2002-05-28 Kawasaki Heavy Ind Ltd Transom stern type stern shape and its wave making resistance reducing method
JP2012116401A (en) * 2010-12-02 2012-06-21 Mitsubishi Heavy Ind Ltd Ship

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH04119293U (en) * 1991-04-02 1992-10-26 石川島播磨重工業株式会社 small high speed boat
US5224436A (en) * 1991-10-03 1993-07-06 Stricker John G Multifunction hydrodynamic and buoyant hull extension for planing water craft
JP2002154475A (en) * 2000-11-22 2002-05-28 Kawasaki Heavy Ind Ltd Transom stern type stern shape and its wave making resistance reducing method
JP2012116401A (en) * 2010-12-02 2012-06-21 Mitsubishi Heavy Ind Ltd Ship

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