CN105545798B - A kind of design method of hydraulic jet propulsion impeller of pump - Google Patents
A kind of design method of hydraulic jet propulsion impeller of pump Download PDFInfo
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- CN105545798B CN105545798B CN201510915637.8A CN201510915637A CN105545798B CN 105545798 B CN105545798 B CN 105545798B CN 201510915637 A CN201510915637 A CN 201510915637A CN 105545798 B CN105545798 B CN 105545798B
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D29/00—Details, component parts, or accessories
- F04D29/18—Rotors
- F04D29/22—Rotors specially for centrifugal pumps
- F04D29/2205—Conventional flow pattern
- F04D29/2216—Shape, geometry
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D29/00—Details, component parts, or accessories
- F04D29/18—Rotors
- F04D29/22—Rotors specially for centrifugal pumps
- F04D29/24—Vanes
- F04D29/242—Geometry, shape
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- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Structures Of Non-Positive Displacement Pumps (AREA)
Abstract
The invention discloses a kind of design method of hydraulic jet propulsion impeller of pump, impeller uses shaft flow structure, and impeller uses the Hydraulic Design Method of streamline method, and step is：Determine the design object parameter of impeller；Calculate and locate inflow angle β in leafc1, inflow angle β at blade rooth1, angle of outlet β at leaf topo2, locate angle of outlet β in leafc2, angle of outlet β at blade rooth2；Draw the molded lines of blade at the molded lines and blade root of locating blade at leaf top in the molded lines of blade, leaf；Draw the graphics of individual blade；Draw the graphics of wheel hub；The graphics of individual blade is merged with the graphics of wheel hub according to spatial correspondence, obtains the impeller graphics of single blade；The other blades of completion on the impeller graphics of single blade, obtain complete impeller graphics, and design is completed.Suitable for the design of hydraulic jet propulsion impeller of pump.
Description
Technical field
The invention belongs to ship domain, more particularly to a kind of design method of hydraulic jet propulsion impeller of pump.
Background technology
At present, water jet propulsion pump belongs to novel ship propulsion plant --- the core component of hydraulic propeller, hydraulic jet propulsion
The technical characterstic of device is：Reaction force promotes ship to advance caused by the current sprayed using water jet propulsion pump, has and is permitted
The advantages of less than more conventional propellers, for example, when the speed of a ship or plane is higher than 25 section, the propulsive efficiency of hydraulic propeller is up to more than 60%；
The impeller of hydraulic propeller works in pump case, is not likely to produce cavitation phenomenon, and caused exciting force is small, stable working, noise be low,
Anti-cavitation ability is strong；The power of hydraulic propeller-speed of a ship or plane plateau, in the case of ship operating mode is changeable, it can make full use of
Main engine power, adaptation variable working condition ability is strong, main frame is not susceptible to overload phenomenon；It is not required to using the manipulation of the ships and light boats of hydraulic propeller
Change engine speed, rely primarily on deviation water jet propulsion pump and eject high-velocity flow to realize the steering of ship and fall to navigate, manipulate
Property and dynamic positioning excellent performance；Hydraulic jet propulsion pump blade is preferably protected in the duct, is hardly damaged, good reliability；
In addition, hydraulic propeller also has the characteristics that shallow water effect is small, the resistance of appendage is small, main frame need not invert.
Above-mentioned water jet propulsion pump is typically made up of impeller, stator nozzle and outlet nozzle, wherein, the structural shape master of impeller
There are three kinds of shaft flow structure, mixed-flow structure and centrifugal structure, it is specific as follows：
1st, aial flow impeller, the Hydraulic Design Method of lift method is typically used using the impeller of the structure, this impeller should
For low speed of a ship or plane ship domain, efficiency is low during the high speed of a ship or plane, it is impossible to when meeting the high speed of a ship or plane (specific speed requirement reaches 400~500)
Design requirement；
2nd, mixed-flow impeller, the Hydraulic Design Method of streamline method is typically used using the impeller of the structure, it is applied to height
Speed of a ship or plane ship, belong to the mainstream configuration of hydraulic propeller, its specific speed is examined between 400~500 in terms of processing and installation
Consider, mixed-flow pump impeller due to blade tip clearance control it is very strict, so cause it is high to main shaft axial direction positioning requirements so that
It must process, install and later stage upkeep cost is high, and blade tip clearance position need to design special supervising device to be fed back, additionally
It is costly；
3rd, receded disk impeller is using less.
As can be seen here, need badly at present and develop a kind of design requirement when can meet the high speed of a ship or plane and the low hydraulic jet propulsion of expense
Impeller of pump.
The content of the invention
In order to solve design requirement when existing hydraulic jet propulsion impeller of pump can not meet the high speed of a ship or plane simultaneously and low cost requirements
The problem of, the embodiments of the invention provide a kind of design method of hydraulic jet propulsion impeller of pump.The technical scheme is as follows：
The embodiments of the invention provide a kind of design method of hydraulic jet propulsion impeller of pump, the impeller uses axial-flow type knot
Structure, the impeller use the Hydraulic Design Method of streamline method, as follows the step of the Hydraulic Design Method using streamline method：
Determine the design object parameter of the impeller：Flow Q (m3/ s), lift H (m), rotating speed n (rpm), mechanical efficiency ηm、
Volumetric efficiency ηV, general power P, boss shape and size, leaf head into stream angle betao1, width of blade b at leaf topo, to locate blade in leaf wide
Spend bc, width of blade b at blade rooth；
The diameter D of the impeller is determined according to the similar formula of flow, calculation formula is：
Wherein, Q unit is m3/ s, D unit are m, K=nD；
Determine the leaf jacking mouth peripheral speed U of the impellero1, calculation formula is：
Wherein, do1For the import leaf top diameter of the impeller, do1=D；
Determine the theoretical axial velocity C of the impellerm1, calculation formula is：
Determine import peripheral speed U in the leaf of the impellerc1, calculation formula is：
Wherein, dc1For diameter in the import leaf of the impeller, dc1=(do1+dh1)/2, dh1For the import leaf of the impeller
Root diameter, dh1=0.27*do1；
Determine to locate inflow angle β in the leaf of the impellerc1, calculation formula is：
Determine the blade root import peripheral speed U of the impellerh1, calculation formula is：
Determine inflow angle β at the blade root of the impellerh1, calculation formula is：
Determine the theoretical delivery Q of the impeller1, calculation formula is：
Determine axis plane velocity C at the leaf top of the impellerm2o；
Wherein, do2For the outlet leaf top diameter of the impeller, do2=D, dh2For the outlet blade root diameter of the impeller, dh2
=0.6*do2；
Determine the specific speed n of the impellers, calculation formula is：
Determine the gross efficiency η of water jet propulsion pumppump, calculation formula is：
Wherein, relative discharge Qref=1m3/s；
Determine the hydraulic efficiency η of the impellerh, calculation formula is：
Determine the leaf ejection mouth peripheral speed U of the impeller2o, calculation formula is：
Determine the leaf top circumference component C of the impelleru2o；
Determine angle of outlet β at the leaf top of the impellero2, calculation formula is：
Determine to locate angle of outlet β in the leaf of the impellerc2, calculation formula is：
Wherein, dc2For diameter in the outlet leaf of the impeller, dc2=(do2+dh2)/2；
Determine angle of outlet β at the blade root of the impellerh2, calculation formula is：
According to width of blade b at the boss shape, the leaf topo, locate width of blade b in the leafc, at the blade root
Width of blade bh, the import leaf top diameter do1, diameter d in the import leafc1, the import blade root diameter dh1, the outlet
Leaf top diameter do2, it is described outlet leaf in diameter dc2, the outlet blade root diameter dh2, leaf top prescription trrellis diagram, Ye Zhongchu are drawn respectively
Grid figure and blade root prescription trrellis diagram；
Stream angle beta is headed into according to the leafo1, locate inflow angle β in the leafc1, inflow angle β at the blade rooth1, the leaf top
Locate angle of outlet βo2, locate angle of outlet β in the leafc2, angle of outlet β at the blade rooth2And width of blade b at the leaf topo, institute
State and locate width of blade b in leafc, width of blade b at the blade rooth, prescription lattice in the leaf top prescription trrellis diagram, the leaf respectively
Working face molded line is drawn on figure and the blade root prescription trrellis diagram, it is corresponding to obtain working face molded lines, the Ye Zhongchu of blade at leaf top
The working face molded lines of blade at the working face molded lines of blade and blade root；
According to number of blade Z and specific speed nsRelation, determine the number of blade Z of the impeller；
According to rotating speed n, number of blade Z, impeller diameter D and general power P, maximum gauge Tmax at blade root is determined；
According to maximum gauge Tmax at blade root, locate in the working face molded lines of blade, the leaf at the leaf top
Draw the back side molded line of blade at the working face molded lines of blade and the blade root on the working face molded lines of blade respectively, it is corresponding
Obtain in the two-sided molded lines of blade, leaf locating at leaf top the two-sided molded lines of blade at the two-sided molded lines and blade root of blade；
By leaf at the two-sided molded lines and the blade root of locating blade in the two-sided molded lines of blade, the leaf at the leaf top
The two-sided molded lines of piece makees circular arc processing at respective blade inlet edge and trailing edge respectively, corresponding to obtain the molded line of blade at leaf top
Locate the molded lines of blade at the molded lines and blade root of blade in figure, leaf；
According to the type of blade at the molded lines and the blade root of locating blade in the molded lines of blade, the leaf at the leaf top
Line chart, draw the graphics of individual blade；
According to the boss shape and size, using method is rotated about the axis, the graphics of wheel hub is obtained；
The graphics of the individual blade is merged with the graphics of the wheel hub according to spatial correspondence, obtains single leaf
The impeller graphics of piece；
The other blades of completion on the impeller graphics of the single blade, so as to obtain complete impeller graphics, design
Complete.
The impeller 1 of shaft flow structure is designed by using the Hydraulic Design Method of streamline method, so, obtained impeller 1 was both
Have the characteristics that easy processing, the easy to install and later stage upkeep cost of aial flow impeller are low, while there is the ratio of mixed-flow impeller again
The characteristics of rotating speed is high, so as to improve the scope of application of impeller.
In such scheme, the diameter D of the determination impeller is specially：When calculating for the first time given K 600~
Some initial value K between 700, initial diameter D is then determined according to initial value K, then K is recalculated by the rotating speed n and substituted into
Formula is iterated calculating, finally determines the final diameter D of the impeller.
It is described according to width of blade b at the boss shape, the leaf top in such schemeo, locate blade in the leaf
Width bc, width of blade b at the blade rooth, the import leaf top diameter do1, diameter d in the import leafc1, the import leaf
Root diameter dh1, the outlet leaf top diameter do2, it is described outlet leaf in diameter dc2, the outlet blade root diameter dh2, leaf is drawn respectively
Prescription trrellis diagram and blade root prescription trrellis diagram are specially in top prescription trrellis diagram, leaf：It is wide according to blade at the boss shape, the leaf top
Spend bo, locate width of blade b in the leafc, width of blade b at the blade rooth, the import leaf top diameter do1, in the import leaf
Diameter dc1, the import blade root diameter dh1, the outlet leaf top diameter do2, it is described outlet leaf in diameter dc2, the outlet blade root
Diameter dh2, prescription trrellis diagram and blade root prescription trrellis diagram in leaf top prescription trrellis diagram, leaf are drawn using grid conformal mapping method respectively.
It is described respectively in the leaf top prescription trrellis diagram, the leaf at prescription trrellis diagram and the blade root in such scheme
Working face molded line is drawn on grid figure is specially：Stream angle beta is headed into according to the leafo1, locate inflow angle β in the leafc1, the leaf
Inflow angle β at rooth1, angle of outlet β at the leaf topo2, locate angle of outlet β in the leafc2, angle of outlet β at the blade rooth2, Yi Jisuo
State width of blade b at leaf topo, locate width of blade b in the leafc, width of blade b at the blade rooth, it is smooth using single arc method
Transition Design method, drawn respectively in the leaf top prescription trrellis diagram, the leaf in prescription trrellis diagram and the blade root prescription trrellis diagram
Working face molded line.
In such scheme, the number of blade Z and specific speed nsRelation it is as follows：
| ns | 500 | 600 | 700 | 850 | 1000 | 1250 | 1500 |
| Z | 5 | 5 | 4 | 4 | 3 | 3 | 3 |
As shown above, n is worked assWhen=500, Z=5, work as nsWhen=600, Z=5, work as nsWhen=700, Z=4, work as ns=
When 850, Z=4, work as nsWhen=1000, Z=3, work as nsWhen=1250, Z=3, work as nsWhen=1500, Z=3；
Wherein, nsFor specific speed, Z is the number of blade.
In such scheme, maximum gauge Tmax is specially at the determination blade root：According to rotating speed n, number of blade Z,
Impeller diameter D and general power P, maximum gauge Tmax at blade root is determined using DNV classification societies high speed seagoing vessel design specification.
In such scheme, locate the work of blade in the working face molded lines of the blade at the leaf top, the leaf
The back side molded line for drawing blade at face molded lines and the blade root on the working face molded lines of blade respectively is specially：According to blade
Maximum gauge Tmax at blade root, using 791 profile thickness changing rules, the working face molded lines of blade, institute at the leaf top
State the back side for drawing blade at the working face molded lines and the blade root of locating blade in leaf on the working face molded lines of blade respectively
Molded line.
In such scheme, the rule of the circular arc processing is：Arc diameter is equal to 0.006D~0.008D, circular arc difference
It is tangent with working face molded line and back side molded line.
In such scheme, it is described according in the molded lines of blade, the leaf at the leaf top locate blade molded lines and
The molded lines of blade at the blade root, the graphics for drawing individual blade are specially：According to the molded lines of blade at the leaf top,
Locate the molded lines of blade at the molded lines and the blade root of blade in the leaf, drawn using grid conformal mapping method single
The graphics of blade.
In such scheme, the boss shape uses conical design.
The beneficial effect that technical scheme provided in an embodiment of the present invention is brought is：
The impeller of shaft flow structure is designed by using the Hydraulic Design Method of streamline method, so, obtained impeller both had
There is the features such as easy processing of aial flow impeller, easy to install and later stage upkeep cost is low, while the ratio with mixed-flow impeller turns again
The characteristics of speed is high, so as to improve the scope of application of impeller.
Brief description of the drawings
Technical scheme in order to illustrate the embodiments of the present invention more clearly, make required in being described below to embodiment
Accompanying drawing is briefly described, it should be apparent that, drawings in the following description are only some embodiments of the present invention, for
For those of ordinary skill in the art, on the premise of not paying creative work, other can also be obtained according to these accompanying drawings
Accompanying drawing.
Fig. 1 is the structural representation of impeller in the present embodiment；
Fig. 2 is the cross-sectional view of impeller in the present embodiment；
Fig. 3 is the molded lines of blade at the present embodiment middle period top；
Fig. 4 is the molded lines for locating blade in the present embodiment middle period；
Fig. 5 is the molded lines of blade at blade root in the present embodiment；
Fig. 6 is the semi-section dimensional drawing of wheel hub in the present embodiment.
Embodiment
To make the object, technical solutions and advantages of the present invention clearer, below in conjunction with accompanying drawing to embodiment party of the present invention
Formula is described in further detail.
Embodiment
A kind of design method of hydraulic jet propulsion impeller of pump provided in an embodiment of the present invention, the impeller 1 use axial-flow type knot
Structure, the impeller 1 using streamline method Hydraulic Design Method, it is as follows the step of the Hydraulic Design Method using streamline method：
Determine the design object parameter of the impeller 1：Flow Q=0.76m3/ s, lift H=35m, rotating speed n=
2000rpm, mechanical efficiency ηm=0.97, volumetric efficiency ηv=0.98, general power P=287kW, boss shape and size (including length
Spend L1=10mm, length L2=75.5mm, length L3=43.5mm, hub thickness Th=17.5mm, wheel hub inlet radius Rhi=
38mm, exit radius Rho=98.5mm, internal bore radius R1=25mm, internal bore radius R2=40mm, taper angle θ=17deg, cone
Degree angle γ=6deg, hub length Lh=200mm, referring to Fig. 6), leaf head into stream angle betao1=21 °, width of blade b at leaf topo=
Locate width of blade b in 0.1485m, leafcWidth of blade b at=0.16m, blade rooth=0.1716m；
The diameter D of the impeller 1 is determined according to the similar formula of flow, calculation formula is：
Wherein, Q unit is m3/ s, D unit are m, K=nD, specifically, when calculating for the first time given K 600~
Some initial value K between 700, initial diameter D is then determined according to initial value K, then K is recalculated by the rotating speed n and substituted into
Formula is iterated calculating, finally determines the final diameter D=0.33m of the impeller 1；
Determine the leaf jacking mouth peripheral speed U of the impeller 1o1, calculation formula is：
Wherein, do1For the import leaf top diameter of the impeller 1, do1=D；
Determine the theoretical axial velocity C of the impeller 1ml, calculation formula is：
Determine import peripheral speed U in the leaf of the impeller 1c1, calculation formula is：
Wherein, dc1For diameter in the import leaf of the impeller 1, dc1=(do1+dh1)/2=0.21m, dh1For the impeller 1
Import blade root diameter, dh1=0.27*do1=0.09m；
Determine to locate inflow angle β in the leaf of the impeller 1c1, calculation formula is：
Determine the blade root import peripheral speed U of the impeller 1h1, calculation formula is：
Determine inflow angle β at the blade root of the impeller 1h1, calculation formula is：
Determine the theoretical delivery Q of the impeller 11, calculation formula is：
Determine axis plane velocity C at the leaf top of the impeller 1m2o；
Wherein, do2For the outlet leaf top diameter of the impeller 1, do2=D=0.33m, dh2For the outlet leaf of the impeller 1
Root diameter, dh2=0.6*do2=0.2m；
Determine the specific speed n of the impeller 1s, calculation formula is：
Determine the gross efficiency η of water jet propulsion pumppump, calculation formula is：
Wherein, relative discharge Qref=1m3/s；
Determine the hydraulic efficiency η of the impeller 1h, calculation formula is：
Determine the leaf ejection mouth peripheral speed U of the impeller 12o, calculation formula is：
Determine the leaf top circumference component C of the impeller 1u2o；
Determine angle of outlet β at the leaf top of the impeller 1o2, calculation formula is：
Determine to locate angle of outlet β in the leaf of the impeller 1c2, calculation formula is：
Wherein, dc2For diameter in the outlet leaf of the impeller 1, dc2=(do2+dh2)/2=0.26m；
Determine angle of outlet β at the blade root of the impeller 1h2, calculation formula is：
As shown in Fig. 3, Fig. 4 and Fig. 5, according to width of blade b at the boss shape, the leaf topo, locate leaf in the leaf
Piece width bc, width of blade b at the blade rooth, the import leaf top diameter do1, diameter d in the import leafc1, the import
Blade root diameter dh1, the outlet leaf top diameter do2, it is described outlet leaf in diameter dc2, the outlet blade root diameter dh2, using grid
Net conformal mapping method draws prescription trrellis diagram and blade root prescription trrellis diagram in leaf top prescription trrellis diagram, leaf respectively, and the grid conformal becomes
The method of changing comes from《Pump design manual》；
Stream angle beta is headed into according to the leafo1, locate inflow angle β in the leafc1, inflow angle β at the blade rooth1, the leaf top
Locate angle of outlet βo2, locate angle of outlet β in the leafc2, angle of outlet β at the blade rooth2And width of blade b at the leaf topo, institute
State and locate width of blade b in leafc, width of blade b at the blade rooth, smoothly transitted design method using single arc method, respectively in institute
State in leaf top prescription trrellis diagram, the leaf and draw working face molded line in prescription trrellis diagram and the blade root prescription trrellis diagram, it is corresponding to obtain leaf
Locate the working face molded lines (ginseng of blade at the working face molded lines and blade root of blade at top in the working face molded lines of blade, leaf
See Fig. 3, Fig. 4 and Fig. 5), single arc method design method that smoothly transits comes from《Pump design manual》；
According to number of blade Z and specific speed nsRelation, determine the number of blade Z=5 of the impeller 1, specifically, the blade
Number Z and specific speed nsRelation it is as follows：
| ns | 500 | 600 | 700 | 850 | 1000 | 1250 | 1500 |
| Z | 5 | 5 | 4 | 4 | 3 | 3 | 3 |
As shown above, n is worked assWhen=500, Z=5, work as nsWhen=600, Z=5, work as nsWhen=700, Z=4, work as ns=
When 850, Z=4, work as nsWhen=1000, Z=3, work as nsWhen=1250, Z=3, work as nsWhen=1500, Z=3；
Wherein, nsFor specific speed, Z is the number of blade, and the table is selected from《Pump design manual》；
It is extra large at a high speed using DNV (Norske Veritas) classification society according to rotating speed n, number of blade Z, impeller diameter D and general power P
Ship design specification 1996 editions (Rules for High and Light Craft, January 1996), is determined at blade root
Maximum gauge Tmax；
According to maximum gauge Tmax at blade root, using 791 profile thickness changing rules, the blade at the leaf top
Locate on the working face molded lines of blade to distinguish at the working face molded lines and the blade root of blade in working face molded lines, the leaf
Draw the back side molded line of blade, the corresponding two-sided molded lines and leaf for obtaining locating blade at leaf top in the two-sided molded lines of blade, leaf
The two-sided molded lines (referring to Fig. 3, Fig. 4 and Fig. 5) of blade at root, the 791 profile thickness changing rule come from《Pump design manual》；
By leaf at the two-sided molded lines and the blade root of locating blade in the two-sided molded lines of blade, the leaf at the leaf top
The two-sided molded lines of piece makees circular arc processing at respective blade inlet edge and trailing edge respectively, corresponding to obtain the molded line of blade at leaf top
Locate the molded lines (referring to Fig. 3, Fig. 4 and Fig. 5) of blade at the molded lines and blade root of blade, specifically, the circular arc in figure, leaf
The rule of reason is：Arc diameter is equal to 0.006D~0.008D, and circular arc is tangent with working face molded line and back side molded line respectively, the rule
Then come from《Pump design manual》；
According to the type of blade at the molded lines and the blade root of locating blade in the molded lines of blade, the leaf at the leaf top
Line chart, the graphics of individual blade is drawn using grid conformal mapping method, the grid conformal mapping method comes from《Pump is set
Count handbook》；
According to the boss shape and size, using method is rotated about the axis, the graphics of wheel hub, the hub-shaped are obtained
Shape uses conical design；
The graphics of the individual blade is merged with the graphics of the wheel hub according to spatial correspondence, obtains single leaf
The impeller graphics of piece；
The other blades of completion on the impeller graphics of the single blade, so as to obtain complete impeller graphics (referring to
Fig. 1 and Fig. 2), design is completed.
After the completion of design, to verify design object flow, lift, whether power is consistent with actual result, using CFD (meters
Fluid operator mechanics method) method validation.When being unsatisfactory for design requirement, using DOE (experimental design optimization) β described in method amendmento2、
The βc2, the βh2, the βh2Adjusted in the range of positive and negative 7 °, the βc2Adjusted in the range of positive and negative 5 °, the βo2
Adjusted in the range of positive and negative 3 ° (referring to《Pump design manual》), after adjustment, the βo2=41 °, the βc2=51 °, the βh2
=61 °.
The present embodiment designs the impeller of shaft flow structure by using the Hydraulic Design Method of streamline method, so, obtains
Impeller had both had the characteristics that the easy processing of aial flow impeller, easy to install and later stage upkeep cost were low, while had mixed-flow leaf again
The characteristics of specific speed of wheel is high, so as to improve the scope of application of impeller.
The foregoing is only presently preferred embodiments of the present invention, be not intended to limit the invention, it is all the present invention spirit and
Within principle, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.
Claims (10)
1. a kind of design method of hydraulic jet propulsion impeller of pump, the impeller (1) uses shaft flow structure, it is characterised in that described
Impeller (1) uses the Hydraulic Design Method of streamline method, as follows the step of the Hydraulic Design Method using streamline method：
Determine the design object parameter of the impeller (1)：Flow Q, lift H, rotating speed n, mechanical efficiency ηm, volumetric efficiency ηV, total work
Rate P, boss shape and size, leaf head into stream angle betao1, width of blade b at leaf topo, locate width of blade b in leafc, blade at blade root
Width bh；
The diameter D of the impeller (1) is determined according to the similar formula of flow, calculation formula is：
<mrow>
<mi>D</mi>
<mo>=</mo>
<mn>9.75</mn>
<mo>&times;</mo>
<msqrt>
<mfrac>
<mi>Q</mi>
<mi>K</mi>
</mfrac>
</msqrt>
</mrow>
Wherein, Q unit is m3/ s, D unit are m, K=nD；
Determine the leaf jacking mouth peripheral speed U of the impeller (1)o1, calculation formula is：
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&pi;nd</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mn>60</mn>
</mfrac>
</mrow>
Wherein, do1For the import leaf top diameter of the impeller (1), do1=D；
Determine the theoretical axial velocity C of the impeller (1)m1, calculation formula is：
<mrow>
<msub>
<mi>C</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>tan&beta;</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>tan&beta;</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<mfrac>
<mrow>
<msub>
<mi>&pi;nd</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mn>60</mn>
</mfrac>
<mo>;</mo>
</mrow>
Determine import peripheral speed U in the leaf of the impeller (1)c1, calculation formula is：
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>c</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&pi;nd</mi>
<mrow>
<mi>c</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mn>60</mn>
</mfrac>
</mrow>
Wherein, dc1For diameter in the import leaf of the impeller (1), dc1=(do1+dh1)/2, dh1For the import leaf of the impeller (1)
Root diameter, dh1=0.27*do1；
Determine to locate inflow angle β in the leaf of the impeller (1)c1, calculation formula is：
<mrow>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>c</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>a</mi>
<mi>r</mi>
<mi>c</mi>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>C</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>U</mi>
<mrow>
<mi>c</mi>
<mn>1</mn>
</mrow>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
Determine the blade root import peripheral speed U of the impeller (1)h1, calculation formula is：
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>h</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&pi;nd</mi>
<mrow>
<mi>h</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mn>60</mn>
</mfrac>
<mo>;</mo>
</mrow>
Determine inflow angle β at the blade root of the impeller (1)h1, calculation formula is：
<mrow>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>h</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>a</mi>
<mi>r</mi>
<mi>c</mi>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>C</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>U</mi>
<mrow>
<mi>h</mi>
<mn>1</mn>
</mrow>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
Determine the theoretical delivery Q of the impeller (1)1, calculation formula is：
<mrow>
<msub>
<mi>Q</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<mfrac>
<mi>&pi;</mi>
<mn>4</mn>
</mfrac>
<mrow>
<mo>(</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>d</mi>
<mrow>
<mi>o</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>-</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>d</mi>
<mrow>
<mi>h</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>)</mo>
</mrow>
<mo>&CenterDot;</mo>
<msub>
<mi>C</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>;</mo>
</mrow>
Determine axis plane velocity C at the leaf top of the impeller (1)m2o；
<mrow>
<msub>
<mi>C</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>Q</mi>
<mn>1</mn>
</msub>
</mrow>
<mrow>
<mi>&pi;</mi>
<mrow>
<mo>(</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>d</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>-</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>d</mi>
<mrow>
<mi>h</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
</mrow>
Wherein, do2For the outlet leaf top diameter of the impeller (1), do2=D, dh2For the outlet blade root diameter of the impeller (1),
dh2=0.6*do2；
Determine the specific speed n of the impeller (1)s, calculation formula is：
<mrow>
<msub>
<mi>n</mi>
<mi>s</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>3.65</mn>
<mo>&CenterDot;</mo>
<mi>n</mi>
<msqrt>
<mi>Q</mi>
</msqrt>
</mrow>
<msup>
<mi>H</mi>
<mrow>
<mn>3</mn>
<mo>/</mo>
<mn>4</mn>
</mrow>
</msup>
</mfrac>
<mo>;</mo>
</mrow>
Determine the gross efficiency η of water jet propulsion pumppump, calculation formula is：
<mrow>
<msub>
<mi>&eta;</mi>
<mrow>
<mi>p</mi>
<mi>u</mi>
<mi>m</mi>
<mi>p</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0.95</mn>
<mo>-</mo>
<mfrac>
<mn>0.05</mn>
<mroot>
<mrow>
<mi>Q</mi>
<mo>/</mo>
<msub>
<mi>Q</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
</mrow>
<mn>3</mn>
</mroot>
</mfrac>
<mo>-</mo>
<mn>0.125</mn>
<msup>
<mrow>
<mo>&lsqb;</mo>
<mi>l</mi>
<mi>o</mi>
<mi>g</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>n</mi>
<mi>s</mi>
</msub>
<mn>34.85</mn>
</mfrac>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
Wherein, relative discharge Qref=1m3/s；
Determine the hydraulic efficiency η of the impeller (1)h, calculation formula is：
<mrow>
<msub>
<mi>&eta;</mi>
<mi>h</mi>
</msub>
<mo>=</mo>
<mfrac>
<msub>
<mi>&eta;</mi>
<mrow>
<mi>p</mi>
<mi>u</mi>
<mi>m</mi>
<mi>p</mi>
</mrow>
</msub>
<mrow>
<msub>
<mi>&eta;</mi>
<mi>m</mi>
</msub>
<mo>&CenterDot;</mo>
<msub>
<mi>&eta;</mi>
<mi>V</mi>
</msub>
</mrow>
</mfrac>
<mo>;</mo>
</mrow>
Determine the leaf ejection mouth peripheral speed U of the impeller (1)2o, calculation formula is：
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&pi;nd</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
</mrow>
<mn>60</mn>
</mfrac>
<mo>;</mo>
</mrow>
Determine the leaf top circumference component C of the impeller (1)u2o；
<mrow>
<msub>
<mi>C</mi>
<mrow>
<mi>u</mi>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mi>g</mi>
<mi>H</mi>
</mrow>
<mrow>
<msub>
<mi>&eta;</mi>
<mi>h</mi>
</msub>
<mo>&CenterDot;</mo>
<msub>
<mi>U</mi>
<mrow>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>;</mo>
</mrow>
Determine angle of outlet β at the leaf top of the impeller (1)o2, calculation formula is：
<mrow>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>a</mi>
<mi>r</mi>
<mi>c</mi>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>C</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>C</mi>
<mrow>
<mi>u</mi>
<mn>2</mn>
<mi>o</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
Determine to locate angle of outlet β in the leaf of the impeller (1)c2, calculation formula is：
<mrow>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>c</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>a</mi>
<mi>r</mi>
<mi>c</mi>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<msub>
<mi>d</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<msub>
<mi>d</mi>
<mrow>
<mi>c</mi>
<mn>2</mn>
</mrow>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
</mrow>
Wherein, dc2For diameter in the outlet leaf of the impeller (1), dc2=(do2+dh2)/2；
Determine angle of outlet β at the blade root of the impeller (1)h2, calculation formula is：
<mrow>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>h</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>a</mi>
<mi>r</mi>
<mi>c</mi>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<msub>
<mi>d</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<mi>t</mi>
<mi>a</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>&beta;</mi>
<mrow>
<mi>o</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<msub>
<mi>d</mi>
<mrow>
<mi>h</mi>
<mn>2</mn>
</mrow>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
According to width of blade b at the boss shape, the leaf topo, locate width of blade b in the leafc, blade at the blade root
Width bh, the import leaf top diameter do1, diameter d in the import leafc1, the import blade root diameter dh1, the outlet leaf top
Diameter do2, it is described outlet leaf in diameter dc2, the outlet blade root diameter dh2, prescription lattice in leaf top prescription trrellis diagram, leaf are drawn respectively
Figure and blade root prescription trrellis diagram；
Stream angle beta is headed into according to the leafo1, locate inflow angle β in the leafc1, inflow angle β at the blade rooth1, go out at the leaf top
Bicker βo2, locate angle of outlet β in the leafc2, angle of outlet β at the blade rooth2And width of blade b at the leaf topo, the leaf
Middle place's width of blade bc, width of blade b at the blade rooth, respectively in the leaf top prescription trrellis diagram, the leaf prescription trrellis diagram and
Working face molded line is drawn in the blade root prescription trrellis diagram, locates blade in the corresponding working face molded lines for obtaining blade at leaf top, leaf
Working face molded lines and blade root at blade working face molded lines；
According to number of blade Z and specific speed nsRelation, determine the number of blade Z of the impeller (1)；
According to rotating speed n, number of blade Z, impeller diameter D and general power P, maximum gauge Tmax at blade root is determined；
According to maximum gauge Tmax at blade root, locate blade in the working face molded lines of blade, the leaf at the leaf top
Working face molded lines and the blade root at blade working face molded lines on draw the back side molded line of blade respectively, it is corresponding to obtain
Locate the two-sided molded lines of blade at the two-sided molded lines and blade root of blade at leaf top in the two-sided molded lines of blade, leaf；
By blade at the two-sided molded lines and the blade root of locating blade in the two-sided molded lines of blade, the leaf at the leaf top
Two-sided molded lines makees circular arc processing at respective blade inlet edge and trailing edge respectively, it is corresponding obtain the molded lines of blade at leaf top,
Locate the molded lines of blade at the molded lines and blade root of blade in leaf；
According to the molded line of blade at the molded lines and the blade root of locating blade in the molded lines of blade, the leaf at the leaf top
Figure, draw the graphics of individual blade；
According to the boss shape and size, using method is rotated about the axis, the graphics of wheel hub is obtained；
The graphics of the individual blade is merged with the graphics of the wheel hub according to spatial correspondence, obtains single blade
Impeller graphics；
The other blades of completion on the impeller graphics of the single blade, so as to obtain complete impeller graphics, design is completed.
2. the design method of a kind of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that described in the determination
The diameter D of impeller (1) is specially：Given some initial value Ks of the K between 600~700 when calculating for the first time, then according to initial value K
Initial diameter D is determined, then K is recalculated by the rotating speed n and substitutes into formula and is iterated calculating, finally determines the impeller
(1) final diameter D.
3. the design method of a kind of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that described in the basis
Width of blade b at boss shape, the leaf topo, locate width of blade b in the leafc, width of blade b at the blade rooth, it is described enter
Mouth leaf top diameter do1, diameter d in the import leafc1, the import blade root diameter dh1, the outlet leaf top diameter do2, it is described go out
Diameter d in mouth leafc2, the outlet blade root diameter dh2, prescription trrellis diagram and blade root prescription in leaf top prescription trrellis diagram, leaf are drawn respectively
Trrellis diagram is specially：According to width of blade b at the boss shape, the leaf topo, locate width of blade b in the leafc, the blade root
Locate width of blade bh, the import leaf top diameter do1, diameter d in the import leafc1, the import blade root diameter dh1, it is described go out
Mouth leaf top diameter do2, it is described outlet leaf in diameter dc2, the outlet blade root diameter dh2, using grid conformal mapping method point
Prescription trrellis diagram and blade root prescription trrellis diagram in leaf top prescription trrellis diagram, leaf are not drawn.
4. the design method of a kind of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that described respectively in institute
State and draw working face molded line in prescription trrellis diagram and the blade root prescription trrellis diagram in leaf top prescription trrellis diagram, the leaf and be specially：According to
The leaf heads into stream angle betao1, locate inflow angle β in the leafc1, inflow angle β at the blade rooth1, angle of outlet β at the leaf topo2, institute
State and locate angle of outlet β in leafc2, angle of outlet β at the blade rooth2And width of blade b at the leaf topo, to locate blade in the leaf wide
Spend bc, width of blade b at the blade rooth, smoothly transitted design method using single arc method, respectively the leaf top prescription trrellis diagram,
In the leaf working face molded line is drawn in prescription trrellis diagram and the blade root prescription trrellis diagram.
A kind of 5. design method of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that the number of blade Z
With specific speed nsRelation it is as follows：Work as nsWhen=500, Z=5, work as nsWhen=600, Z=5, work as nsWhen=700, Z=4, work as ns=
When 850, Z=4, work as nsWhen=1000, Z=3, work as nsWhen=1250, Z=3, work as nsWhen=1500, Z=3；
Wherein, nsFor specific speed, Z is the number of blade.
A kind of 6. design method of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that the determination blade
Maximum gauge Tmax is specially at blade root：It is high using DNV classification societies according to rotating speed n, number of blade Z, impeller diameter D and general power P
Fast seagoing vessel design specification determines maximum gauge Tmax at blade root.
7. the design method of a kind of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that described in the leaf
Locate the working face type of blade at the working face molded lines and the blade root of blade at top in the working face molded lines of blade, the leaf
The back side molded line for drawing blade on line chart respectively is specially：According to maximum gauge Tmax at blade root, using 791 profile thicknesses
Changing rule, locate the working face molded lines of blade and the leaf at the leaf top in the working face molded lines of blade, the leaf
Draw the back side molded line of blade at root on the working face molded lines of blade respectively.
A kind of 8. design method of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that the circular arc processing
Rule be：Arc diameter is equal to 0.006D~0.008D, and circular arc is tangent with working face molded line and back side molded line respectively.
9. the design method of a kind of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that described in the basis
Locate the molded lines of blade at the molded lines and the blade root of blade at leaf top in the molded lines of blade, the leaf, draw single leaf
The graphics of piece is specially：According to the molded lines of place's blade and the blade root in the molded lines of blade, the leaf at the leaf top
Locate the molded lines of blade, the graphics of individual blade is drawn using grid conformal mapping method.
A kind of 10. design method of hydraulic jet propulsion impeller of pump according to claim 1, it is characterised in that the hub-shaped
Shape uses conical design.
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| CN106886630B (en) * | 2017-01-16 | 2020-10-02 | 中国人民解放军海军工程大学 | Pump jet propeller hydraulic model with shunting short blades and design method |
| CN106917775A (en) * | 2017-05-11 | 2017-07-04 | 江苏斯别特制泵有限公司 | A kind of high-power submerged axial-flow pump impeller |
| CN106989042A (en) * | 2017-05-24 | 2017-07-28 | 濮阳市华南重工科技有限公司 | A kind of mixed flow fan and its manufacture method |
| CN109214077B (en) * | 2018-08-28 | 2022-12-20 | 中国船舶重工集团公司第十二研究所 | Design method of impeller blade of mud pump |
| CN110053748B (en) * | 2019-06-10 | 2023-12-15 | 大连理工大学 | Hydraulic model structure of high-specific-speed water jet propulsion pump |
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| DE3147513A1 (en) * | 1981-12-01 | 1983-06-09 | Klein, Schanzlin & Becker Ag, 6710 Frankenthal | RADIAL IMPELLER FOR CENTRIFUGAL PUMPS |
| SU1070342A1 (en) * | 1982-07-07 | 1984-01-30 | Lubenskij Stanislav K | Centrifugal pump |
| JP2000186694A (en) * | 1998-12-21 | 2000-07-04 | Kubota Corp | Non-prewhirl suction casing for pump |
| CN101368573B (en) * | 2008-09-08 | 2010-06-02 | 奇瑞汽车股份有限公司 | Water pump impeller |
| CN202370893U (en) * | 2011-12-15 | 2012-08-08 | 湖南机油泵股份有限公司 | Cooling water pump impeller for sedan engine |
| CN102628450B (en) * | 2012-01-16 | 2014-07-23 | 兰州理工大学 | Non-overload centrifugal pump impeller designing method |
| CN102808800A (en) * | 2012-06-29 | 2012-12-05 | 江苏国泉泵业制造有限公司 | Design method for impeller of stainless steel stamping type non-clogging pump |
| CN103742445B (en) * | 2013-12-31 | 2017-01-11 | 江苏大学 | Nuclear main pump maximum flow hydraulic design method |
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