CN105626573A - Designing method of fish-friendly axial flow pump based on fish survival rate prediction - Google Patents

Designing method of fish-friendly axial flow pump based on fish survival rate prediction Download PDF

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CN105626573A
CN105626573A CN201510982651.XA CN201510982651A CN105626573A CN 105626573 A CN105626573 A CN 105626573A CN 201510982651 A CN201510982651 A CN 201510982651A CN 105626573 A CN105626573 A CN 105626573A
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blade
fish
leading edge
axial
flow pump
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潘强
施卫东
张德胜
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Jiangsu University
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/18Rotors
    • F04D29/181Axial flow rotors

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  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)

Abstract

本发明提供了一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,采用数学模型预测泵设计参数与鱼类通过存活率之间的关系,并由此指导轴流泵的鱼类友好型设计。数学模型主要包括叶片前缘撞击概率及撞击死亡率,撞击概率为鱼类通过叶片前缘处过流断面的时间与叶轮转过一个叶片距所需时间的比值,撞击死亡率与撞击速度、鱼类长度和叶片前缘厚度有关,撞击速度取垂直前缘的速度分量。鱼友好型轴流泵设计包括:采用两叶片叶轮降低叶片前缘撞击概率,采用线性前掠前伸的叶片前缘降低撞击死亡率,翼型参数的设计可保证良好的水力性能。本发明提出的鱼类存活率预测模型与实验值吻合度高,指导设计的鱼友好型轴流泵可大幅降低鱼类死亡率。

The invention provides a design method of a fish-friendly axial flow pump based on the prediction of fish survival rate, which uses a mathematical model to predict the relationship between pump design parameters and fish passing survival rate, and thus guides the axial flow pump's fish Class friendly design. The mathematical model mainly includes the impact probability of the leading edge of the blade and the impact fatality rate. The impact probability is the ratio of the time for fish to pass through the flow section at the leading edge of the blade to the time required for the impeller to rotate a blade distance, the impact mortality rate and the impact speed, fish The class length is related to the thickness of the leading edge of the blade, and the impact velocity is taken as the velocity component vertical to the leading edge. The design of the fish-friendly axial flow pump includes: the use of two-blade impellers to reduce the impact probability of the leading edge of the blades, the use of linearly swept and forward-extending blade leading edges to reduce the impact fatality rate, and the design of the airfoil parameters can ensure good hydraulic performance. The fish survival rate prediction model proposed by the invention has a high degree of agreement with the experimental value, and the fish-friendly axial-flow pump guided to design can greatly reduce the fish mortality rate.

Description

一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法A Design Method of Fish-Friendly Axial Flow Pump Based on Prediction of Fish Survival Rate

技术领域technical field

本发明涉及水力机械技术领域,尤其涉及一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,适用于有各类鱼通过的大中型轴流泵设计。The invention relates to the technical field of hydraulic machinery, in particular to a design method of a fish-friendly axial flow pump based on fish survival rate prediction, which is suitable for the design of large and medium-sized axial flow pumps through which various types of fish pass.

背景技术Background technique

泵站广泛应用于防洪排涝以及农业灌溉,在很多国内沿河沿海城市,欧洲地势低洼的国家,泵站的用量十分巨大。但一个负面影响在于,河流海洋中的鱼类资源通过泵站时会遭受不可避免的损伤和死亡,进而影响鱼类的洄游和迁徙。早在2000年欧洲议会就出台了保护鱼类栖息地的指令,包括为鱼类提供通畅的洄游,欧盟水框架指令也强调了将各种水障碍转变为鱼友好型的重要性,在未来几年,加强补救濒危鱼类的法规也将在欧盟各国执行。在当今许多国家重视生态保护的背景下,鱼类友好型泵及泵站的开发也受到越来越多的关注。Pumping stations are widely used in flood control and drainage as well as agricultural irrigation. In many domestic coastal cities along rivers and low-lying countries in Europe, the amount of pumping stations is very large. But a negative impact is that fish stocks in rivers and oceans will suffer inevitable damage and death when passing through the pumping station, which will affect the migration and migration of fish. As early as 2000, the European Parliament issued a directive to protect fish habitats, including providing unimpeded migration for fish. The EU Water Framework Directive also emphasized the importance of transforming various water barriers into fish-friendly ones. In 2010, regulations to strengthen the remediation of endangered fish species will also be enforced in EU countries. Under the background that many countries attach importance to ecological protection, the development of fish-friendly pumps and pumping stations has also received more and more attention.

经检索,没有相关鱼类通过轴流泵后存活率预测的数学模型,而在轴流泵相关的设计方法中,几乎都为提高泵效率、泵稳定性、污物通过能力或多工况下运行的设计方法,如公开号为CN102748300A、CN104005983A、CN103452912A的专利技术,都未考虑泵在实际运行中会有活鱼通过,而优化设计一种鱼类友好型泵。公开号为CN104613001A的专利技术提出了可通过鱼类的生态友好型轴流泵结构,但没有给出设计方法。因此,现有设计方法并不能解决提高鱼类存活率这一重要的生态问题。After searching, there is no mathematical model for predicting the survival rate of relevant fish after passing through the axial flow pump. In the design methods related to axial flow pumps, almost all of them are to improve pump efficiency, pump stability, sewage passing capacity or under multiple working conditions. The design methods of operation, such as the patented technologies with publication numbers CN102748300A, CN104005983A, and CN103452912A, do not consider that live fish will pass through the pump in actual operation, and optimize the design of a fish-friendly pump. Publication number is that the patent technology of CN104613001A proposes the eco-friendly axial flow pump structure that can pass fish, but does not provide design method. Therefore, existing design methods do not address the important ecological issue of improving fish survival.

发明内容Contents of the invention

针对现有技术中存在的问题,本发明提供了一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,以提高鱼类通过大中型轴流泵的存活率,避免鱼类损伤和死亡。Aiming at the problems existing in the prior art, the present invention provides a design method of a fish-friendly axial flow pump based on the prediction of fish survival rate, so as to improve the survival rate of fish passing through the large and medium-sized axial flow pump and avoid fish damage and death.

本发明的技术方案为:一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,采用数学模型预测鱼类通过轴流泵后的存活率,得到叶片设计参数与鱼类存活率之间的关系,并由此指导鱼友好型轴流泵的设计。所述数学模型主要包括叶片前缘撞击概率预测及撞击死亡率预测,重点在于撞击速度的选择。所述鱼友好型轴流泵设计基于数学模型,采用两叶片叶轮降低叶片前缘撞击概率,采用线性前掠前伸的叶片前缘降低撞击死亡率。The technical solution of the present invention is: a design method of a fish-friendly axial flow pump based on the prediction of fish survival rate, using a mathematical model to predict the survival rate of fish passing through the axial flow pump, and obtaining the blade design parameters and fish survival rate The relationship between these factors guides the design of fish-friendly axial flow pumps. The mathematical model mainly includes the prediction of blade leading edge impact probability and impact fatality, with emphasis on the selection of impact speed. The design of the fish-friendly axial flow pump is based on a mathematical model, using a two-blade impeller to reduce the impact probability of the leading edge of the blade, and using a linear forward-swept and forward-extending blade leading edge to reduce the impact fatality rate.

所述数学模型将鱼类考虑为一维线性僵直物体,无主观运动,与液流之间无相对滑移,长度为Lfish的鱼类与液流的共同轴向速度为vm1,则鱼类通过叶片前缘处过流断面所需时间为tfish,Q为泵流量,R1和R2分别为叶片前缘轮毂处和轮缘处的半径。The mathematical model considers the fish as a one-dimensional linear rigid object, without subjective movement, and without relative slippage with the liquid flow, and the common axial velocity of the fish with a length L fish and the liquid flow is v m1 , then the fish The time required for the species to pass through the flow section at the leading edge of the blade is t fish , Q is the pump flow rate, R 1 and R 2 are the radii at the hub and rim of the blade leading edge, respectively.

tt ff ii sthe s hh == LL ff ii sthe s hh vv mm 11 == ππ (( RR 22 22 -- RR 11 22 )) LL ff ii sthe s hh QQ

叶轮转速为Nr/min,叶片数为n的叶轮转过一个叶片距s所需时间为tblade,r为叶片前缘任一点半径,u为叶片圆周速度。The impeller speed is Nr/min, the time required for an impeller with n blades to rotate through a blade distance s is t blade , r is the radius of any point on the leading edge of the blade, and u is the circumferential speed of the blade.

tt bb ll aa dd ee == sthe s uu == 22 ππ rr // nno NN 22 ππ rr // 6060 == 6060 nno NN

通过tfish与tblade的比值得到前缘撞击概率 The leading edge impact probability is obtained by the ratio of t fish to t blade

将前缘撞击概率限制在100%以内,Pstrike=min[1,P'strike]To limit the leading edge strike probability to 100%, P strike = min[1,P' strike ]

受到叶片前缘撞击后,有部分鱼类会死亡,影响该比例fstrike最重要的因素就是撞击速度v,本发明选取的撞击速度为垂直前缘的速度分量,分别取叶片圆周速度垂直前缘方向的分量cosα与液流轴向速度垂直前缘方向的分量cosβ进行向量叠加,即 为角速度矢量,r为前缘任一点半径,α为正视图上叶片切向速度方向与垂直前缘方向的夹角,为液流轴向速度矢量,β为轴面投影图上液流轴向速度方向与垂直前缘方向的夹角。After being hit by the leading edge of the blade, some fish will die. The most important factor affecting the ratio f strike is the impact velocity v. The impact velocity selected by the present invention is the velocity component of the vertical leading edge, and the circumferential velocity of the blade is respectively taken as the vertical leading edge component of direction cosα and the component of the axial velocity of the liquid flow in the direction perpendicular to the leading edge cosβ performs vector superposition, that is, is the angular velocity vector, r is the radius of any point on the leading edge, α is the angle between the blade tangential velocity direction and the vertical leading edge direction on the front view, is the axial velocity vector of the liquid flow, and β is the angle between the axial velocity direction of the liquid flow and the direction perpendicular to the front edge on the axial plane projection.

在前缘上对撞击速度积分求平均 Averaging the impact velocity integral over the leading edge

根据泵站监测的数据分析得到的撞击死亡率fstrike与平均撞击速度va、鱼类长度Lfish、叶片前缘厚度d之间的关系,a、b为系数,取值如下表According to the data analysis of the pump station monitoring, the relationship between the strike fatality rate f strike and the average strike velocity v a , fish length L fish , and blade leading edge thickness d, a and b are coefficients, and the values are as follows

鱼类存活率C=1-Pstrikefstrike Fish survival rate C=1-P strike f strike

所述叶片前缘线性前掠前伸,其前掠程度定义为叶轮正视图中,前缘轮缘处至前缘轮毂处的角度,满足前掠形式定义为前掠角α随前缘半径R的变化率k1,满足k1为常数;前伸程度E定义为叶轮轴面投影图中,前缘轮缘处至前缘轮毂处的轴向距离,满足0.2R2<E<0.4R2,前伸形式定义为前缘轴向距离L随半径R的变化率k2,满足k2为常数。The leading edge of the blade is linearly swept forward, and the degree of its forward sweep Defined as the angle from the leading edge rim to the leading edge hub in the front view of the impeller, satisfying The forward sweep form is defined as the change rate k 1 of the forward sweep angle α with the leading edge radius R, satisfying that k 1 is a constant; the forward extension degree E is defined as the distance between the leading edge rim and the leading edge hub in the axial plane projection diagram of the impeller The axial distance satisfies 0.2R 2 <E<0.4R 2 , and the forward extension form is defined as the change rate k 2 of the axial distance L of the leading edge with the radius R, satisfying that k 2 is a constant.

所述鱼友好型轴流泵设计方法,通过设计叶片在不同半径的柱面上的截面翼型,生成完整叶片。The fish-friendly axial flow pump design method generates complete blades by designing cross-sectional airfoils of the blades on cylindrical surfaces with different radii.

叶片不同截面翼型弦长l取值在轮毂处为1.6R2,线性增加到轮缘处的3R2The chord length l of the airfoil of different sections of the blade is 1.6R 2 at the hub, and increases linearly to 3R 2 at the rim.

叶片不同截面处液流轴向速度为考虑容积效率ηv及叶片排挤系数ψ,容积效率取定值0.98,叶片排挤系数取值在轮毂处为0.87线性增加到轮缘处的0.95。The axial velocity of the liquid flow at different sections of the blade is Considering the volumetric efficiency η v and the blade displacement coefficient ψ, the volumetric efficiency takes a fixed value of 0.98, and the value of the blade displacement coefficient increases linearly from 0.87 at the hub to 0.95 at the rim.

叶片不同截面处叶片出口液流圆周速度分量为采用1.5~1.7倍设计扬程H,水力效率ηh取值由轮毂处的0.9线性减少到轮缘处的0.86,环量修正系数ξ由轮毂处的0.8线性增加到中间截面处的1,再线性增加到轮缘处的1.25,u为叶片圆周速度。The circumferential velocity component of the blade outlet liquid flow at different sections of the blade is Using 1.5 to 1.7 times the design head H, the value of hydraulic efficiency η h decreases linearly from 0.9 at the hub to 0.86 at the rim, and the circulation correction factor ξ linearly increases from 0.8 at the hub to 1 at the middle section, and then linearly Increased to 1.25 at the rim, u is the peripheral speed of the blade.

叶片进口角附加角度在轮毂处为1°线性增加到3°,vm1为叶片进口液流轴向速度分量。blade inlet angle The additional angle increases linearly from 1° to 3° at the hub, and v m1 is the axial velocity component of the blade inlet liquid flow.

叶片出口角附加角度恒为1°,vm2为叶片出口液流轴向速度分量。blade exit angle The additional angle is always 1°, and v m2 is the axial velocity component of the blade outlet liquid flow.

叶片叶弦角βL=(β12)/2。Blade chord angle β L =(β 12 )/2.

根据前缘前掠程度前掠形式k1、前伸程度E以及前伸形式k2,在翼型展开图中将翼型作相应的偏移以形成线性前掠前伸的叶片前缘。According to the degree of leading edge sweep For the forward-swept form k 1 , the degree of forward extension E and the forward-extended form k 2 , the airfoil is offset accordingly in the airfoil development diagram to form a linear forward-swept forward-extended blade leading edge.

本发明的有益效果:Beneficial effects of the present invention:

(1)鱼类通过轴流泵后的存活率预测数学模型,经过试验验证可准确反应泵设计参数与鱼存活率之间的关系,可指导设计鱼类友好型轴流泵。根据数学模型可得,叶片数和转速是影响叶片前缘撞击概率最主要因素,撞击速度是影响撞击死亡率的最主要因素。(1) The mathematical model for predicting the survival rate of fish after passing through the axial flow pump has been verified by experiments to accurately reflect the relationship between pump design parameters and fish survival rate, and can guide the design of fish-friendly axial flow pumps. According to the mathematical model, the number of blades and the rotating speed are the most important factors affecting the impact probability of the leading edge of the blade, and the impact speed is the most important factor affecting the impact fatality.

(2)基于鱼存活率预测数学模型设计鱼类友好型轴流泵,两叶片叶轮可大幅降低叶片撞击概率,与采用低转速叶轮降低撞击概率相比,可保证更高的扬程;叶片前缘线性前掠前伸可大幅降低前缘各点撞击速度,从而降低撞击死亡率。通过数学模型预测,相同设计参数(外径,转速,流量,扬程等)下的轴流泵经鱼友好型设计后,鱼类存活率提高50%以上。(2) A fish-friendly axial flow pump is designed based on the mathematical model of fish survival rate prediction. The two-blade impeller can greatly reduce the impact probability of the blades. Compared with the low-speed impeller to reduce the impact probability, it can ensure a higher head; The linear sweep forward can greatly reduce the impact velocity at each point of the leading edge, thereby reducing the impact fatality rate. Predicted by the mathematical model, the fish survival rate of the axial flow pump under the same design parameters (outer diameter, rotational speed, flow rate, head, etc.) will be increased by more than 50% after the fish-friendly design.

(3)本发明在设计叶片翼型参数时,弦长l取值较小可降低叶栅稠密度,一方面控制叶片轴向高度,另一方面减小叶片做功面积,降低水力损失;采用1.5~1.7倍设计扬程计算叶片出口角β2,弥补较小弦长值造成的液流偏转不足。(3) When the present invention is designing blade airfoil parameters, the value of chord length l can reduce the cascade denseness, control the axial height of the blade on the one hand, reduce the work area of the blade on the other hand, and reduce the hydraulic loss; adopt 1.5 ~ 1.7 times the design head to calculate the blade outlet angle β 2 , to make up for the lack of liquid flow deflection caused by the small chord length value.

附图说明Description of drawings

图1为标准轴流泵叶轮侧视图。Figure 1 is a side view of a standard axial flow pump impeller.

图2为标准轴流泵叶轮正视图。Figure 2 is a front view of a standard axial flow pump impeller.

图3为鱼存活率预测数学模型示意图。Fig. 3 is a schematic diagram of a mathematical model for predicting fish survival rate.

图4为鱼存活率预测数学模型轴向速度分解示意图Figure 4 is a schematic diagram of the axial velocity decomposition of the mathematical model for fish survival rate prediction

图5为鱼存活率预测数学模型圆周速度分解示意图Figure 5 is a schematic diagram of the peripheral velocity decomposition of the mathematical model for fish survival rate prediction

图6为鱼类友好型轴流泵叶轮示意图。Fig. 6 is a schematic diagram of an impeller of a fish-friendly axial flow pump.

图7为鱼类友好型轴流泵叶轮正视图。Figure 7 is a front view of the impeller of the fish-friendly axial flow pump.

图8为鱼类友好型轴流泵叶轮轴面投影图。Fig. 8 is a projection view of the axial plane of the impeller of the fish-friendly axial flow pump.

图9为叶片截面示意图。Figure 9 is a schematic cross-sectional view of the blade.

图10叶片截面翼型展开图。Fig. 10 Expanded view of blade section airfoil.

附图标记说明如下:1-轴流泵轮毂,2-叶片前缘,3-叶片,4-叶片后缘,5-叶片前缘处过流断面。Reference numerals are explained as follows: 1—the hub of the axial flow pump, 2—the leading edge of the blade, 3—the blade, 4—the trailing edge of the blade, and 5—the flow cross section at the leading edge of the blade.

具体实施方式detailed description

下面结合附图以及具体实施例对本发明作进一步的说明。The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

鱼存活率预测数学模型通过图1至图5说明。图1为标准轴流泵叶轮侧视图,图2为标准轴流泵叶轮正视图,将其叶片(3)按平面展开,如图3所示。将鱼类考虑为一维线性僵直物体,无主观运动,并与液流之间无相对滑移,鱼类通过叶片前缘处过流断面(5)的时间为tfish,叶轮转过一个叶片距所需时间为tblade,两者比值可得叶片前缘撞击概率P’strike。在受到叶片前缘(2)撞击的鱼类中,有部分鱼类会死亡,这个比例fstrike和撞击速度v以及鱼类长度Lfish与叶片前缘(2)厚度d的比值有关,根据泵站监测的数据回归分析得到fstrike来预测受到撞击后鱼类的死亡率。对于前缘弯掠叶片来说,撞击速度v应取垂直前缘的速度分量,在图3轴向速度分解示意图中,取垂直分量在图4圆周速度分解示意图中,取垂直分量将向量叠加后得前缘各点的撞击速度分布,对其积分求平均后,可得平均撞击速度va。该预测模型经过试验验证,可准确反应泵设计参数与鱼存活率之间的关系,根据数学模型可得,叶片数和转速是影响叶片撞击概率最主要因素,叶片撞击速度是影响叶片撞击死亡率的最主要因素。且采用两叶片叶轮可大幅降低叶片撞击概率,与采用低转速叶轮降低撞击概率相比,可保证更高的扬程;叶片前缘(2)线性前掠前伸可大幅降低前缘各点撞击速度,从而降低撞击死亡率。The mathematical model for predicting fish survival rate is illustrated by Fig. 1 to Fig. 5 . Fig. 1 is a side view of a standard axial flow pump impeller, and Fig. 2 is a front view of a standard axial flow pump impeller, with its blades (3) unfolded in a plane, as shown in Fig. 3 . Considering the fish as a one-dimensional linear rigid object with no subjective movement and no relative slippage with the liquid flow, the time for the fish to pass through the flow section (5) at the leading edge of the blade is t fish , and the impeller rotates one blade The required time is t blade , and the ratio of the two can obtain the strike probability P' strike of the blade leading edge. Among the fish hit by the leading edge (2) of the blade, some fish will die, the ratio f strike is related to the impact velocity v and the ratio of fish length L fish to the thickness d of the leading edge (2) of the blade, according to the pump The regression analysis of the data monitored by the station obtained f strike to predict the mortality of fish after being hit. For the leading-edge sweeping blade, the impact velocity v should take the velocity component of the vertical leading edge. In the schematic diagram of axial velocity decomposition in Figure 3, take the vertical component In the schematic diagram of peripheral velocity decomposition in Figure 4, take the vertical component will vector and After the superposition, the impact velocity distribution of each point on the front edge is obtained, and the average impact velocity v a can be obtained after the integral is averaged. The prediction model has been verified by experiments and can accurately reflect the relationship between the design parameters of the pump and the survival rate of fish. According to the mathematical model, the number of blades and the rotational speed are the most important factors affecting the probability of blade impact, and the blade impact speed is the most important factor affecting the blade impact mortality. most important factor. And the use of two-blade impeller can greatly reduce the probability of blade impact, compared with the use of low-speed impeller to reduce the impact probability, it can ensure a higher head; the linear forward sweep and extension of the leading edge (2) of the blade can greatly reduce the impact speed of each point on the leading edge , thereby reducing the impact fatality rate.

基于鱼存活率预测的数学模型,对叶片前缘(2)线性前掠前伸,鱼类友好型轴流泵叶轮三维示意图如图6所示。具体来说,前掠程度定义为叶轮正视图7中,前缘轮缘处Y点至前缘轮毂处G点的角度,满足前掠形式定义为前掠角α随前缘半径R的变化率满足k1为常数前伸程度E定义为叶轮轴面投影图8中,前缘轮缘处Y点至前缘轮毂处G点的轴向距离,满足0.2R2<E<0.4R2,前伸形式定义为前缘上各点轴向距离L随半径R的变化率满足k2为常数E/(R2-R1)。Based on the mathematical model of fish survival rate prediction, the leading edge (2) of the blade is linearly swept forward, and the three-dimensional schematic diagram of the fish-friendly axial flow pump impeller is shown in Figure 6. Specifically, the degree of forward sweep Defined as the angle from point Y at the leading edge rim to point G at the hub of the leading edge in front view 7 of the impeller, satisfying The form of the sweep is defined as the rate of change of the sweep angle α with the radius R of the leading edge Satisfy that k 1 is a constant The degree of protruding E is defined as the axial distance from point Y at the rim of the leading edge to point G at the hub of the leading edge in the projection of the impeller shaft surface in Figure 8, which satisfies 0.2R 2 <E<0.4R 2 , and the protruding form is defined as the front The rate of change of the axial distance L of each point on the edge with the radius R It is satisfied that k 2 is a constant E/(R 2 -R 1 ).

鱼友好型轴流泵设计方法,通过设计叶片在不同半径的柱面上的截面翼型,生成完整叶片。不同截面翼型参数采用流线法设计,弦长l取较小值(1.6R2~3R2)可降低叶栅稠密度,一方面控制叶片轴向高度,另一方面减小叶片做功面积,降低水力损失,此时叶片做功较少,液流偏转不足,采用1.5~1.7倍设计扬程计算叶片出口液流圆周速度分量vu2,环量修正系数ξ由轮毂处的0.8线性增加到中间截面处的1,再线性增加到轮缘处的1.25。The fish-friendly axial flow pump design method generates complete blades by designing the cross-sectional airfoils of the blades on cylindrical surfaces with different radii. The airfoil parameters of different sections are designed by the streamline method, and the smaller value of the chord length l (1.6R 2 ~3R 2 ) can reduce the denseness of the cascade. On the one hand, the axial height of the blade is controlled, and on the other hand, the work area of the blade is reduced. Reduce the hydraulic loss, at this time the blades do less work and the deflection of the liquid flow is insufficient. Use 1.5 to 1.7 times the design head to calculate the circumferential velocity component v u2 of the blade outlet liquid flow, and the circulation correction coefficient ξ increases linearly from 0.8 at the hub to the middle section 1, then linearly increased to 1.25 at the rim.

为设计出线性前掠前伸的叶片前缘,将叶片各截面翼型作了相应的偏移,偏移量由前缘前掠程度前掠形式k1、前伸程度E以及前伸形式k2来决定。具体来说,以线性前掠前伸(k1,k2为常数),前掠程度为60°,前伸程度E为0.3R2为例,图9为叶片截面示意图,i-i截面及j-j截面的平面展开图如图10所示,以i-i截面翼型为基准,j-j截面翼型分别逆叶轮旋转方向(图中为水平向右)偏移20°,沿液流方向(图中为竖直向上)偏移0.1R2,其他截面以同样方式偏移,形成线性前掠前伸的叶片前缘。本发明提出的鱼类存活率预测模型与实验值吻合度高,指导设计的鱼友好型轴流泵可大幅降低鱼类死亡率。In order to design the leading edge of the linearly swept forward blade, the airfoil of each section of the blade is offset accordingly, and the offset is determined by the degree of forward sweep of the leading edge It is determined by the form of forward sweep k 1 , the degree of forward reach E and the form of forward reach k 2 . Specifically, with linear forward sweep forward (k 1 , k 2 is a constant), the degree of forward sweep is 60°, and the protruding degree E is 0.3R 2 as an example. Figure 9 is a schematic diagram of the blade section. It is offset by 20° against the direction of impeller rotation (horizontal to the right in the figure), and 0.1R 2 along the direction of liquid flow (vertical upward in the figure), and other sections are offset in the same way to form a linear forward sweep. leading edge of the blade. The fish survival rate prediction model proposed by the invention has a high degree of agreement with the experimental value, and the fish-friendly axial-flow pump guided to design can greatly reduce the fish mortality rate.

Claims (4)

1.一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,包括如下步骤:1. A method for designing a fish-friendly axial-flow pump based on fish survival rate prediction, comprising the steps of: S1:建立鱼类存活率和轴流泵设计参数之间的数学模型;S1: Establish a mathematical model between the fish survival rate and the design parameters of the axial flow pump; S2:基于鱼类存活率和轴流泵设计参数之间的数学模型来优化轴流泵的参数设计。S2: Optimize the parameter design of the axial flow pump based on the mathematical model between the fish survival rate and the design parameters of the axial flow pump. 2.根据权利要求1所述的一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,其特征在于,所述鱼类存活率和轴流泵设计参数之间的数学模型的建立方法如下:2. the design method of a kind of fish-friendly axial flow pump based on fish survival rate prediction according to claim 1, is characterized in that, the mathematical model between described fish survival rate and axial flow pump design parameter The establishment method is as follows: S3:将鱼类考虑为一维线性僵直物体,无主观运动,并与液流之间无相对滑移,叶片前缘(2)撞击概率P’strike为鱼类通过叶片前缘处过流断面(5)的时间tfish与叶轮转过一个叶片距s所需时间tblade的比值,则:S3: Considering the fish as a one-dimensional linear rigid object, there is no subjective movement, and there is no relative slippage with the liquid flow, the impact probability P'strike of the leading edge of the blade (2) is the flow section where the fish passes through the leading edge of the blade (5) The ratio of the time t fish to the time t blade required for the impeller to rotate through a blade distance s, then: tt ff ii sthe s hh == LL ff ii sthe s hh vv mm 11 == &pi;&pi; (( RR 22 22 -- RR 11 22 )) LL ff ii sthe s hh QQ tt bb ll aa dd ee == sthe s uu == 22 &pi;&pi; rr // nno NN 22 &pi;&pi; rr // 6060 == 6060 nno NN PP &prime;&prime; sthe s tt rr ii kk ee == tt ff ii sthe s hh tt bb ll aa dd ee == &pi;&pi; (( RR 22 22 -- RR 11 22 )) LL ff ii sthe s hh nno NN 6060 QQ 其中,Lfish为鱼长度,vm1为鱼类与液流在叶片进口处共同轴向速度分量,Q为泵流量,R1和R2分别为叶片前缘轮毂处和轮缘处的半径,N为叶轮转速,r/min,n为叶轮叶片数,r为叶片前缘任一点半径,u为叶片圆周速度;Among them, L fish is the length of the fish, v m1 is the common axial velocity component of the fish and the liquid flow at the blade inlet, Q is the pump flow rate, R 1 and R 2 are the radii of the hub and rim of the blade leading edge, respectively, N is the impeller speed, r/min, n is the number of impeller blades, r is the radius of any point on the leading edge of the blade, u is the circumferential speed of the blade; S4:受到叶片前缘(2)撞击后的鱼类死亡率fstrike通过监测数据回归分析得到,其与轴流泵的设计参数之间的数学关系为:S4: The fish mortality f strike after being hit by the leading edge of the blade (2) is obtained through regression analysis of the monitoring data, and the mathematical relationship between it and the design parameters of the axial flow pump is: ff sthe s tt rr ii kk ee == &lsqb;&lsqb; aa ll nno (( LL ff ii sthe s hh dd )) ++ bb &rsqb;&rsqb; (( vv aa -- 4.84.8 )) vv aa == &Integral;&Integral; RR 11 RR 22 vv RR 22 -- RR 11 dd rr 其中,a、b为常系数,Lfish为鱼类长度,d为轴流泵叶片前缘厚度,va为平均撞击速度,v为叶片前缘任一点撞击速度;Among them, a and b are constant coefficients, L fish is the length of the fish, d is the thickness of the leading edge of the axial flow pump blade, v a is the average impact velocity, and v is the impact velocity of any point on the leading edge of the blade; S5:根据步骤S3和步骤S4得到鱼类存活率C和轴流泵设计参数的数学模型为C=1-PstrikefstrikeS5: According to step S3 and step S4, the mathematical model of fish survival rate C and axial flow pump design parameters is obtained as C=1-P strike f strike . 3.根据权利要求2所述的一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,其特征在于,所述步骤S4中,叶片前缘任一点撞击速度v取垂直于前缘的速度分量,分别取叶片圆周速度垂直前缘方向的分量与液流轴向速度垂直前缘方向的分量进行向量叠加,即 v = | &omega; &RightArrow; r c o s &alpha; + v &RightArrow; m 1 c o s &beta; | ; 3. The design method of a fish-friendly axial flow pump based on fish survival rate prediction according to claim 2, characterized in that, in the step S4, the impact velocity v at any point on the leading edge of the blade is taken to be perpendicular to the front The velocity components of the blade edge are respectively taken as the components of the blade peripheral velocity perpendicular to the leading edge direction The component perpendicular to the leading edge direction of the axial velocity of the liquid flow Do vector superposition, that is, v = | &omega; &Right Arrow; r c o the s &alpha; + v &Right Arrow; m 1 c o the s &beta; | ; 其中:为角速度矢量,r为前缘任一点半径,α为叶片切向速度方向与垂直前缘方向的夹角,为液流轴向速度矢量,β为轴面投影图上液流轴向速度方向与垂直前缘方向的夹角。in: is the angular velocity vector, r is the radius of any point on the leading edge, α is the angle between the blade tangential velocity direction and the direction perpendicular to the leading edge, is the axial velocity vector of the liquid flow, and β is the angle between the axial velocity direction of the liquid flow and the direction perpendicular to the front edge on the axial plane projection. 4.根据权利要求1所述的一种基于鱼存活率预测的鱼类友好型轴流泵的设计方法,其特征在于,4. the design method of a kind of fish-friendly axial-flow pump based on fish survival rate prediction according to claim 1, is characterized in that, 所述鱼类友好型轴流泵采用两叶片叶轮,叶片前缘(2)线性前掠前伸,前掠程度满足前掠形式k1为前掠角α随前缘半径R的变化率,并且此处满足前伸程度E满足0.2R2<E<0.4R2,前伸形式k2为前缘上各点轴向距离L随半径R的变化率,并且此处满足k2=E/(R2-R1),其中R1和R2分别为叶片前缘轮毂处和轮缘处的半径;所述鱼类友好型轴流泵叶片不同截面翼型弦长l取值在轮毂处为1.6R2,线性增加到轮缘处的3R2The fish-friendly axial flow pump adopts a two-blade impeller, and the leading edge (2) of the blade is linearly swept forward, and the degree of forward sweep satisfy The forward sweep form k 1 is the rate of change of the forward sweep angle α with the leading edge radius R, and here satisfies The degree of forward extension E satisfies 0.2R 2 <E<0.4R 2 , the forward extension form k 2 is the rate of change of the axial distance L of each point on the leading edge with the radius R, and k 2 =E/(R 2 - R 1 ), where R 1 and R 2 are the radii at the hub and rim of the leading edge of the blade respectively; the chord length l of the airfoil of different sections of the fish-friendly axial flow pump blade is 1.6R 2 at the hub , increasing linearly to 3R 2 at the rim; 叶片不同截面处液流轴向速度为容积效率ηv取定值0.98,叶片排挤系数ψ取值在轮毂处为0.87线性增加到轮缘处的0.95;The axial velocity of the liquid flow at different sections of the blade is The volumetric efficiency η v takes a fixed value of 0.98, and the value of the blade displacement coefficient ψ increases linearly from 0.87 at the hub to 0.95 at the rim; 叶片不同截面处叶片出口液流圆周速度分量为采用1.5~1.7倍设计扬程H,水力效率ηh取值由轮毂处的0.9线性减少到轮缘处的0.86,环量修正系数ξ由轮毂处的0.8线性增加到中间截面处的1,再线性增加到轮缘处的1.25;The circumferential velocity component of the blade outlet liquid flow at different sections of the blade is Using 1.5 to 1.7 times the design head H, the value of hydraulic efficiency η h decreases linearly from 0.9 at the hub to 0.86 at the rim, and the circulation correction factor ξ linearly increases from 0.8 at the hub to 1 at the middle section, and then linearly Increased to 1.25 at the rim; 所述叶片进口角叶片进口角附加角度在轮毂处为1°线性增加到3°;叶片出口角叶片出口角附加角度恒为1°;叶弦角βL=(β12)/2;其中:u为叶片圆周速度,vm1为叶片进口液流轴向速度分量,vm2为叶片出口液流轴向速度分量,vu2为叶片出口液流圆周速度分量;The blade inlet angle The blade inlet angle additional angle increases linearly from 1° to 3° at the hub; the blade outlet angle The additional angle of the blade outlet angle is always 1°; blade chord angle β L = (β 12 )/2; where: u is the peripheral speed of the blade, v m1 is the axial velocity component of the blade inlet liquid flow, and v m2 is the blade The axial velocity component of the outlet liquid flow, v u2 is the circumferential velocity component of the blade outlet liquid flow; 根据前缘前掠程度前掠形式k1、前伸程度E以及前伸形式k2,在翼型展开图中将翼型作相应的偏移以形成线性前掠前伸的叶片前缘。According to the degree of leading edge sweep For the forward-swept form k 1 , the degree of forward extension E and the forward-extended form k 2 , the airfoil is offset accordingly in the airfoil development diagram to form a linear forward-swept forward-extended blade leading edge.
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