包角对中比转速泵流场及无过载性能的影响

以D82-19-2型中比转速离心泵为研究对象,根据无过载叶轮约束公式确定叶轮设计方案,选取四种叶轮包角（150°、170°、190°和210°）开展中比转速泵流场及无过载性能的模拟研究。与实验结果相比,模拟所得扬程、效率和功率值误差不超过9%,模拟方法可行。结果表明：当叶片包角由150°增大到210°时,叶轮进口压力提高24%,低速区面积扩大至整个叶轮流道的1/3,叶片对流体的约束能力及抗汽蚀性能增强,但叶轮出口压力降低,大包角下导叶的湍流损失加剧了动能损耗;功率备用系数由1.145减小至1.025,且功率曲线出现极大值,泵的无过载特性更显著,但扬程和效率分别下降了15.4%和4.48%。研究结果为中比转速离心泵的无过载设计提供了理论依据。     

Effects of Blade Number on Characteristics of Centrifugal Pumps

The blade number of impeller is an important design parameter of pumps,which affects the characteristics of pump heavily.At present,the investigation focuses mostly on the performance characteristics of axis flow pumps,the influence of blade number on inner flow filed and characteristics of centrifugal pump has not been understood completely.Therefore,the methods of numerical simulation and experimental verification are used to investigate the effects of blade number on flow field and characteristics of a centrifugal pump.The model pump has a design specific speed of 92.7 and an impeller with 5 blades.The blade number is varied to 4,6,7 with the casing and other geometric parameters keep constant.The inner flow fields and characteristics of the centrifugal pumps with different blade number are simulated and predicted in non-cavitation and cavitation conditions by using commercial code FLUENT.The impellers with different blade number are made by using rapid prototyping,and their characteristics are tested in an open loop.The comparison between prediction values and experimental results indicates that the prediction results are satisfied.The maximum discrepancy of prediction results for head,efficiency and required net positive suction head are 4.83%,3.9% and 0.36 m,respectively.The flow analysis displays that blade number change has an important effect on the area of low pressure region behind the blade inlet and jet-wake structure in impellers.With the increase of blade number,the head of the model pumps increases too,the variable regulation of efficiency and cavitation characteristics are complicated,but there are optimum values of blade number for each one.The research results are helpful for hydraulic design of centrifugal pump.     

基于正交设计法的中比转速泵无过载优化设计

以D82-19-2型中比转速离心泵为研究对象,选取导叶喉部面积、叶片数、叶片包角、叶轮出口直径、叶轮出口宽度、叶片出口角、叶轮进口直径7个参数为变量,运用正交设计法制定七因素三水平正交方案L18(37),借助数值模拟方法对泵的性能进行预测,通过分析得到了几何参数对中比转速离心泵性能影响的主次顺序:叶片数对扬程和效率的影响起主要作用,叶片包角对轴功率的影响起主要作用;正交优化方案的数值模拟结果表明,该方案既满足无过载性能的要求,又保持了较高的效率,可为中比转速离心泵无过载设计提供参考。     

基于CFX正交试验的深井离心泵导叶的优化设计

为提高深井离心泵的水力性能,针对100QJ16型深井泵,按照L9(34)正交表,选取空间导叶的进口冲角、包角、叶片出口安放角和叶片数等4个因素,每个因素取3个水平,设计出9个导叶模型,并分别与同一个叶轮装配。基于CFX软件,对两级模型泵进行了全流场数值模拟,获得9组方案在额定工况下的扬程和效率。采用极差分析法分析了各几何参数对扬程和效率的影响规律以及影响空间导叶性能的主要因素和次要因素。空间导叶进口冲角和叶片包角对两级泵的扬程和效率的影响较大。将优化方案进行了样机试验,其效率达到了设计要求。     

叶片参数对离心泵关死点性能影响的试验分析

一直以来离心泵关死点扬程和功率都无法通过理论计算获得。以某比转数为92.7的离心泵为研究对象,试验测试了不同叶片出口角、叶片出口宽度和叶片数下关死点扬程和功率的变化规律。试验结果表明关死点扬程随着叶片出口角的增大变化较小,随着片出口宽度的增加一直增加,随着叶片数增加先减小后增大;3个参数对关死点功率的影响都比较复杂;3个参数对关死点性能的影响大小顺序为叶片出口宽度最大,叶片数次之,叶片数最小。研究结果对于现代离心泵的设计具有比较重要的参考意义。     

Application of different surrogate models on the optimization of centrifugal pump

An optimization process for impellers was carried out based on numerical simulation, Latin hypercube sampling (LHS), surrogate model and Genetic algorithm (GA) to improve the efficiency of residual heat removal pump. The commercial software ANSYS CFX 14.5 was utilized to solve the Reynolds-averaged Navier-Stokes equations by using the Shear stress transport turbulence model. The impeller blade parameters, which contain the blade inlet incidence angle Δβ, blade wrap angle φ, and blade outlet angle β ₂, were designed by random sample points according to the LHS method. The efficiency predicted under the design flow rate was selected as the objective function. The best combination of parameters was obtained by calculating the surrogate model with the GA. Meanwhile, the prediction accuracies of three surrogate models, namely, Response surface model (RSM), Kriging model, and Radial basis neural network (RBNN), were compared. Results showed that the calculated findings agree with the experimental performance results of the original pump. The RSF model predicted the highest efficiency, while the RBNN had the highest prediction accuracy. Compared with the simulated efficiency of the original pump, the optimization increased efficiency by 8.34% under the design point. Finally, the internal flow fields were analyzed to understand the mechanism of efficiency improvement. The optimization process, including the comparison of the surrogate models, can provide reference for the optimization design of other pumps.     

Cavitation optimization for a centrifugal pump impeller by using orthogonal design of experiment

Cavitation is one of the most important performance of centrifugal pumps. However, the current optimization works of centrifugal pump are mostly focusing on hydraulic efficiency only, which may result in poor cavitation performance. Therefore, it is necessary to find an appropriate solution to improve cavitation performance with acceptable efficiency. In this paper, to improve the cavitation performance of a centrifugal pump with a vaned diffuser, the influence of impeller geometric parameters on the cavitation of the pump is investigated using the orthogonal design of experiment(DOE) based on computational fluid dynamics. The impeller inlet diameter D_1, inlet incidence angle Δβ, and blade wrap angle φ are selected as the main impeller geometric parameters and the orthogonal experiment of L_9(3*3) is performed. Three-dimensional steady simulations for cavitation are conducted by using constant gas mass fraction model with second-order upwind, and the predicated cavitation performance is validated by laboratory experiment. The optimization results are obtained by the range analysis method to improve cavitation performance without obvious decreasing the efficiency of the centrifugal pump. The internal flow of the pump is analyzed in order to identify the flow behavior that can affect cavitation performance. The results show that D_1 has the greatest influence on the pump cavitation and the final optimized impeller provides better flow distribution at blade leading edge. The final optimized impeller accomplishes better cavitation and hydraulic performance and the NPSHR decreases by 0.63 m compared with the original one. The presented work supplies a feasible route in engineering practice to optimize a centrifugal pump impeller for better cavitation performance.     

PERFORMANCE CHARACTERISTICS AND VISCOUS FLOW ANALYSIS OF CENTRIFUGAL PUMPS

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Hydraulic Optimization of a Double-channel Pump’s Impeller Based on Multi-objective Genetic Algorithm

Computational fluid dynamics (CFD) can give a lot of potentially very useful information for hydraulic optimization design of pumps, however, it cannot directly state what kind of modification should b...     

叶片包角对可逆式泵性能影响的数值研究

为了有效利用能源,将泵在透平工况下运行回收高压液体能量,是节能技术的研究方向之一。叶片包角是可逆式泵设计时的主要参数之一。以比转速72的离心泵为研究对象,分别对不同叶片包角的叶轮进行了泵和透平工况的全流场数值研究。研究结果表明:对于可逆式泵,存在最佳叶片包角使泵的效率最高。随着叶片包角的增大,泵工况下的流量扬程曲线更加陡峭,轴功率逐渐减小;透平工况下的扬程、轴功率逐渐增加,流量扬程,流量轴功率特性曲线越来越陡峭。流场分析结果表明,叶片包角的增加,有效的改善了叶轮内部流场分布,使泵内部的流场分布更加均匀,研究结果对于可逆式泵的设计具有一定的指导意义。     

Influence of blade thickness on transient flow characteristics of centrifugal slurry pump with semi-open impeller

As the critical component, the impellers of the slurry pumps usually have blades of a large thickness. The increasing excretion coefficient of the blades affects the flow in the impeller resulting in a relatively higher hydraulic loss, which is rarely reported. In order to investigate the influence of blade thickness on the transient flow characteristics of a centrifugal slurry pump with a semi-open impeller, transient numerical simulations were carried out on six impellers, of which the meridional blade thickness from the leading edge to trailing edge varied from 5-10 mm, 5-15 mm, 5-20 mm, 10-10 mm, 10-15 mm, and 10-20 mm, respectively. Then, two of the six impellers, namely cases 4 and 6, were manufactured and experimentally tested for hydraulic performance to verify the simulation results. Results of these tests agreed reasonably well with those of the numerical simulation. The results demonstrate that when blade thickness increases, pressure fluctuations at the outlet of the impeller become severe. Moreover, the standard deviation of the relative velocity in the middle portion of the suction sides of the blades decreases and that at the outlet of the impeller increases. Thus, the amplitude of the impeller head pulsation for each case increases. Meanwhile, the distribution of the time-averaged relative flow angle becomes less uniform and decreases at the outlet of the impeller. Hence, as the impeller blade thickness increases, the pump head drops rapidly and the maximum efficiency point is offset to a lower flow rate condition. As the thickness of blade trailing edge increases by 10 mm, the head of the pump drops by approximately 5 m, which is approximately 10 % of the original pump head. Futhermore, it is for the first time that the time-averaged relative flow angle is being considered for the analysis of transient flow in centrifugal pump. The presented work could be a useful guideline in engineering practice when designing a centrifugal slurry pump with thick impeller blades.

     

High-efficiency design optimization of a centrifugal pump

Design optimization of a backward-curved blades centrifugal pump with specific speed of 150 has been performed to improve hydraulic performance of the pump using surrogate modeling and three-dimensional steady Reynolds-averaged Navier-Stokes analysis. The shear stress transport model was used for the analysis of turbulence. Four geometric variables defining the blade hub inlet angle, hub contours, blade outlet angle, and blade angle profile of impeller were selected as design variables, and total efficiency of the pump at design flow rate was set as the objective function for the optimization. Thirty-six design points were chosen using the Latin hypercube sampling, and three different surrogate models were constructed using the objective function values calculated at these design points. The optimal point was searched from the constructed surrogate model by using sequential quadratic programming. The optimum designs of the centrifugal pump predicted by the surrogate models show considerable increases in efficiency compared to a reference design. Performance of the best optimum design was validated compared to experimental data for total efficiency and head.     

OPTIMIZATION METHOD ON IMPELLER MERIDIONAL CONTOUR AND 3D BLADE

An optimization method for 3D blade and meridional contour of centrifugal or mixed-flow impeller based on the 3D viscous computational fluid dynamics (CFD) analysis is proposed. The blade is indirectly parameterized using the angular momentum and calculated by inverse design method. The design variables are separated into two categories: the meridional contour design variables and the blade design variables. Firstly, only the blade is optimized using genetic algorithm with the meridional contour remained constant. The artificial neural network (ANN) techniques with the training sample data schemed according to design of experiment theory are adopted to construct the response relation between the blade design variables and the impeller performance. Then, based on the ANN approximated relation between the meridional contour design variables and impeller performance, the meridional contour is optimized. Fewer design variables and less calculation effort is required in this method that may be widely used in the optimization of three-dimension impellers. An optimized impeller in a mixed-flow pump, where the head and the efficiency are enhanced by 12.9% and 4.5% respectively, confirms the validity of this newly proposed method.     

Numerical simulation and analysis of solid-liquid two-phase flow in centrifugal pump

The flow with solid-liquid two-phase media inside centrifugal pumps is very complicated and the relevant method for the hydraulic design is still immature so far.There exist two main problems in the operation of the two-phase flow pumps,i.e.,low overall efficiency and severe abrasion.In this study,the three-dimensional,steady,incompressible,and turbulent solid-liquid two-phase flows in a low-specific-speed centrifugal pump are numerically simulated and analyzed by using a computational fluid dynamics(CFD) code based on the mixture model of the two-phase flow and the RNG k-two-equation turbulence model,in which the influences of rotation and curvature are fully taken into account.The coupling between impeller and volute is implemented by means of the frozen rotor method.The simulation results predicted indicate that the solid phase properties in two-phase flow,especially the concentration,the particle diameter and the density,have strong effects on the hydraulic performance of the pump.Both the pump head and the efficiency are reduced with increasing particle diameter or concentration.However,the effect of particle density on the performance is relatively minor.An obvious jet-wake flow structure is presented near the volute tongue and becomes more remarkable with increasing solid phase concentration.The suction side of the blade is subject to much more severe abrasion than the pressure side.The obtained results preliminarily reveal the characteristics of solid-liquid two-phase flow in the centrifugal pump,and are helpful for improvement and empirical correction in the hydraulic design of centrifugal pumps.     

不同叶片冲角离心泵内流诱导振动噪声研究

基于离心泵流动诱导振动噪声的试验测试系统,测量了不同叶片进口冲角模型泵在全流量范围内的振动和噪声信号并对其进行了处理和分析。研究结果表明:叶片进口冲角存在一个最优值,使离心泵的性能最佳;模型泵内部流动诱导的振动对泵体的影响最大,随着叶片进口冲角的增加,在各流量下模型泵噪声信号的轴频和叶频能量峰值均没有明显变化规律,但当叶片进口冲角为9°时,在1750～2250Hz频段内的噪声信号消失。     

串列式双级轴流泵性能的数值模拟

为了揭示串列泵的内部流动机理及其能量特性,采用两个具有试验结果的轴流式叶轮和一新设计的导叶串联组成了一串列式轴流泵模型。应用Pro-E对该串列泵进行三维实体造型,用数值模拟的方法计算泵内的流场。数值计算采用NUMECA商业软件。在不同的工况条件下获得前后叶轮内部的速度矢量分布。基于流场计算结果,预测包括扬程、效率和轴功率在内的串列泵性能。将数值计算的结果与原叶轮的试验结果进行对比并与首级叶轮比较,串列轴流泵次级叶轮压力面和吸力面的速度具有较大的差值。与一般的轴流泵比较,串列式轴流泵具有比较宽的高效区,最优工况点向大流量区域偏移,其轴功率不再像普通轴流泵那样随流量的增加而减小。为了分析前后叶轮的相互作用,预测不同的后叶轮叶片偏转角条件下的串列泵性能,结果表明后叶轮的叶片偏转角对串列泵性能有重大的影响。     

Multiparameter optimization for the nonlinear performance improvement of centrifugal pumps using a multilayer neural network

To increase efficiency at the design point of a centrifugal pump, this study adopted an artificial neural network in the construction of an accurate nonlinear function between the optimization objective and the design variables of impellers. Modified particle swarm optimization was further applied to refine the mathematical model globally. The database, which consisted of 200 sets of impellers, were generated from the Latin hypercube sampling method, and their corresponding efficiencies were obtained automatically from numerical simulation. Design variables were the distributions of blade angles, and results established that the difference between the numerical performance curve and the experimental results was acceptable. Optimization with a two-layer feedforward network improved the pump efficiency at the design point by 0.454 %. Flow complexity improved as the blade curvature increased. The application of the multilayer neural network could provide a meaningful reference to single- and multi-objective optimization of complex and nonlinear pump performance.

     

EXPERIMENTAL STUDY ON HIGH-SPEED CENTRIFUGAL PUMPS WITH DIFFERENT IMPELLERS

The experimental study is carried out on high-speed centrifugal pumps with three different impellers. The experimental results and analysis show that high-speed centrifugal pumps with a closed complex impeller can achieve thehighest efficiency and the lowest head coefficient followed by those with half-open impeller and open-impeller, and canobtain much easily stable head-capacity characrastic curve, while those with a half-open complex impeller can't. Thecharacteristic curve with a open impeller is almost constant horizontal line before dropping sharply. The results also showthat the axial clearance between pump casing and impeller can influence greatly on the performance of centrifugal pumps.     

基于CFD/CA的离心泵流动诱导噪声数值预测

基于Lightill声类比理论,采用计算流体力学(Computational fluid dynamics, CFD)和计算声学(Computational acoustics, CA)相结合的算法对离心泵内部声场进行求解。基于SST k-ω湍流模型封闭雷诺时均方程,对离心泵内流场进行三维非定常计算。在流场计算的基础上采用边界元法对叶片偶极子源和蜗壳偶极子源的辐射声场进行求解,研究了蜗壳振动对声压级分布的影响,并搭建试验台对所提出的算法进行验证。结果表明,叶频及其倍频是流动诱导噪声的主要频率,隔舌附近监测点的压力脉动强度最大;声振耦合作用对声压级分布的影响不可忽略,模态振型所在的频率(580 Hz)下声振耦合作用的影响较大;泵出口场点的声压级比进口大,且均在叶频处最大,效率最高的工况点声压级最小;声场模拟和试验结果在趋势上基本吻合,最大相差3.1%,肯定了所提数值算法的预测作用,可为离心泵低噪声优化设计提供参考。