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| 1 | 水泵水轮机在水轮机工况下压力脉动特性显示文摘为了研究水泵水轮机在水轮机工况下的压力脉动特性,采用SST k-ω湍流模型对模型水泵水轮机在水轮机工况下的三维非定常湍流进行模拟.在试验验证的基础上,通过调整活动导叶的开度以实现机组不同的运行工况,分析了3种流量工况下导叶、转轮和尾水管内的压力脉动规律.结果表明,尾水涡带形态和旋转方向对机组压力脉动的影响很大:在小流量工况下,尾水涡带为螺旋状,旋转方向与转轮转动方向相同,转轮出口产生强烈的低频压力脉动,转轮叶片上的压力脉动频率约为转轮转频的0.62倍,尾水管压力脉动主频约为转轮转频的0.36倍;在最优工况和大流量工况下,尾水涡带变为管状,转轮出口压力脉动幅值变小,在转轮叶片表面检测到与尾水管压力脉动主频相同的压力脉动;大流量工况下涡带旋转方向与转轮旋转方向相反,尾水管内压力脉动的最大值出现在弯肘段区域. | 钱忠东 陆杰 郭志伟 张建军 | 2016 | 排灌机械工程学报2016，34，8： | 28 |
| 2 | 时序效应对导叶式离心泵内部压力脉动影响的数值分析显示文摘为了研究时序效应对导叶式离心泵内部非定常压力脉动的影响,基于雷诺时均(Reynolds averaged Navier-Stokes,RANS)方程,在0.6Qd、1.62Qd两个非设计工况下,应用SST k-ω湍流模型对导叶在一个栅距内的5个不同时序位置下泵内部流动进行三维非定常数值计算,得到导叶和蜗壳流道内压力脉度强度分布随不同导叶时序位置的变化规律,结果表明,导叶时序效应对叶轮与导叶的动静干涉引起的压力脉动强度影响较明显;在导叶靠近进口的吸力面区域和导叶喉部区域存在着较大的压力脉动强度;压力脉动强度沿着导叶流道向下游传播并逐渐减弱;导叶时序效应对蜗壳平面的压力脉动强度影响非常明显,压力脉动强度呈现不规律分布;当在小流量0.6Qd工况时,当导叶时序位置为C3时,导叶内压力脉动强度最大值为0.44,而当导叶时序位置为C2和C4时,压力脉动强度最大值分别为0.24和0.22;当在大流量1.62Qd工况时,当时序位置为C2时,压力脉动强度最大值为0.87,而当时序位置为C1和C4时,压力脉动强度最大值为分别为0.72和0.77;在非设计工况下,蜗壳内的压力脉动强度相对导叶的压力脉强度较弱。C4时序位置能减小余热排出泵运行中的压力脉动强度,从而提高泵的稳定性,为导叶的安装位置提供参考。 | 王文杰 袁寿其 裴吉 张金凤 袁建平 | 2015 | 机械工程学报2015，51，4： | 25 |
| 3 | 轴流泵内部压力脉动数值预测及分析显示文摘基于RANS方程和RNG k-ε模型,采用Ansys-CFX软件对轴流泵泵段进行了多工况三维非定常数值模拟,得到了不同工况下轴流泵内部不同监测点的水流压力脉动值,分析了轴流泵内部不同监测点水流压力脉动的变化趋势,并预测了叶轮进口前由于叶轮转动引起的压力脉动影响范围.通过与实测扬程和效率比较,表明了数值模拟方法的可行性及可靠性.研究结果表明:轴流泵内部压力脉动频率主要受叶轮转动频率控制,较大压力脉动发生在叶轮进口前;叶轮进口处压力脉动从轮毂到轮缘逐渐增大,叶轮出口处压力脉动从轮毂到轮缘先减小后增大,导叶后压力脉动从轮毂到轮缘先增大后减小;小流量工况及大流量工况下压力脉动幅值较最优工况大;受叶轮转动影响,叶轮进口前压力脉动影响至叶轮中心前0.7D左右. | 汤方平 张丽萍 付建国 谢荣盛 杨宁 齐立龙 | 2013 | 排灌机械工程学报2013，31，10： | 23 |
| 4 | 不同叶片出口角下离心泵压力脉动及径向力分析显示文摘在试验结果和数值模拟吻合良好的基础上,开展叶片出口角对离心泵压力脉动以及径向力影响的研究。本文以两级矿用潜水离心泵为研究对象,建立4组不同叶片出口角叶轮模型,通过数值模拟获得离心泵外特性,叶轮、导叶、蜗壳的压力脉动分布及叶轮径向力特性,并进行对比分析。结果表明:离心泵内压力脉动呈周期性,当β2=16°和20°时叶轮出口压力脉动强度较大。随着叶片出口角增大,导叶和蜗壳内压力脉动均逐渐增强,且导叶内压力脉动强度大于蜗壳,不同叶片出口角下,导叶及蜗壳内脉动主频均为叶频。叶片出口角的改变也会对叶轮径向力矢量分布产生一定影响,随着β2增大,叶轮径向力逐渐增大,且首级叶轮轴向力大于次级叶轮,蜗壳比导叶有更好地改善叶轮轴向力的作用。 | 张忆宁 曹卫东 姚凌钧 姜昕 | 2017 | 流体机械2017，45，11： | 22 |
| 5 | Pressure fluctuation propagation of a pump turbine at pump mode under low head condition显示文摘Pressure fluctuation at the vaneless space and vanes passages is one of the most important problems for the stable operation of a pump turbine.The fluctuation appears in any operating condition.Much research has been done on the pressure fluctuation of hydraulic machinery.However,the details of pressure fluctuation propagation of the pump turbine at the pump mode have not been revealed.The modern pump turbine with high water head requires the runner to be'flat',which would induce pressure fluctuation more easily than the low head pump turbine.In this article,a high head pump turbine model is used as the research object.As the pressure fluctuation at off-design point is more serious than at the design point,the low head condition is chosen as the research condition.Pressure fluctuation at the vaneless space and vanes passages is predicted by the computational fluid dynamics method based on k-?shear stress transport model.The experiment conducted on the test rig of the Harbin Institute of Large Electrical Machinery is used to verify the simulation method.It proves that the numerical method is a feasible way to research the fluctuation under this operating condition.The pressure fluctuation along the passage direction is analyzed at time and frequency domains.It is affected mainly by the interaction between the runner and vanes.In the circumferential direction,the influence of the special stay vane on the pressure fluctuation is got.The amplitude in the high-pressure side passage of that vane is lower than that in the other side.The study provides a basic understanding of the pressure fluctuation of a pump turbine and could be used as a reference to improve the operation stability of it. | GUO Lei LIU JinTao WANG LeQin QIN DaQing WEI XianZhu | 2014 | Science China(Technological Sciences)2014，57，4： | 19 |
| 6 | 水泵水轮机泵工况的压力脉动特性显示文摘为研究水泵水轮机在水泵工况时不同操作条件下的水力不稳定性,应用计算流体动力学软件Fluent分别对水泵水轮机三维全流道的设计工况、大流量工况和小流量工况进行非定常计算,同时监测了蜗壳进口、转轮与活动导叶之间、转轮与顶盖之间以及尾水管处的压力脉动.结果表明:水泵水轮机在水泵工况下压力脉动幅值最大的位置位于转轮与活动导叶之间的无叶区,转轮与顶盖之间的压力脉动次之,而蜗壳和尾水管处的压力脉动则比较小;在设计工况下压力脉动幅值最小,并且越偏离最优工况压力脉动的幅值越大;位置不同,影响水力稳定性的主频也不相同,转轮与活动导叶之间压力脉动的主频为叶片通过频率,转轮与顶盖之间的压力脉动的主频为转频的倍数,尾水管处压力脉动同时受叶片通过频率和低频的影响,而蜗壳进口处的压力脉动则主要受低频影响. | 王乐勤 刘迎圆 刘万江 覃大清 焦磊 | 2013 | 排灌机械工程学报2013，31，1： | 18 |
| 7 | 水泵水轮机泵工况压力脉动和转轮受力特性显示文摘为研究水泵水轮机在泵工况下的内部流态变化对压力脉动和转轮叶片受力的影响,采用SAS-SST湍流模型对某一模型水泵水轮机的多个非设计工况进行非定常数值模拟,分析了水轮机内部流态对导叶与转轮之间无叶区、尾水管内的压力脉动和转轮叶片径向受力的影响。结果表明:在流量为40%~80%设计流量时,导叶区内产生旋转失速,转失速涡团初生于固定导叶进口,并随着流量的降低向活动导叶进口发展,且覆盖区域逐渐增大。旋转失速使压力和过流沿周向不均匀分布,导致压力脉动和转轮径向受力波动大幅上升。在40%设计流量时,失速涡团发展最为充分,无叶区压力脉动和转轮受力波动的低频分量幅值最高。旋转失速产生的低频脉动可向尾水管传播,形成的低频压力脉动幅值约为无叶区低频脉动幅值的10%。当流量低于40%设计流量时,导叶区旋转失速消失,复杂的涡结构形成的压力脉动低频成分没有周期性。此外,转轮进口的流动分离使尾水管内产生复杂的回流涡结构,导致尾水管内形成频谱丰富的压力脉动;流量降低使转轮进口回流涡结构的湍动能增加,导致尾水管内压力脉动幅值大幅上升。小流量工况下,转轮进口的涡结构演变是转轮径向力波动的主要影响因素。 | 肖琼 张春泽 夏林生 刁伟 | 2020 | 水利水电技术2020，51，7： | 11 |
| 8 | 低水头下水泵水轮机水轮机工况压力脉动研究显示文摘基于Realizable k-ε湍流模型,对某蓄能电站模型水泵水轮机进行几何建模,设定压力脉动监测点,进行三维全流道水轮机工况非定常数值计算,分析导叶开度为29mm,33mm,37mm和41mm四个工况下各监测点的压力变化,并与模型试验结果进行对比,研究水泵水轮机在低水头下的压力脉动特性。结果表明:Realizable k-ε湍流模型对低水头下水泵水轮机压力脉动的数值模拟可行,在大开度工况时更加精确;导叶开度为29mm时水泵水轮机内部监测点压力脉动最强,随着导叶开度的增加压力脉动在逐渐的减弱;转轮旋转形成的"活动导叶-转轮-尾水管"两级动静干涉,使活动导叶与转轮之间无叶区内监测点的压力脉动时域图呈现周期性变化规律,对应主频为叶频,尾水管锥管段时域图也呈现周期性变化,并在其频域图叶频处出现一个峰值;肘管内监测点压力脉动由于尾水涡带的影响主频为0.17~0.56倍转频的低频分量。 | 李仁年 谭海燕 李琪飞 韩伟 蒋雷 | 2015 | 水力发电学报2015，34，8： | 10 |
| 9 | 异常低水头对水泵水轮机压力脉动的影响显示文摘为研究水泵水轮机在异常低水头时的压力脉动特性,采用Realizable k-ε湍流模型对水泵水轮机运行于低水头的4个工况点进行了非定常数值计算,得到了蜗壳进口、导叶后转轮前、尾水管的锥管上游和肘管内侧4个监测点的压力信号,并与试验结果进行对比.重点考察了导叶开度37 mm、单位流量0.865 m3/s工况点的压力脉动时域和频域特征.研究结果表明:在异常低水头下,Realizable k-ε湍流模型能够精确地模拟大开度时水泵水轮机的压力脉动;蜗壳入口的压力脉动比较紊乱,在机组刚开启阶段脉动值较大,蜗壳进口压力脉动主频为转频19.78 Hz,说明在此工况下水泵水轮机蜗壳进口的压力脉动受到下游转轮转动的影响;导叶与转轮之间无叶区的压力脉动受到转轮与活动导叶之间的动静干涉作用,呈周期性变化且其主频为叶片通过频率;由于尾水管内部流动及涡带的作用,尾水管内的压力脉动为低频脉动,其主频约为0.35倍转频. | 李琪飞 谭海燕 李仁年 蒋雷 吕文娟 | 2016 | 排灌机械工程学报2016，34，2： | 9 |
| 10 | 水泵水轮机运行中的若干典型过渡过程显示文摘为了深入研究水泵水轮机不良过渡过程对机组产生的不利影响及其相应的改善措施,综述了水泵水轮机特性曲线的特有性质和重要的典型过渡过程的研究进展.详细说明了水泵水轮机过渡过程中的迟滞现象,发现水泵水轮机的运行工况点不仅与系统的当前输入有关,而且与系统过去的历史有关,因此在特定区域内水泵水轮机在同一转速时对应的流量并不相同,从而导致水泵水轮机机组的水头下降、效率降低、机组振动和产生噪声.综述了迟滞现象产生的条件,转速的影响以及改变转轮叶片进口角和叶片后掠角等改善措施;转轴应力测量的试验研究进展以及转轮叶片和导叶间的动静干涉对动态应力测量信号分析的影响,给出了相关现象的主要特征和影响因素;指出了针对水轮机启动时的空载不稳定现象和导叶关闭时的不稳定现象可采取的改善措施,并比较了各种方法的优越性和弊端. | 刘凯华 张宇宁 冼海珍 | 2015 | 排灌机械工程学报2015，33，10： | 9 |
| 11 | S形轴伸贯流泵装置时变湍流场的脉动特性分析显示文摘为研究S形轴伸贯流泵装置时变湍流场内部压力脉动规律,应用CFD技术对S形轴伸贯流泵装置流道内部流动开展了三维非定常数值模拟,并将泵装置性能预测结果与模型试验结果进行了对比。获取了3种特征工况(小流量工况KQ=0.368,高效工况KQ=0.460,大流量工况KQ=0.552)时泵装置流道内部关键位置处21个监测点的压力脉动信息,并对其进行了时域和频谱分析。结果表明:进水流道出口处水流的脉动以叶片通过的频率为主,压力脉动幅值从流道壁面侧向轮毂侧逐渐减小。流量系数KQ从0.368增至0.552时,进水流道出口各监测点的脉动幅值随之减小。出水流道弯管段进口的平均压力系数幅值与流道中部的平均压力系数幅值相差不大,最大差值仅为0.0005,水流诱发的出水流道内部压力脉动较小。受导叶体出口环量的影响,相同流量系数时出水流道内各监测点的脉动主频差异较大,不同流量系数时相同测点的脉动主频也略有差异。 | 杨帆 刘超 汤方平 周济人 成立 | 2015 | 水力发电学报2015，34，2： | 7 |
| 12 | Unstable flow characteristics in a pump-turbine simulated by a modified Partially-Averaged Navier-Stokes method显示文摘Positive slope characteristics are very important for the safe and stable operation of a pump-turbine. In this study, the unsteady flows in a pump-turbine at pump mode are investigated numerically. To predict the positive slope characteristics with an improved accuracy, a modified Partially-Averaged Navier-Stokes(MPANS) model is employed to capture the unstable physics in a pump-turbine. It is confirmed that the present numerical method predicts the positive slope characteristics in the pumpturbine fairly well compared with the experimental data. It is noted that at the drooping point of the performance curve(positive slope), there are three sets of rotating stall cells in the flow passages of both the guide vanes and stay vanes. In the guide vane region, the flow is completely shut off by the rotating stall, whereas in the stay vane region, the flow passage is partly blocked at the drooping point. The numerical results also reveal that the remarkable variation and high angle of attack(AOA) values upstream the leading edge of the guide vane contribute to the flow separation at the vane suction side and induce rotating stall in the flow passage within the positive slope region. Furthermore, the propagation of the rotating stall is depicted by both Eulerian and Lagrangian viewpoints: the rotating stall blocks the flow passage between two neighboring guide vanes and pushes the flow toward the leading edge of the subsequent guide vane. The rotating stall cell shifts along the rotational direction with a much lower frequency(0.146 f_n) compared with the runner rotational frequency, f_n. | YANG Dandan LUO XianWu LIU DeMin HUANG RenFang ZHU ZuChao | 2019 | Science China(Technological Sciences)2019，62，3： | 7 |
| 13 | 水泵水轮机水轮机工况全流道三维非定常数值模拟显示文摘为了研究水泵水轮机水轮机工况下的内部流场及压力脉动特性,对某蓄能电站的水泵水轮机几何建模,采用RNG k-ε模型和SIMPLE算法,对水泵水轮机水轮机工况时三维全流道的空载工况、25%负荷工况、50%负荷工况、75%负荷工况、额定工况及满负荷工况进行三维非定常模拟;同时,监测蜗壳入口、活动导叶之间、导叶与转轮之间无叶区,以及尾水管直锥段和弯肘段的压力脉动情况.结果表明:空载等低负荷工况下,活动导叶出口出现射流,使导叶与转轮间无叶区流场恶化及转轮叶片进水边附近产生涡结构,随负荷增加而缓解;50%负荷工况下,尾水涡带有多分支相互缠绕,导叶与转轮间无叶区受动静干涉高频脉动的影响,尾水管区域受尾水涡带低频脉动影响,且各自向上、下游传播;额定工况下,P1至P5测点压力脉动的压力呈现阶梯依次降低,转轮前、后部分转轮与导叶间无叶区测点P3、尾水管锥段测点P4的脉动压力值出现很大的落差;各工况下导叶与转轮间无叶区脉动频率不变,各频率幅值随负荷增加而增大. | 韩冬冬 于凤荣 张思青 | 2017 | 排灌机械工程学报2017，35，4： | 7 |
| 14 | 水泵水轮机增负荷过程尾水管内流场分析显示文摘为了研究水泵水轮机增负荷过程中尾水管内的瞬态流动特性,基于Fluent动网格模型对模型水泵水轮机增负荷过程进行了全流道数值模拟.根据模拟结果,重点分析了尾水管内流场结构的演变过程.结果表明:负荷增加过程中,尾水管内锥管段至肘管段末端的压力变化规律基本相似.静压值的突增和剧烈波动过程仅发生在开度变化的初始阶段(0—0.9s).当0.9s以后,波动平均值不超过9.76kPa,静压基本保持稳定;此外,发现开度较小时尾水管内存在明显的涡带和回流涡结构,容易导致机组运行的不稳定;随着开度的增大,尾水管内流态逐渐平稳,说明流量的增大会使得尾水管内流动更加流畅. | 李仁年 蒋雷 李琪飞 韩伟 刘保福 | 2015 | 排灌机械工程学报2015，33，1： | 7 |
| 15 | 下迷宫压力脉动对抽水蓄能机组稳定性的影响分析显示文摘水泵水轮机组的运行稳定性对抽水蓄能电站的安全高效运行至关重要。对广蓄A厂抽水蓄能机组发电工况进行了稳定性试验,深入分析了各工况下迷宫压力脉动、顶盖振动和水导轴承摆度信号之间的关系。结果表明:转频、转轮叶片通过频率及尾水管内的低频旋转涡带是引起下迷宫压力脉动的关键频率;下迷宫压力脉动信号与顶盖振动、水导轴承摆度信号高度相干,对抽水蓄能机组水平和垂直两个方向的振摆都有重要影响。 | 姚泽 支发林 阎宗国 黄青松 毕慧丽 王正伟 | 2014 | 农业机械学报2014，45，11： | 5 |
| 16 | 异常低水头下水泵水轮机压力脉动特性分析显示文摘为了研究水泵水轮机在异常低水头下内部流动的压力脉动特性,以某抽水蓄能电站模型水泵水轮机为研究对象,基于大涡模拟方法,对模型机组进行全流道非定常数值计算.结合试验数据,分析异常低水头下流道内不同位置处压力脉动特征和流态特征,讨论流量变化对机组压力脉动特性的影响.结果表明:异常低水头下,压力脉动主要由'导叶-转轮-尾水管'之间的两级动静干涉以及肘管段结构弯曲引起水流撞击等因素共同引起;流量变化对导叶后转轮前压力脉动的频率和幅值影响不大,仅在小流量区有所区别;尾水管内压力脉动的低频值和幅值受流量变化的影响较大,而高频值则在各种流量状况下均未出现.与正常运行工况相比,水泵水轮机在异常低水头工况下的压力脉动特性明显增强,对机组的稳定性和安全性造成了十分不利的影响. | 李琪飞 刘超 王源凯 权辉 | 2017 | 兰州理工大学学报2017，43，2： | 5 |
| 17 | Experimental study of the flow field of a high head model pump turbine based on PIV technique显示文摘Pumped storage units are the main parts in China’s power construction,as a hot issue concerned by the industry.The pump turbine involves the two-way flows and a multiple condition operation,and its operation flow pattern is very complex.The particle image velocimetry(PIV)is a very effective test technique to determine the internal flow field of pump turbines.This paper discusses the key problems of the pump turbine,based on the PIV experiments under typical conditions of the pump turbine,especially for problems such as the S-shape problem,the hump problem,the pressure fluctuation problem and the cavitation problem.In the internal flow fields under typical conditions are determined.The vortices induced and their development are observed in the PTV test.The flow phenomenon is shown at each operating point.The typical problems of the pump turbine are closely related to the vortex distribution in the internal flow field.From the PIV test results under several working conditions and from the comparisons between the optimal condition and the part load condition,it is seen that the vortex distributions are very different.Vortices at the vane-less area between the guide vane and the runner are closely related to the strong pressure pulsation,the first hump and the S-shape curve.From the PIV results of the cavitation working points,it is seen that the flow angle is changed in the vane-less region and the runner leading edge because of the cavitation bubbles and that the flow angle deviates from the optimal setting angle.From the computational fluid dynamics(CFD)result of the second hump working points,it is concluded that the vortex shedding on the runner leading edge is the main cause of the second hump. | De-min Liu Wei-lin Xu Yong-zhi Zhao | 2021 | Journal of Hydrodynamics2021，33，5： | 5 |
| 18 | 无导叶离心泵蜗壳内低频压力脉动分析显示文摘为探究无导叶离心泵蜗壳内低频脉动的产生机理及该低频脉动对蜗壳内各监测点压力脉动的影响,采用计算流体动力学(Computational fluid dynamics,CFD)技术,在与试验结果对比分析验证模型计算精度的基础上,进行3个不同工况下的非定常压力脉动计算,其中湍流模型选用剪切应力输运(Shear stress transport,SST)模型,分析结果表明,蜗壳出口段因流线扭曲会产生一个低频脉动,出口段测点的主频等于该脉动的频率,且该低频脉动会对蜗壳内其余测点产生近乎一致的影响,使各点在该频率下具有相近的压力系数,其值与出口段的流动分离直接相关;各点脉动存在两个明显频率:低频与叶频;蜗壳隔舌附近的横截面上存在因流线扭曲产生的漩涡,其频率即为蜗壳出口段低频脉动的主频,从而证明因流线扭曲产生的漩涡为低频脉动产生的根本原因。 | 黄先北 刘竹青 | 2014 | 机械工程学报2014，50，10： | 5 |
| 19 | Numerical Study of Pressure Pulsation of Centrifugal Pumps with the Compressible Mode显示文摘The compressible effect of water is often neglected in the simulation of hydraulic machinery. However, based on experimental and numerical study, it is found that the compressibility of water could influence the magnitude of the pressure pulsation at some frequency in the pump. Therefore, in order to investigate the influence of water compressibility, compressible model is established by using Tait equation. The internal flow of centrifugal pump under different conditions is calculated by this model. The calculated results are compared with the incompressible results, and it is indicated that the compressibility of water has little effect on the performance parameters. But it affects the amplitude of pressure fluctuations at some discrete frequency, especially at the outlet of impeller and volute tongue where significant jet-wake and rotor/stator interaction appears respectively. Meanwhile, water compressibility makes greater influence on the flow pulsation under off-design condition. Therefore, it is necessary to consider the compressibility of working medium in the numerical simulation of unsteady flow in centrifugal pumps, especially in area with strong unsteady flow and at off-design condition. | YANG Jun LIU Jun LIU Xiaohua XIE Tian | 2019 | Journal of Thermal Science2019，28，1： | 5 |
| 20 | Entropy Production Analysis for Hump Characteristics of a Pump Turbine Model显示文摘The hump characteristic is one of the main problems for the stable operation of pump turbines in pump mode.However,traditional methods cannot reflect directly the energy dissipation in the hump region.In this paper,3D simulations are carried out using the SST k-ω turbulence model in pump mode under different guide vane openings.The numerical results agree with the experimental data.The entropy production theory is introduced to determine the flow losses in the whole passage,based on the numerical simulation.The variation of entropy production under different guide vane openings is presented.The results show that entropy production appears to be a wave,with peaks under different guide vane openings,which correspond to wave troughs in the external characteristic curves.Entropy production mainly happens in the runner,guide vanes and stay vanes for a pump turbine in pump mode.Finally,entropy production rate distribution in the runner,guide vanes and stay vanes is analyzed for four points under the 18 mm guide vane opening in the hump region.The analysis indicates that the losses of the runner and guide vanes lead to hump characteristics.In addition,the losses mainly occur in the runner inlet near the band and on the suction surface of the blades.In the guide vanes and stay vanes,the losses come from pressure surface of the guide vanes and the wake effects of the vanes.A new insight-entropy production analysis is carried out in this paper in order to find the causes of hump characteristics in a pump turbine,and it could provide some basic theoretical guidance for the loss analysis of hydraulic machinery. | LI Deyou GONG Ruzhi WANG Hongjie XIANG Gaoming WEI Xianzhu QIN Daqing | 2016 | Chinese Journal of Mechanical Engineering2016，29，4： | 4 |
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