Wankel泵效率表达与换算方法研究  

Study on Efficiency Expression and Conversion Method of Wankel Pump

作　　者：刘衍顺 张霄[1,2] 周政 李相辉 邓泽城[4] 傅强 LIU Yanshun;ZHANG Xiao;ZHOU Zheng;LI Xianghui;DENG Zecheng;FU Qiang(Research Center of Geotechnical and Structural Engineering,Shandong University,Jinan 250061,China;Laoshan Laboratory,Qingdao 266237,China;Changsha Military and Civil Advanced Technology Research Company Limited,Changsha 410221,China;Jiangxi Provincial Communications Investment Group Company Limited,Nanchang 330025,China)

机构地区：[1]山东大学岩土与结构工程研究中心,山东济南250061 [2]崂山实验室,山东青岛266237 [3]长沙军民先进技术研究有限公司,湖南长沙410221 [4]江西省交通投资集团有限责任公司,江西南昌330025

出　　处：《工程科学与技术》2024年第6期239-247,共9页Advanced Engineering Sciences

基　　金：国家重点研发计划项目(2021YFB2600800);山东省自然科学基金项目(ZR2022DKX001)。

摘　　要：Wankel泵是一种基于莱洛三角形的新型回转式容积泵,可同时输出较高的流量和压力,具有较好的输送性能。关于Wankel泵的效率表达及换算理论的研究仍较少,难以通过试验室内模型泵的水力试验指导应用中原型泵的设计与生产。因此,本文提出一种基于分项参数换算法的Wankel泵效率表达与换算方法。首先,分析Wankel泵的基本构成及工作原理,根据Wankel泵的缸体型线建立转子顶点的运动轨迹、速度以及加速度计算公式。其次,基于能量守恒推导Wankel泵的扬程计算方程,并分析原型泵和模型泵在相似工况下流量和扬程的相似关系。随后,基于Wankel泵的结构特点,构建泵的机械损失、水力损失和容积损失的表达式,通过分析表达式的构成,提取各损失的损失系数,并基于流量和扬程的相似关系分析各损失系数的相似换算方法。根据损失和效率之间的换算关系,建立Wankel泵总效率表达式及相似换算公式。最后,搭建Wankel泵水力试验系统,开展不同型号、不同转速Wankel泵的水力性能测试试验,采用MATLAB遗传算法对总效率表达式进行拟合分析,并依据相似工况对相似换算公式进行验证。结果表明:在不同转速下Wankel泵总效率表达式的拟合优度均大于0.80,在相似工况下相似换算公式预测结果的平均误差小于5%,泵总效率表达式及相似换算公式均具有较高的准确性。所提方法可用于预测不同转速和扬程下Wankel泵的效率性能,为Wankel泵的设计与研发提供指导。The Wankel pump,a novel rotor pump based on the Reuleaux triangle,can simultaneously deliver high flow and pressure with superior conveying performance.However,the current efficiency expressions and conversion theory for the Wankel pump are insufficient and do not offer guidance for designing and producing prototype pumps through hydraulic testing of model pumps in laboratories.Therefore,this study proposes a method for expressing and converting the efficiency of the Wankel pump based on the sub-parameter conversion method.Initially,the basic composition and operating principles of the Wankel pump are analyzed,and equations for the motion trajectory,velocity,and acceleration of the rotor vertex are established based on the cylinder profile.Then,the equation for calculating the head of the Wankel pump is derived from the energy conservation,and the similar relationship between the flow rate and head of the prototype pump and the model pump under equivalent working conditions is analyzed.Then,expressions for mechanical,hydraulic,and volumetric efficiency are constructed based on the structural characteristics of the pump,and the loss coefficients of each are derived by analyzing the composition of these expressions.A similar conversion method for each loss coefficient is then analyzed based on the analogous relationship between flow and head.An expression for the total efficiency and a similar conversion formula for the Wankel pump is established based on the relationship between loss and efficiency.Lastly,a hydraulic test system for the Wankel pump is constructed,and hydraulic performance tests of different models and speeds on Wankel pumps are conducted.The MATLAB genetic algorithm fits and analyzes the total efficiency expression,and a similar conversion formula is validated based on similar operating conditions.The results indicated that the goodness of fit of the Wankel pump's total efficiency expression for various speeds is>0.80,while the average error of the similar conversion formula is<5%under comparable

关 键 词：Wankel泵 效率表达 相似换算 相似工况 

分 类 号：TH326[机械工程—机械制造及自动化] TK72[动力工程及工程热物理—流体机械及工程]