基于曲面响应分析的混流式多级泵优化设计  

Optimization design of mixed flow multistage pump based on surface response analysis

作　　者：郭勇胜 王鹏[1] 袁寿其[1] 杨海龙 王彪彪 司乔瑞[1] GUO Yongsheng;WANG Peng;YUAN Shouqi;YANG Hailong;WANG Biaobiao;SI Qiaorui(Research Center of Fluid Machinery Engineering and Technology,Jiangsu University,Zhenjiang 212013,China;Chongqing pump works Co.,Ltd.,Chongqing 400033,China)

机构地区：[1]江苏大学流体机械工程技术研究中心,江苏镇江212013 [2]重庆水泵厂有限责任公司,重庆400033

出　　处：《流体机械》2022年第8期22-29,44,共9页Fluid Machinery

基　　金：国家自然科学基金项目(51976079);国家重点研发计划项目(2020YFC1512403);江苏省碳达峰碳中和科技创新专项(BE2022032-3);机械系统与振动国家重点实验室课题资助项目(MSV202201)。

摘　　要：针对混流式多级泵结构参数众多,内部流动复杂,效率提升困难的问题,基于雷诺时均N-S方程,建立了混流式多级泵性能数值预测方法,并对其叶轮叶型进行优化设计。首先对首级叶轮几何参数优化设计,并进行全因子试验,发现线性回归方程失真,进而在初步设计方案的基础上增设星号点进一步设计试验,最终完成曲面响应的优化设计并绘制响应面图形,并进行了多个流量工况的五级泵数值预测和试验验证。研究结果表明:基于曲面响应求解的回归方程能准确预测叶轮参数,与优化模型数值计算结果相比效率预测偏高0.1353%,扬程预测偏低0.02573 m,误差均小于1%;拟合回归方程时,单因子对效率的影响顺序为D(0.012)﹥B(0.061)﹥A(0.133)﹥C(0.448),单因子对扬程的影响顺序为D(0.000)=B(0.000)﹥A(0.101)﹥C(0.151),B(叶轮叶片中间流线进口安放角)和D(叶轮叶片出口安放角)是影响效率和扬程的强显著因子;单级泵与五级模型泵两者效率特性曲线近似平行,扬程特性曲线在0.8Q_(d)~1.2Q_(d)范围内基本一致,说明以单级叶轮优化为基础对多级泵进行优化设计的方法可行。In order to solve the problems of numerous structural parameters,complex internal flow and difficult efficiency improvement of mixed-flow multi-stage pump,a numerical prediction method for the performance of mixed-flow multi-stage pump was established based on Reynolds time averaged N-S equation,and the impeller profile was optimized.Firstly,the geometric parameters of the first stage impeller were optimized,and the full factor test was carried out,and the distortion of the linear regression equation was found.Then,on the basis of the preliminary design scheme,the asterisk points were added to further design the test.Finally,the optimal design of the surface response was completed,and the response surface graph was drawn,and the numerical prediction and experimental verification of the five-stage pump under multiple flow conditions were carried out.The results indicate that the regression equation based on surface response can accurately predict the impeller parameters.Compared with the numerical calculation results of the optimization model,the efficiency predicted is 0.1353%higher,the head predicted is 0.02573 m lower,and the errors are less than 1%;When fitting the regression equation,the influence order of single factor on efficiency is D(0.012)>B(0.061)>A(0.133)>C(0.448),and the influence order of single factor on head is D(0.000)=B(0.000)>A(0.101)>C(0.151).B(inlet setting angle of impeller blade middle streamline)and D(outlet setting angle of impeller blade)are strongly significant factors affecting efficiency and head;The efficiency characteristic curves of singlestage pump and five-stage model pump are approximately parallel,and the head characteristic curves are basically consistent in the range of 0.8Q_(d)~1.2Q_(d),indicating that the optimization design method of multi-stage pump based on single-stage impeller optimization is feasible.

关 键 词：混流式多级泵 优化设计 全因子试验 曲面响应 内流分析 

分 类 号：TH3[机械工程—机械制造及自动化]