Parametric modeling and multi-parameter optimization of axial-flow pump blade
XIA Shuijing1, YUAN Jianping1, SUN Xiao2, ZHOU Banglun1, LI Yanjun1
1.National Research Center of Pumps, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Jingjiang College, Jiangsu University, Zhenjiang, Jiangsu 212013, China
Abstract:In order to achieve automatic optimization of hydraulic performance for axial-flow pumps, a platform is developed to enable geometrical model update, mesh generation, numerical simulation and data input and output to be carried out automatically. To avoid problems raised in the iteration of blade geometry in traditional optimization methods, a parametric modeling approach is proposed for axial-flow pump impellers, based on a parametric analysis on inlet and outlet angles and blade thickness profile in the circular arc airfoil method to realize a control on the shape of blade just with a few geometrical parameters. The optimization method is applied to an axial-flow pump with a specific speed of ns=1 500 by taking the hydraulic efficiency as objective function. The inlet and outlet blade angles are chosen as the optimized variables and the pump head is used as a constraint condition. The results show that the best hydraulic efficiency is improved to 82.4% from 80.4% at the design flow rate after 500 times iteration cycles, but the hydraulic efficiency is also overall improved in the operating condition of 0.8QBEP to 1.2QBEP as well. The optimization approach presented here can provide some reference for optimization and its applications of hydraulic machinery.
[1]关醒凡.现代泵理论与设计[M].北京:中国宇航出版社,2011.[2]袁寿其.低比速离心泵理论与设计[M].北京:机械工业出版社,1997.[3]刘厚林,白羽,董亮,等.高温高压冶金用热水循环泵模态分析[J].江苏大学学报(自然科学版),2015,36(2): 159-164. LIU Houlin,BAI Yu,DONG Liang, et al.Modal analysis metallurgical hot water circulating pump at high temperature and pressrue[J].Journal of Jiangsu University(natural science edition),2015,36(2): 159-164.(in Chinese)[4]袁建平,朱钰雯,周帮伦, 等.余热排出泵内部压力脉动特性分析[J].排灌机械工程学报,2015,33(6):475-480. YUAN Jianping,ZHU Yuwen,ZHOU Banglun, et al.Pressure fluctuation in residual heat removal pumps[J]. Journal of drainage and irrigation machinery enginee-ring,2015,33(6):475-480.(in Chinese)[5]CARCASCI C,FACCHINI B.A numerical procedure to design internal cooling of gas turbine stator blades[J].Revue genérale de thermique,1996,35(412):257-268.[6]TANG Yuling, ZHENG Guilin, ZHANG Shirong. Optimal control approaches of pumping stations to achieve energy efficiency and load shifting[J].Electrical power and energy systems,2014,55:572-580.[7]ALFARO-AYALA J A,AYALA-RAMIREZ V,GALLEGOS-MUNOZ A,et al.Optimal location of axial impellers in a stirred tank applying evolutionary programing and CFD[J].Chemical engineering research and design,2015,100:203-211.[8]SAHRAIE H,MIRANI M R,AHMADI M H,et al.Thermo-economic and thermodynamic analysis and optimization of a two-stage irreversible heat pump[J].Energy conversion and management,2015,99:81-91.[9]虞跨海,岳珠峰.涡轮冷却叶片参数化建模及多学科设计优化[J].航空动力学报,2007,22(8):1346-1351. YU Kuahai,YUE Zhufeng.Parametric modeling and multidisciplinary design optimization for cooling turbine blade [J].Journal of aerospace power,2007,22(8):1346-1351.(in Chinese)[10]QU Hong,XING Ke,ALEXANDER T.An improved genetic algorithm with co-evolutionary strategy for global path planning of multiple mobile robots[J]. Neurocomputing,2013,120:509-517.[11]SI Qiaorui,YUAN Shouqi,YUAN Jianping,et al.Multiobjective optimization of low-specific-speed multistage pumps by using matrix analysis and CFD method[J/OL].Journal of applied mathematics,2013[2015-10-19]. http://dx.doi.org/10.1155/2013/136195.[12]HUANG Renfang,LUO Xianwu,JI Bin,et al. Multi-objective optimization of a mixed-flow pump impeller using modified NSGA-II algorithm[J].Science China technological sciences,2015,58(12):2122-2130.[13]周威,陆金桂.多岛遗传算法在螺旋桨优化设计中的应用[J].船舶工程,2014,36(5):46-48,68. ZHOU Wei,LU Jingui. Application of multi-island genetic algorithm in optimization design of propeller[J]. Ship engineering, 2014,36(5):46-48,68.(in Chinese)[14]樊江,曾维维,王荣桥, 等.基于iSIGHT的涡轮叶片叶冠优化设计[J].航空动力学报,2011,26(4):745-751. FAN Jiang,ZENG Weiwei,WANG Rongqiao, et al. Optimization design of the turbine blade shroud based on iSIGHT software[J].Journal of aerospace power,2011,26(4):745-751.(in Chinese)[15]BELLARY S A I,HUSAIN A,SAMAD A. Effectiveness of meta-models for multi-objective optimization of centrifugal impeller[J].Journal of mechanical science and technology,2014,28(12):4947-4957.[16]SIDDIQI M A,BOPPA P, STRONGIN M P.Multi-parameters pump impeller optimization[C]//Proceedings of the ASME 2012 Fluids Engineering Summer Meeting, Parts A and B, 2012:387-394.