基于自由曲面变形方法的离心泵三维叶片反问题方法
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摘要
针对传统离心泵三维扭曲叶片反问题难以实现,提出了基于自由曲面变形的离心泵三维扭曲叶片反问题方法。将叶片工作面与背面的压力之差作为叶片载荷,依据设计叶片实际载荷与目标载荷间的差值来驱动叶片的变形,依次对叶片前、后盖板流线型线进行变形控制。提出了依据前、后盖板流线型线及叶片进出口边形状对叶片各轴面截线形状进行控制的策略。算例的计算结果表明,通过所提出的反问题方法得到的叶片型线与目标叶型吻合程度较好,在设计工况点及非设计工况点的效率偏差均在0.6%以内,能够较快速、准确地实现离心泵三维扭曲叶片的反问题设计。该研究为离心泵三维扭曲叶片的反问题方法提供了参考。
According to the limitation of the traditional three-dimensional inverse method of centrifugal pump twisted blade, the inverse method based on the free-form deformation is proposed to design the three-dimensional centrifugal pump twisted blade. The difference of pressure between the pressure side and suction side is taken as the blade load. The shroud and hub streamlines are successively deformed according to the difference between the actual blade load and the objective blade load. A new method for controlling the meridian section curves is proposed according to the shroud and hub streamlines and the shape of blade inlet and outlet. The calculation case results show that the blade shape of proposed inverse method is almost similar to the target blade shape.At the design point and non-design points, the differences of efficiency are in the range of 0.6%. So it can quickly achieve the inverse problem of the centrifugal pump three-dimensional twisted blade accurately. This investigation can provide a certain reference for the three-dimensional inverse method of centrifugal pump twisted blade.
According to the limitation of the traditional three-dimensional inverse method of centrifugal pump twisted blade, the inverse method based on the free-form deformation is proposed to design the three-dimensional centrifugal pump twisted blade. The difference of pressure between the pressure side and suction side is taken as the blade load. The shroud and hub streamlines are successively deformed according to the difference between the actual blade load and the objective blade load. A new method for controlling the meridian section curves is proposed according to the shroud and hub streamlines and the shape of blade inlet and outlet. The calculation case results show that the blade shape of proposed inverse method is almost similar to the target blade shape.At the design point and non-design points, the differences of efficiency are in the range of 0.6%. So it can quickly achieve the inverse problem of the centrifugal pump three-dimensional twisted blade accurately. This investigation can provide a certain reference for the three-dimensional inverse method of centrifugal pump twisted blade.
引文
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[17]肖若富,陶然,王维维,等.混流泵叶轮反问题设计与水力性能优化[J].农业机械学报,2014,45(9):84-88XIAO Ruofu,TAO Ran,WANG Weiwei,et al.Inverse Design and Hydraulic Optimization of Mixed-flow Pump Impeller[J].Transactions of the Chinese Society of Agricultural Machinery,2014,45(9):84-88
[18]王福军,姚志峰,杨魏,等.双吸离心泵叶轮交替加载设计方法[J].农业机械学报,2015,46(6):84-91WANG Fujun,YAO Zhifeng,YANG Wei,et al.Impeller Design with Alternate Loading Technique for Double-suction Centrifugal Pumps[J].Transactions of the Chinese Society of Agricultural Machinery,2015,46(6):84-91
[19]张人会,郭苗,杨军虎,等.基于自由曲面变形方法的离心泵叶片反问题方法研究[J].农业机械学报,2014,45(1):84-88ZHANG Renhui,GUO Miao,YANG Junhu,et al.New Inverse Method of Centrifugal Pump Blade Based on Freeform Deformation[J].Transactions of the Chinese Society of Agricultural Machinery,2014,45(1):84-88
[20]张人会,樊家成,杨军虎,等.基于自由曲面变形方法的离心泵叶片载荷优化[J].农业机械学报,2015,46(8):46-51ZHANG Renhui,FAN Jiacheng,YANG Junhu,et al.The Optimization of the Centrifugal Pump Blade Load Based on Free Form Deformation[J].Transactions of the Chinese Society of Agricultural Machinery,2015,46(8):46-51
[21]Barr A H.Global and Local Deformations of Solid Primitives[J].Computer Graphics,1984,18(1):21-30
[22]Sederberg T W,Parry S R.Free-form Deformation of Solid Geometric Models[J].Computer graphics,1986,20(4):151-160
[23]Samareh J A.Aerodynamic Shape Optimization Based on Free-form Deformation[R].AIAA Paper 2004-4630,2004
[24]Zhang R H,Yang J H,Li R N.Parametric Control of the Hydraulic Machinery Impeller Based on Free-form Deformation[J].Procedia Engineering,2012,31:909-913
[2]李文广.离心泵叶片反问题设计[J].农业机械学报,2000,31(3):49-52LI Wenguang.Inverse Problem Design of Blade for Centrifugal Pumps[J].Transactions of the Chinese Society for Agricultural Machinery,2000,31(3):49-52
[3]袁寿其,王文杰,裴吉,等.低比转数离心泵的多目标优化设计[J].农业工程学报,2015,31(5):46-52YUAN Shouqi,WANG Wenjie,PEI Ji,et al.Multiobjective Optimization of Low-specific-speed Cen-trifugal Pump[J].Transactions of the Chinese Society of Agricultural Engineering,2015,31(5):46-52
[4]王旭鹤,祝宝山,曹树良,等.可逆式水泵水轮机转轮的三维反问题优化设计[J].农业工程学报,2014,30(13):78-85WANG Xuhe,ZHU Baoshan,CAO Shuliang,et al.Optimal Design of Reversible Pump-turbine Runner[J].Transactions of the Chinese Society of Agricultural Engineering,2014,30(13):78-85
[5]施卫东,蒋婷,曹卫东,等.高扬程无过载潜水排污泵的优化设计与试验[J].农业工程学报,2011,27(5):151-155SHI Weidong,JIANG Ting,CAO Weidong,et al.Optimal Design and Experiment on a High-head Non-overload Submersible Sewage Pump[J].Transactions of the Chinese Society of Agricultural Engineering,2011,27(5):151-155
[6]司乔瑞,袁寿其,王川等.低比速多级潜水泵优化设计[J].农业工程学报,2012,28(8):122-127SI Qiaorui,YUAN Shouqi,WANG Chuan,et al.Optimal Design of Submersible Multistage Pumps with Low Specific Speed[J].Transactions of the Chinese Society of Agricultural Engineering,2012,28(8):122-127
[7]王洋,刘洁琼,何文俊.无过载离心泵结构参数优化设计[J].农业工程学报,2012,28(3):33-37WANG Yang,LIU Jieqiong,HE Wenjun.Parameter Optimization of Non-overload Centrifugal Pump[J].Transactions of the Chinese Society of the Agricultural Engineering,2012,28(3):33-37
[8]Wu C H.A General Theory of Three-dimensional Flow in Subsonic and Supersonic Turbomachines of Axial-,Radial-,and Mixed-flow Types[R].National Aeronautics and Space Administration Washington DC,1952
[9]余志毅,曹树良,彭国义.运用正反问题迭代法进行叶片式气液混输泵叶轮的水力设计[J].机械工程学报,2006,42(4):135-141YU Zhiyi,CAO Shuliang,PENG Guoyi.Hydraulic Design of a Multiphase Rotodynamic Pump Impeller and Test Verification[J].Chinese Journal of Mechanical Engineering,2006,42(4):135-141
[10]谭磊,曹树良,供暖系统混水离心泵叶轮正反问题计算[J].流体机械,2009,37(7):18-23TAN Lei,CAO Shuliang.Computer Aided Design and Flow Analysis of the Mixture Water Centrifugal Pump Impeller in Heating System[J].Fluid Machinery,2009,37(7):18-23
[11]谭磊,曹树良,桂绍波,等.离心泵叶轮正反问题迭代设计方法[J].农业机械学报,2010,41(7):30-35TAN Lei,CAO Shuliang,GUI Shaobo,et al.Centrifugal Pump Impeller Design by Using Direct Inverse Problem Iteration[J].Transactions of the Chinese Society of Agricultural Machinery,2010,41(7):30-35
[12]邴浩,曹树良,谭磊.混流泵叶轮设计正反问题迭代方法[J].排灌机械工程学报,2011,29(4):277-281BING Hao,CAO Shuliang,TAN Lei.Iteration Method of Direct Inverse Problem of Mixed-flow Pump Impeller Design[J].Journal of Drainage and Irrigation Machinery Engineering,2011,29(4):277-281
[13]Kim J S,Park W G.Optimize Inverse Design Method for Pump Impeller[J].Mechanics Research Communications,2000,27(4):465-473
[14]Zangeneh M.A Compressible Three-dimensional Design Method for Radial and Mixed Flow Turbomachinery Blades[J].International Journal for Numerical Methods in Fluids,1991,13(5):599-624
[15]Zangeneh M,Goto A,Harada H.On the Role of Threedimensional Inverse Design Methods in Turbomachinery[J].Proc.IMech E,Part C:Journal of Mechanical Engineering,1999,213(1):27-42
[16]Zangeneh M,Goto A,Takemura T.Suppression of Secondary Flows in a Mixed-flow Pump Impeller by Application of Three-dimensional Inverse Design Method:Part1-Design and Numerical Valdition[J].Journal of Turbomachinery,1996,118(7):536-542
[17]肖若富,陶然,王维维,等.混流泵叶轮反问题设计与水力性能优化[J].农业机械学报,2014,45(9):84-88XIAO Ruofu,TAO Ran,WANG Weiwei,et al.Inverse Design and Hydraulic Optimization of Mixed-flow Pump Impeller[J].Transactions of the Chinese Society of Agricultural Machinery,2014,45(9):84-88
[18]王福军,姚志峰,杨魏,等.双吸离心泵叶轮交替加载设计方法[J].农业机械学报,2015,46(6):84-91WANG Fujun,YAO Zhifeng,YANG Wei,et al.Impeller Design with Alternate Loading Technique for Double-suction Centrifugal Pumps[J].Transactions of the Chinese Society of Agricultural Machinery,2015,46(6):84-91
[19]张人会,郭苗,杨军虎,等.基于自由曲面变形方法的离心泵叶片反问题方法研究[J].农业机械学报,2014,45(1):84-88ZHANG Renhui,GUO Miao,YANG Junhu,et al.New Inverse Method of Centrifugal Pump Blade Based on Freeform Deformation[J].Transactions of the Chinese Society of Agricultural Machinery,2014,45(1):84-88
[20]张人会,樊家成,杨军虎,等.基于自由曲面变形方法的离心泵叶片载荷优化[J].农业机械学报,2015,46(8):46-51ZHANG Renhui,FAN Jiacheng,YANG Junhu,et al.The Optimization of the Centrifugal Pump Blade Load Based on Free Form Deformation[J].Transactions of the Chinese Society of Agricultural Machinery,2015,46(8):46-51
[21]Barr A H.Global and Local Deformations of Solid Primitives[J].Computer Graphics,1984,18(1):21-30
[22]Sederberg T W,Parry S R.Free-form Deformation of Solid Geometric Models[J].Computer graphics,1986,20(4):151-160
[23]Samareh J A.Aerodynamic Shape Optimization Based on Free-form Deformation[R].AIAA Paper 2004-4630,2004
[24]Zhang R H,Yang J H,Li R N.Parametric Control of the Hydraulic Machinery Impeller Based on Free-form Deformation[J].Procedia Engineering,2012,31:909-913