MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing

doi:10.1007/s10483-014-1887-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (12): 1555-1564.doi: https://doi.org/10.1007/s10483-014-1887-6

MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing

陈学慧¹, 郑连存¹, 张欣欣²

1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China;
2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China

收稿日期:2014-04-03 修回日期:2014-05-19 出版日期:2014-12-01 发布日期:2014-12-01
通讯作者: Xue-hui CHEN, E-mail: cxh2002683@sohu.com E-mail:cxh2002683@sohu.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.51276014 and 51406008)

MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing

Xue-hui CHEN¹, Lian-cun ZHENG¹, Xin-xin ZHANG²

1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China;
2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China

Received:2014-04-03 Revised:2014-05-19 Online:2014-12-01 Published:2014-12-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.51276014 and 51406008)

摘要/Abstract

摘要： The problem of magnetohydrodynamic (MHD) flow on a moving surface with the power-law velocity and special injection/blowing is investigated. A scaling group transformation is used to reduce the governing equations to a system of ordinary differential equations. The skin friction coefficients of the MHD boundary layer flow are derived, and the approximate solutions of the flow characteristics are obtained with the homotopy analysis method (HAM). The approximate solutions are easily computed by use of a high order iterative procedure, and the effects of the power-law index, the magnetic parameter, and the special suction/blowing parameter on the dynamics are analyzed. The obtained results are compared with the numerical results published in the literature, verifying the reliability of the approximate solutions.

关键词: power-law fluid, approximate solution, injection/blowing, power-law velocity, magnetohydrodynamic (MHD) fluid

Abstract: The problem of magnetohydrodynamic (MHD) flow on a moving surface with the power-law velocity and special injection/blowing is investigated. A scaling group transformation is used to reduce the governing equations to a system of ordinary differential equations. The skin friction coefficients of the MHD boundary layer flow are derived, and the approximate solutions of the flow characteristics are obtained with the homotopy analysis method (HAM). The approximate solutions are easily computed by use of a high order iterative procedure, and the effects of the power-law index, the magnetic parameter, and the special suction/blowing parameter on the dynamics are analyzed. The obtained results are compared with the numerical results published in the literature, verifying the reliability of the approximate solutions.

Key words: magnetohydrodynamic (MHD) fluid, power-law velocity, approximate solution, power-law fluid, injection/blowing

中图分类号:

O357
O175

陈学慧;郑连存;张欣欣. MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1555-1564.

Xue-hui CHEN;Lian-cun ZHENG;Xin-xin ZHANG. MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1555-1564.

参考文献

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MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing

MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing

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