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

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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. 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)

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

2010 MSC Number: 

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