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

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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.

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Authors and Affiliations

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

    Xue-hui Chen  (陈学慧) & Lian-cun Zheng  (郑连存)

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

    Xin-xin Zhang  (张欣欣)

Authors
  1. Xue-hui Chen  (陈学慧)
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  2. Lian-cun Zheng  (郑连存)
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  3. Xin-xin Zhang  (张欣欣)
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Corresponding author

Correspondence to Xue-hui Chen  (陈学慧).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 51276014 and 51406008)

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Chen, Xh., Zheng, Lc. & Zhang, Xx. MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing. Appl. Math. Mech.-Engl. Ed. 35, 1555–1564 (2014). https://doi.org/10.1007/s10483-014-1887-6

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  • DOI: https://doi.org/10.1007/s10483-014-1887-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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