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MHD Flow due to the Nonlinear Stretching of a Porous Sheet

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  • Tarek M. A. El-Mistikawy

Abstract

The MHD flow due to the nonlinear stretching of a porous sheet is investigated. A closed form solution is obtained when the stretching rate is inversely proportional to the distance from the origin. Otherwise a uniformly valid asymptotic expansion, for large magnetic interaction number , is developed. It coincides with a homotopy perturbation expansion for the problem. The asymptotic/homotopy perturbation expansion gives results in excellent agreement with accurate numerical results, for large as well as small values of . For large , the expansion, being asymptotic, needs a small number of terms, regardless of the mass transfer rate or the degree of nonlinearity. For small , the expansion is a homotopy perturbation one. It needs considerably increasing number of terms with higher injection rates and/or with stretching rates approaching the inverse proportionality. It may even fail.

Suggested Citation

  • Tarek M. A. El-Mistikawy, 2016. "MHD Flow due to the Nonlinear Stretching of a Porous Sheet," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-8, January.
    • Handle: RePEc:hin:jnlamp:4253649
    DOI: 10.1155/2016/4253649
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