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MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method

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Abstract

The present paper investigates the magnetohydrodynamic (MHD) flow of a viscous fluid towards a nonlinear porous shrinking sheet. The governing equations are simplified by similarity transformations. The reduced problem is then solved by the homotopy analysis method. The pertinent parameters appearing in the problem are discussed graphically and presented in tables. It is found that the shrinking solutions exist in the presence of MHD. It is also observed from the tables that the solutions for f″(0) with different values of parameters are convergent.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan

    S. Nadeem & Anwar Hussain

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  1. S. Nadeem
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  2. Anwar Hussain
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Correspondence to S. Nadeem.

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Communicated by Zhe-wei ZHOU

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Nadeem, S., Hussain, A. MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method. Appl. Math. Mech.-Engl. Ed. 30, 1569–1578 (2009). https://doi.org/10.1007/s10483-009-1208-6

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  • DOI: https://doi.org/10.1007/s10483-009-1208-6

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Chinese Library Classification

2000 Mathematics Subject Classification

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