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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1569-.doi: https://doi.org/10.1007/s10483-009-1208-6

• Articles • 上一篇    下一篇

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

 S. Nadeem, Anwar Hussain   

  1. Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan
  • 收稿日期:2009-02-12 修回日期:2009-08-25 出版日期:2009-12-23 发布日期:2009-12-01

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

 S. Nadeem, Anwar Hussain   

  1. Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan
  • Received:2009-02-12 Revised:2009-08-25 Online:2009-12-23 Published:2009-12-01

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摘要： 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.

关键词: MHD flow, stagnation flow, shrinking sheet, homotopy analysis method

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.

Key words: MHD flow, stagnation flow, shrinking sheet, homotopy analysis method

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