Analytical Solution of Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability

Z.Z. Ganji; D.D. Ganji; A. Janalizadeh

doi:10.3390/mca15050957

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Article

31 December 2010

Analytical Solution of Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability

and

IOR/EOR Research Institute, National Iranian Oil Company (N.I.O.C.), Tehran, Iran

Department of Mechanical Engineering, Mazandaran University, Babol, P.O. Box 484, Iran

Author to whom correspondence should be addressed.

Math. Comput. Appl.2010, 15(5), 957-961;https://doi.org/10.3390/mca15050957

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Abstract

In this article the problem of two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability is presented and Homotopy Perturbation Method are employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the Numerical solution (NM) and the results of the He's Homotopy Perturbation Method (HPM). The results reveal that these methods are very effective and simple and can be applied for other nonlinear problems.

Keywords:

Nonlinear Equation; two-dimensional viscous flow; He's Homotopy Perturbation Method (HPM); weak permeability

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