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Article

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

by
Z.Z. Ganji
1,*,
D.D. Ganji
2 and
A. Janalizadeh
2
1
IOR/EOR Research Institute, National Iranian Oil Company (N.I.O.C.), Tehran, Iran
2
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
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

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

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MDPI and ACS Style

Ganji, Z.Z.; Ganji, D.D.; Janalizadeh, A. Analytical Solution of Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability. Math. Comput. Appl. 2010, 15, 957-961. https://doi.org/10.3390/mca15050957

AMA Style

Ganji ZZ, Ganji DD, Janalizadeh A. Analytical Solution of Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability. Mathematical and Computational Applications. 2010; 15(5):957-961. https://doi.org/10.3390/mca15050957

Chicago/Turabian Style

Ganji, Z.Z., D.D. Ganji, and A. Janalizadeh. 2010. "Analytical Solution of Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability" Mathematical and Computational Applications 15, no. 5: 957-961. https://doi.org/10.3390/mca15050957

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