A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel

Ali R. Ansari; Helmi Temimi; Mariam Kinawi; Abdul Majeed Siddiqui

A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel

Ali R. Ansari
, Helmi Temimi
, Mariam Kinawi
, Abdul Majeed Siddiqui

Penn State York

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.

Original language	English (US)
Pages (from-to)	1-9
Number of pages	9
Journal	IAENG International Journal of Applied Mathematics
Volume	40
Issue number	4
State	Published - Nov 2010

All Science Journal Classification (ASJC) codes

Applied Mathematics

Cite this

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abstract = "In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.",

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AU - Temimi, Helmi

AU - Kinawi, Mariam

AU - Siddiqui, Abdul Majeed

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N2 - In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.

AB - In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.

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ER -

A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel

Abstract

All Science Journal Classification (ASJC) codes

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