Approximate analytical solution for MHD stagnation-point flow in porous media

S. Awang Kechil; I. Hashim

doi:10.1016/j.cnsns.2008.02.007

Approximate analytical solution for MHD stagnation-point flow in porous media

S. Awang Kechil
, I. Hashim

Universiti Teknologi MARA
Universiti Kebangsaan Malaysia

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

52 Scopus citations

Abstract

In this paper, the steady two-dimensional laminar forced MHD Hiemenz flow against a flat plate with variable wall temperature in a porous medium which was solved numerically using the implicit finite-difference of Keller-box method [Yih KA. The effect of uniform suction/blowing on heat transfer of magnetohydrodynamic Hiemenz flow through porous media. Acta Mech 1998;130:147-58] is revisited. A simple analytic approach of the Adomian decomposition method (ADM) is employed to obtain an approximate analytical solution of the problem. The skin friction coefficient and the rate of heat transfer given by the ADM are in good agreement with the numerical solutions of the Keller-box method.

Original language	English
Pages (from-to)	1346-1354
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	14
Issue number	4
DOIs	https://doi.org/10.1016/j.cnsns.2008.02.007
State	Published - Apr 2009
Externally published	Yes

Keywords

Adomian decomposition method
Boundary layer
Heat transfer
Magnetohydrodynamic
Porous media
Stagnation flow

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10.1016/j.cnsns.2008.02.007

Cite this

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title = "Approximate analytical solution for MHD stagnation-point flow in porous media",

abstract = "In this paper, the steady two-dimensional laminar forced MHD Hiemenz flow against a flat plate with variable wall temperature in a porous medium which was solved numerically using the implicit finite-difference of Keller-box method [Yih KA. The effect of uniform suction/blowing on heat transfer of magnetohydrodynamic Hiemenz flow through porous media. Acta Mech 1998;130:147-58] is revisited. A simple analytic approach of the Adomian decomposition method (ADM) is employed to obtain an approximate analytical solution of the problem. The skin friction coefficient and the rate of heat transfer given by the ADM are in good agreement with the numerical solutions of the Keller-box method.",

keywords = "Adomian decomposition method, Boundary layer, Heat transfer, Magnetohydrodynamic, Porous media, Stagnation flow",

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T1 - Approximate analytical solution for MHD stagnation-point flow in porous media

AU - Awang Kechil, S.

AU - Hashim, I.

PY - 2009/4

Y1 - 2009/4

N2 - In this paper, the steady two-dimensional laminar forced MHD Hiemenz flow against a flat plate with variable wall temperature in a porous medium which was solved numerically using the implicit finite-difference of Keller-box method [Yih KA. The effect of uniform suction/blowing on heat transfer of magnetohydrodynamic Hiemenz flow through porous media. Acta Mech 1998;130:147-58] is revisited. A simple analytic approach of the Adomian decomposition method (ADM) is employed to obtain an approximate analytical solution of the problem. The skin friction coefficient and the rate of heat transfer given by the ADM are in good agreement with the numerical solutions of the Keller-box method.

AB - In this paper, the steady two-dimensional laminar forced MHD Hiemenz flow against a flat plate with variable wall temperature in a porous medium which was solved numerically using the implicit finite-difference of Keller-box method [Yih KA. The effect of uniform suction/blowing on heat transfer of magnetohydrodynamic Hiemenz flow through porous media. Acta Mech 1998;130:147-58] is revisited. A simple analytic approach of the Adomian decomposition method (ADM) is employed to obtain an approximate analytical solution of the problem. The skin friction coefficient and the rate of heat transfer given by the ADM are in good agreement with the numerical solutions of the Keller-box method.

KW - Adomian decomposition method

KW - Boundary layer

KW - Heat transfer

KW - Magnetohydrodynamic

KW - Porous media

KW - Stagnation flow

UR - https://www.scopus.com/pages/publications/55549104727

U2 - 10.1016/j.cnsns.2008.02.007

DO - 10.1016/j.cnsns.2008.02.007

M3 - Article

AN - SCOPUS:55549104727

SN - 1007-5704

VL - 14

SP - 1346

EP - 1354

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 4

ER -

Approximate analytical solution for MHD stagnation-point flow in porous media

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Keywords

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