IJPAM: Volume 106, No. 1 (2016)

NUMERICAL SOLUTION FOR MAGNETOHYDRODYNAMIC
STAGNATION POINT FLOW TOWARDS A STRETCHING OR
SHRINKING SURFACE IN A SATURATED POROUS MEDIUM

Susheela Chaudhary$^1$, Sawai Singh$^2$, Santosh Chaudhary$^3$
$^{1,2}$Department of Mathematics
S.K. Govt. (P.G.) College
Sikar, 332001, INDIA
$^3$Department of Mathematics
Malaviya National Institute of Technology
Jaipur, 302017, INDIA


Abstract. Mathematical analysis is carried out to investigate two-dimensional flow of a viscous incompressible electrically conducting fluid near a stagnation point of a stretching or shrinking surface in a saturated porous medium. Defining equations are formulated to determine the scope of considered variables and governing partial differential equations are reduced to ordinary differential equations by using suitable similarity transformation. Numerical computation of the problem was performed by shooting iteration technique together with Runge-Kutta fourth order integration scheme. Effects of Prandtl number, permeability parameter, magnetic parameter and stretching or shrinking parameter on velocity and temperature profiles are computed and illustrated graphically, whereas numerical values of local skin-friction coefficient and local Nusselt number are presented in tabular form.

Received: September 27, 2015

AMS Subject Classification: 76SXX, 76S05

Key Words and Phrases: magnetohydrodynamic flow, stagnation point, stretching surface, shrinking surface, porous medium

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DOI: 10.12732/ijpam.v106i1.11 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 141 - 155


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