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Numerical Prediction of Natural Convection Flow in the Presence of Weak Magnetic Prandtl Number and Strong Magnetic Field with Algebraic Decay in Mainstream Velocity

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  09 January 2017

Muhammad Ashraf ,
Iram Iqbal ,
M. Masud  and
Nazara Sultana
Muhammad Ashraf*
Affiliation:
Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan
Iram Iqbal
Affiliation:
Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan
M. Masud
Affiliation:
Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan
Nazara Sultana
Affiliation:
Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan
*
*Corresponding author. Email:mashraf682003@yahoo.com (M. Ashraf)
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Abstract

In present work, we investigate numerical simulation of steady natural convection flow in the presence of weak magnetic Prandtl number and strong magnetic field by involving algebraic decay in mainstream velocity. Before passing to the numerical simulation, we formulate the set of boundary layer equations with the inclusion of the effects of algebraic decay velocity, aligned magnetic field and buoyant body force in the momentum equation. Later, finite difference method with primitive variable formulation is employed in the physical domain to compute the numerical solutions of the flow field. Graphical results for the velocity, temperature and transverse component of magnetic field as well as surface friction, rate of heat transfer and current density are presented and discussed. It is pertinent to mention that the simulation is performed for different values of algebraic decay parameter α, Prandtl number Pr, magnetic Prandtl number Pm and magnetic force parameter S.

Keywords

Natural convectionmagnetized plateskin frictioncurrent densityheat transferalgebraic decay in main stream velocity

MSC classification

Secondary: 78A48: Composite media; random media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 2 , April 2017 , pp. 349 - 361
Copyright
Copyright © Global-Science Press 2017 

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