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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

Numerical Prediction of Natural Convection Flow in the Presence of Weak Magnetic Prandtl Number and Strong Magnetic Field with Algebraic Decay in Mainstream Velocity
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Year:    2017

Author:    Muhammad Ashraf, Iram Iqbal, M. Masud, Nazara Sultana

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 349–361

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 $P_r$, magnetic Prandtl number $P_m$ and magnetic force parameter $S$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.m616

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 349–361

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Natural convection magnetized plate skin friction current density heat transfer algebraic decay in main stream velocity

Author Details

Muhammad Ashraf

Iram Iqbal

M. Masud

Nazara Sultana

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