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Research Article Open access CC BY 4.0

Numerical Study of Viscous Dissipation and Temperature-Dependent Viscosity on MHD Free Convection Flow over a Sphere with Heat Conduction

Md. M. Alam, Ruhul Imran, Mohammad Mahfuzul Islam, M. H. Rashid

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 29 Jun 2018

10.9734/JAMCS/2018/42164

Abstract

The effect of viscous dissipation and temperature dependent viscosity on MHD free convection flow over a sphere with heat conduction has been analyzed in the article. The governing equations are transformed into dimensionless non-similar equations by using a set of useful transformations and solved numerically by finite difference method along with Newton’s linearization approximation. Attention has been focused on the evaluation of shear stress in terms of local skin friction and local Nusselt number, the velocity and the temperature profiles over the whole boundary layer are shown graphically by using Tecplot-10 and tabular form for different values of the Prandtl’s number Pr, magnetic parameter M, the temperature dependent viscosityε, viscous dissipation parameter N and the Joule heating parameter J.

Free convection Joule-heating Magneto hydrodynamics Variation viscosity and viscous dissipation.

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