Heat Generation Effects on MHD Natural Convection Flow along a Vertical Wavy Surface with Variable Thermal Conductivity

Md Abdul Alim, Md Rezaul Karim, Md Miraj Akand

Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
Department of Mathematics, Dhaka Commerce College, Dhaka, Bangladesh.
Department of Mathematics, Jagannath University, Dhaka, Bangladesh.

DOI: 10.4236/ajcm.2012.21005                

Abstract

The heat generation effects on magnetohydrodynamic(MHD) natural convection flow along a vertical wavy surface with variable thermal conductivity have been investigated. The governing boundary layer equations are first transformed into a non-dimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines as well as the isotherms are shown graphically for a selection of parameters set consisting of thermal conductivity variation parameter, heat generation parameter Q, magnetic parameter M and Prandtl number Pr. Comparison of numerical results of present work with other published data has been shown in table.

Keywords

Natural Convection; Magnetohydrodynamics; Heat Transfer; Wavy Surface; Temperature Dependent Thermal Conductivity; Heat Generation

Conflicts of Interest

The authors declare no conflicts of interest.

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