Joule Heating Effects of the Coupling Conduction on MHD Free Convection Flow along a Vertical Flat Plate with Heat Generation
Md. M. Alam
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
Md. Saddam Hossain
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
M. M. Parvez
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
M. A. Rahman
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the effects of heat generation and MHD on free convection flow along a vertical flat plate have been investigated. Joule heating and heat conduction due to wall thickness b are considered in this investigation. The non-dimensional equations are then transformed into non-linear equations by introducing a non- similarity transformation. The resulting equations together with their corresponding boundary conditions are solved numerically by using the finite difference method. Numerical results for the velocity profiles, temperature profiles, skin friction coefficient and the surface temperature distributions are shown both on graphs and tabular form for different values of the parameters.
Keywords: Free convection, Joule heating, magneto-hydrodynamics and heat generation.