Abstract
The present work describes the effect of magnetohydrodynamic (MHD) natural convection flow along a vertical flat plate with Joule heating and heat conduction. The governing boundary layer equations are first transformed into a non-dimensional form and resulting nonlinear system of partial differential equations are then solved numerically by using the implicit finite difference method with Keller box scheme. The results of the skin friction co-efficient, the surface temperature distribution, the velocity and the temperature profiles over the whole boundary layer are shown graphically for different values of the Prandtl number Pr (Pr = 1.74, 1.00, 0.72, 0.50, 0.10), the magnetic parameter M (M = 1.40, 0.90, 0.50, 0.10) and the Joule heating parameter J (J = 0.90, 0.70, 0.40, 0.20). Numerical values of the skin friction coefficients and surface temperature distributions for different values of Joule heating parameter have been presented in tabular form.
Highlights
Free convection flow is often encountered in cooling of nuclear reactors or in the study of the structure of stars and planets
With the above-mentioned flow parameters the results are displayed in Figs. 2 to Figs. 6 for predicting velocity profiles, temperature profiles, skin friction coefficients and surface temperature distributions
The transformed non-similar boundary layer equations governing the flow together with the boundary conditions based on conduction and convection were solved using the implicit finite difference method together with Keller box scheme
Summary
Free convection flow is often encountered in cooling of nuclear reactors or in the study of the structure of stars and planets. Along with the free convection flow the phenomenon of the boundary layer flow of an electrically conducting fluid up a vertical flat plate in the presence of a Joule heating term and magnetic field are very common because of their applications in nuclear engineering in connection with the cooling of reactors. With this understanding Takhar and Soundalgekar [1] have studied the effects of viscous and.
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