Radiation and heat generation effects on viscous Joule heating MHD-conjugate heat transfer for a vertical flat plate

Abstract

Conjugate heat transfer formed by the coupling effect of conduction inside and free convection flow along the flat plate is analyzed. The Joule heating effect because of considered magnetohydrodynamics (MHD) along with viscous dissipation, heat generation, and radiation phenomena are included in the investigation. The converted dimensionless partial differential equations representing the aforementioned flow characteristics are transformed into nonlinear equations with the help of a stream function with similarity variable. Finally, a numerical solution is carried out using the implicit finite difference method to analyze the flow behaviors in terms of velocity, temperature, skin friction coefficient, heat transfer rate, and surface temperature. A complete parametric analysis is done on the numerical results to show the effects of the radiation parameter, magnetic parameter, Eckert number, heat generation parameter, conjugate conduction parameter, and Prandtl number. It is found that thermal radiation, viscous Joule heating, and internal heat generation in the presence of axial conduction effects have a significant effect on MHD natural convection flow and thermal fields.