Ohmic Heating of Magnetohydrodynamic Viscous Flow over a Continuous Moving Plate with Viscous Dissipation Buoyancy and Thermal Radiation

Abstract:

This study extends previous investigation on ohmic heating of magnetohydrodynamic viscous fluid flow over a continuous moving plate to include radiative heat-loss, viscous dissipation and buoyancy effects. The mathematical formulation representing the modified physical model involves a system of three partial differential equations, which are transformed into a system of two coupled non-linear ordinary differential equations using suitable dimensionless variables. Thereafter, the resulting dimensionless system of equations governing modified model are solved via Homotopy Analysis Method (HAM). The accuracy and convergence of solutions are vali￾dated by comparing the results obtained with those in literature and they are in good agreement. Parametric study is performed to illustrate the effects of emerging parameters on fluid velocity and temperature, skin friction coefficient and Nusselt number. It is found that the impacts of pertinent parameters due to the extensions are significant and these are presented in graphs and tables. The results indicate that the skin friction coefficient and the heat transfer rate increase with the increasing values of thermal radiation and decrease with the increasing value of viscous dissipation parameter.

• Periodical: Defect and Diffusion Forum (Volume 392)
• Pages: 73-91
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.392.73
• Online since: April 2019
• Authors: K.S. Adegbie, Damilare J. Samuel*, Babatunde Ajayi
• Keywords: Free Convection, Homotopy Analysis Method, Temperature Dependent Thermal Conductivity, Temperature Dependent Viscosity, Thermal Radiation, Viscous Dissipation

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