Abstract:
This study extends previous investigation on ohmic heating of Magnetohydrodynamic (MHD)
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. A qualitative analysis of the problem is done by formulating theorem on
existence and uniqueness of solution based on some criteria and adequately delineated the proof
to validate the modified model. Thereafter, the resulting dimensionless system of equations
governing modified model are solved via Homotopy Analysis Method (HAM). The accuracy and
convergence of solutions are validated 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 increase with the increasing values of thermal radiation and decrease with the increasing
value of viscous dissipation parameter.
