• EFFECTS OF THERMAL RADIATION AND HEAT SOURCE / SINK ON THE NATURAL CONVECTION IN UNSTEADY HYDROMAGNETIC COUETTE FLOW BETWEEN TWO VERTICAL PARALLEL PLATES WITH CONSTANT HEAT FLUX AT ONE BOUNDARY

Abstract

The effects of thermal radiation and heat source/sink on the natural convection in unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid confined between two vertical parallel plates with constant heat flux at one boundary are analyzed here. The magnetic lines of force are assumed to be fixed relative to the moving plate. In deriving the governing equations, a temperature dependent heat source/sink term is employed and the Rosseland approximation for the thermal radiation term is assumed to be valid. The non-dimensional governing equations involved in the present analysis are solved analytically, to the best possible extent. Velocity and temperature profiles are shown graphically, whereas the numerical value of the skin-friction has been tabulated. The effects of various parameters associated with flow like thermal Grashof number , magnetic parameter , radiation parameter , Prandtl number , heat generation/absorption parameter , accelerating parameter and time are studied with the help of graphs and tables.