Radiation Effect on MHD Fully Developed Mixed Convection in a Vertical Channel with Asymmetric Heating

Abstract

Effects of radiative heat transfer on MHD fully developed mixed convective flow of a viscous incompressible electrically conducting fluid through a vertical channel with asymmetric heating of the walls in the presence of a uniform transverse magnetic field has been studied. An exact solution of the governing equations has been obtained in closed form. It is observed that the velocity field is greatly influenced by the radiative heat transfer as well as bouyancy forces. The induced magnetic field decreases at any point near the left wall and it increases near the right wall of the vertical channel with increase in radiation parameter. Further, an increase in radiation parameter leads to a decrease in the temperature at any point of the channel flow. A limiting consideration of the solutions of the governing equations of the flow are analyzed for Ra<<1.

Keywords

• MHD mixed convective flow
• Grashof number
• radiation parameter
• Prandtl number and asymmetric heating.