Radiation Effects on Unsteady MHD Free Convective Couette Flow of Heat Generation/Absorbing Fluid

Radiation effects on free convection MHD Couette flow of a viscous incompressible heat generating fluid confined between vertical plates have been studied. The governing equations are solved analytically using the Laplace transform technique. The variations of velocity and fluid temperature are presented graphically. It is observed that the velocity decreases with an increase in either magnetic parameter or radiation parameter or generation parameter or Prandtl number. It is also observed that the velocity increases with an increase in either Grashof number or time. An increase in either radiation parameter or Prandtl number leads to fall in the fluid temperature. It is seen that the fluid temperature increases with an increase in either heat generation parameter or time. Further, it is seen that the absolute value of shear stress at the moving plate increases with an increase in either magnetic parameter or radiation parameter while it decreases with an increase in either heat generation parameter or Prandtl number. The rate of heat transfer increases with an increase in either Prandtl number or heat generation parameter or time.