Transient MHD Natural Convection between Two Vertical Walls Heated/Cooled Asymmetrically

Abstract

The transient MHD natural convection flow of a viscous incompressible electrically conducting fluid confined between vertical walls heated/cooled asymmetrically has been studied. We have considered two different cases (i) when one of the walls is stationary and (ii) when one of the walls starts to move impulsively. The governing equations have been solved analytically using the Laplace transform technique. The velocity field and temperature distribution are being presented graphically. The fluid velocity decreases for both the stationary wall as well as for impulsive motion of one of the walls with an increase in either magnetic parameter or Prandtl number. An increase in fluid temperature occurs due to an increase in temperature difference ratio. Further, the shear stress increases for both the stationary wall as well as for impulsive motion of one of the walls with an increase in either Grashof number or temperature difference ratio or time. The rate of heat transfer at the wall 0   increases with an increase in Prandtl number while it decreases with an increase in temperature difference ratio.