Transient Free Convection in a Vertical Channel with Variable Temperature and Mass Diffusion

Abstract

Effects of thermal radiation and constant mass diffusion on the transient laminar free convective flow in a vertical channel with have been analyzed. The exact solutions of the governing equations have been obtained by using the Laplace transform technique. The influences of the parameters on the velocity field, temperature distribution, concentration in the fluid, shear stress, rate of heat and mass transfers have been presented either graphically . It is seen that the velocity and temperature fields decrease with an increase in radiation parameter. On the other hand, the rate of heat transfer at the plate  decreases with an increase in either radiation parameter or Prandtl number. Further, the shear stress at the plate  increases with an increase in either radiation parameter or thermal Grashof number or mass Grashof number.

Keywords: MHD flow, Transient Free convection, thermal Grashof number, mass Grashof number, thermal radiation, Heat transfer, and Mass transfer.