Combined effects of thermal-diffusion and thermal radiation on transient MHD natural convection flow in a vertical channel

Abstract

Papers presented to the 11th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 20-23 July 2015.This study investigates the transient MHD natural convection flow of viscous incompressible electrically conducting fluid in a vertical channel formed by two infinite vertical parallel plates in the presence of thermal-diffusion and thermal radiation. Analytical solutions for energy and momentum equation are derived using perturbation method for steady state operating condition for small value of radiation parameter. The time dependent energy and momentum equations under relevant initial and boundary conditions are solved using implicit finite difference method. The effects of the various involved parameters on the skin friction and Nusselt number at the channel surfaces are discussed. A series of numerical experiments shows that the time required to reach steady state velocity, temperature is directly proportional to the Prandtl number of the working fluid for fixed values of other controlling parameters.