MATHEMATICAL MODELING FOR POROUS MEDIA TRANSPORT IN NEWTONIAN RADIATING/CHEMICALLY REACTING FLUID OVER AN IMPULSIVELY-STARTED VERTICAL PLATE: A FINITE DIFFERENCE APPROACH

  • S. AHMED
  • K. KALITA
Keywords: Optically thick Gray Gas, Magnetofluid dynamics, Thermal radiation, Solar energy collectors, Crank-Nicolson scheme, Darcian regime, Chemically Reacting fluid

Abstract

Theoretical investigation is presented here for the model of unsteady MHD thermal convection flow of a viscous incompressible absorbingemitting optically thin gray gas along an impulsivelystarted semi-infinite vertical plate adjacent to the Darcian porous regime in the presence of a first order chemical reaction and significant thermal radiation effects. The conservation equations are nondimensionalized and are solved by an accurate and unconditionally stable implicit finite difference scheme of Crank-Nicholson type. The flow is found to be accelerated with increasing porosity parameter (K), whereas the temperature and concentration distributions are reduced in the Darcian regime. Flow velocity and Temperature are found to be depressed with progression of thermal radiation (Ra) contribution, but enhanced the concentration distribution. Applications of the model arise in solar energy collector analysis, magneto-fluid dynamics and industrial materials processing.

Published
2014-01-31
Section
Heat and Mass Transfer