EFFECT OF NON-LINEAR DENSITY TEMPERATURE VARIATION ON CONVECTIVE HEAT AND MASS TRANSFER FLOW OF A VISCOUS DISSIPATIVE FLUID IN A RECTANGULAR CAVITY

Abstract

In this paper an attempt has been made to discuss the combined influence of radiation and 
dissipation on the convective heat and mass transfer flow of a viscous fluid through a porous medium in a 
rectangular cavity using Darcy model with non-linear density temperature variation. Making use of the 
incompressibility the governing non-linear coupled equations for the momentum, energy and diffusion are 
derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite 
element analysis with linear triangular elements is used to obtain the Global stiffness matrices for the values of 
stream function, temperature and concentration. These coupled matrices are solved using iterative procedure 
and expressions for the stream function, temperature and concentration are obtained as a linear combinations 
of the shape functions. The behaviour of temperature, concentration, Nusselt number and Sherwood number 
are discussed computationally for different values of the governing Parameters  N1 and Ec.