• EFFECT OF NON- LINEAR DENSITY TEMPERATURE VARIATION ON CONVECTIVE HEAT TRANSFER OF A VISCOUS FLUID THROUGH A RECTANGULAR CAVITY

Abstract

We analyze the combined influence of radiation and dissipation on the convective heat transfer flow of a viscous fluid through a porous medium in a rectangular cavity using Darcy model. Making use of the incompressibility the governing non-linear coupled equations for the momentum and energy are derived in terms of the non-dimensional stream function and temperature. The Galerkin finite element analysis with linear triangular elements is used to obtain the global stiffness matrices for the values of stream function and temperature. These coupled matrices are solved using iterative procedure and expressions for the stream function and temperature are obtained as linear combinations of the shape functions. The behaviour of temperature, Nusselt number are discussed computationally for different values of the governing parameters Ra,, N1, and Ec.