• FINITE ELEMENT ANALYSIS OF NON LINEAR DENSITY-TEMPERATURE VARIATION ON NON-DARCY CONVECTIVE HEAT TRANSFER FLOW IN A VERTICAL CHANNEL

Abstract

We attempt to study the effect of quadratic density-temperature variation on non-Darcy convective Heat transfer flow of a viscous fluid through a porous medium in a vertical channel with heat generating sources. The governing equations flow, heat transfer are solved by using Galerkin finite element technique with quadratic polynomial approximations. The approximation solution is written directly as a linear combination of approximation functions with unknown nodal values as coefficients. Secondly, the approximation polynomials are chosen exclusively from the lower order piecewise polynomials restricted to contiguous elements. The velocity, temperature, , shear stress and rate of Heat transfer are evaluated numerically for different variations of parameter