Finite Element Method for Radiation Profile of Heat Transfer Flow in a Vertical Channel Mixed Convective Porous Medium.

Abstract

A mathematical attempt with FEM technique simulated in the paper is to demonstrate the profile of the free convection flow of an incompressible viscous fluid through a vertical channel of a porous matrix which is bounded by parallel walls of impermeable nature with various physical factors. The flow is considered to take place along the direction in the axis of the channel. The surface of the walls is maintained at uniform temperature. Brinkman model is implemented in framing of conservation equations of momentum for flow model in porous medium. The modifications of equations have been made with the considerations of dissipations of Darcy and viscous parameters to describe heat flow.With the simulations of FEM techniques, local thermal equilibrium conditions are at porous matrix and porous medium and flow occurs in the directions of buoyancy. The analysis and simulations of non-linear equations that governs mass transfer and heat flow. The evaluations at second order of the Sherwood number, concentration velocity, temperature and Nusselt number and their behavior is exhibited with variations of different parameters modeled in the proposed attempt.