Abstract
The present paper addresses the problem of MHD forced convective flow in a fluid saturated porous medium with Brinkman-Forchheimer model, which is an important physical phenomena in engineering applications. The paper extends the previous models to account for effects of variable fluid properties on the forced convective flow through a porous medium in the presence of radiative heat loss using bivariate spectral relaxation method (BSRM). The dynamic viscosity and thermal conductivity of the newtonian fluid are assumed to vary linearly respectively, with temperature whereas the contribution of thermal radiative heat loss is based on Rosseland diffussion approximation. The flow model is described and expressed in form of a highly coupled nonlinear system of partial differential equations. The method of solution BSRM as proposed by Motsa [25] seeks to decouple the original system of PDEs to form a sequence of equations that can be solved in a computationally efficient manner. BSRM is an approach that applies spectral collocation independently in all underlying independent variable is executed to obtain approximate solutions of the problem. The proposed algorithm is supposed to be a very accurate, convergent and very effective in generating numerical results. The results obtained show a significant effects of the flow control parameters on the fluid velocity and temperature respectively. Consequently, the wall shear stress and local heat transfer rate of the present paper are compared with the available results in literatures. Remarkable impacts and a good agreement are found.
Highlights
Theoretical and applied research in fluid flow, heat and mass transfer in porous media has received remarkable attention over the past three decades.This is due to the importance and relevance of this research area in many engineering applications
Magnetohydrodynamic forced convective flows in a fluid saturated porous media are of great value in various engineering, scientific and industrial applications in heat and mass transfer which occurs in the fields of design of chemical processing equipment,formation and dispersion of fog,distributions of temperature and moisture over agricultural fields and groves of fruit trees and damage of crops due to freezing and pollution of the environment,grain storage systems, heat pipes, packed microsphere insulation, distillation towers, ion exchange column, subterranean chemical waste migration system,solar power absorbers etc
The present study extends the work of El-Amin [5] to examine the problem of MHD forced convection flow over a non-isothermal horizontal cylinder embedded in a fluid saturated porous medium with variable viscosity μ(T ) and thermal conductivity λ(T), which are modeled as a function of temperature,in the presence of thermal radiation
Summary
Theoretical and applied research in fluid flow, heat and mass transfer in porous media has received remarkable attention over the past three decades.This is due to the importance and relevance of this research area in many engineering applications. Significant advances have been made in modeling fluid flow, heat and mass transfer through a porous medium including clarification of many important physical phenomena. The non-darcy effects on momentum, energy amd mass transport in porous media have been studied in depth for various geometrical configurations and boundary conditions.Many of the research works in porous media for the past couple of decades uses what is known as the Brinkman-Forchheimer-extended darcy or refer as generalized model by Vafai [1]. The qualitative analysis of convective transport in a porous medium in the presence of non-darcian effects has been a subject
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