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A computational analysis of heat transport irreversibility phenomenon in a magnetized porous channel

Souad Marzougui (High Institute of Applied Sciences and Technology, Industrial Chemistry and Processes Department, University of Gabes, Gabes, Tunisia)
M. Bouabid (High Institute of Applied Sciences and Technology, Industrial Chemistry and Processes Department, University of Gabes, Gabes, Tunisia)
Fateh Mebarek-Oudina (Department of Physics, Faculty of Sciences, University of 20 août 1955-Skikda, Skikda, Algeria and Laboratoire des Matériaux et Génie Energétique (LMGE), University of 20 août 1955-Skikda, Skikda, Algeria)
Nidal Abu-Hamdeh (Department of Mechanical Engineering, College of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia)
Mourad Magherbi (High Institute of Applied Sciences and Technology, Industrial Chemistry and Processes Department, University of Gabes, Gabes, Tunisia)
K. Ramesh (Department of Mathematics, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 23 December 2020

Issue publication date: 6 July 2021

175

Abstract

Purpose

The purpose of this paper is to evaluate the temperature, the Dirichlet conditions have been considered to the parallel horizontal plates. The model of generalized Brinkman-extended Darcy with the Boussinesq approximation is considered and the governing equations are computed by COMSOL multiphysics.

Design/methodology/approach

In the current study, the thermodynamic irreversible principle is applied to study the unsteady Poiseuille–Rayleigh–Bénard (PRB) mixed convection in a channel (aspect ratio A = 5), with the effect of a uniform transverse magnetic field.

Findings

The effects of various flow parameters on the fluid flow, Hartmann number (Ha), Darcy number (Da), Brinkman number (Br) and porosity (ε), are presented graphically and discussed. Numerical results for temperature and velocity profiles, entropy generation variations and contour maps of streamlines, are presented as functions of the governing parameter mentioned above. Basing on the generalized Brinkman-extended Darcy formulation, which allows the satisfaction of the no-slip boundary condition on a solid wall, it is found that the flow field and then entropy generation is notably influenced by the considering control parameters. The results demonstrate that the flow tends toward the steady-state with four various regimes, which strongly depends on the Hartman and Darcy numbers variations. Local thermodynamic irreversibilities are more confined near the active top and bottom horizontal walls of the channel when increasing the Da and decreasing the Hartmann number. Entropy generation is also found to be considerably affected by Brinkman number variation.

Originality/value

In the present work, we are presenting our investigations on the influence of a transverse applied external magnetohydrodynamic on entropy generation at the unsteady laminar PRB flow of an incompressible, Newtonian, viscous electrically conducting binary gas mixture fluid in porous channel of two horizontal heated plates. The numerical solutions for the liquid velocity, the temperature distribution and the rates of heat transport and entropy generation are obtained and are plotted graphically.

Keywords

Citation

Marzougui, S., Bouabid, M., Mebarek-Oudina, F., Abu-Hamdeh, N., Magherbi, M. and Ramesh, K. (2021), "A computational analysis of heat transport irreversibility phenomenon in a magnetized porous channel", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 7, pp. 2197-2222. https://doi.org/10.1108/HFF-07-2020-0418

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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