Title: Hydromagnetic double-diffusive convection in a rectangular enclosure with linearly heated and concentrated wall(s) in the presence of heat generation/absorption effects

Authors: Ali J. Chamkha; M.M. Abd El-Aziz; Sameh E. Ahmed

Addresses: Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh 70654, Kuwait ' Department of Mathematics, South Valley University, Qena, Egypt ' Department of Mathematics, South Valley University, Qena, Egypt

Abstract: In this work, the problem of transient MHD double-diffusive natural convection flow of a Newtonian fluid in a rectangular enclosure with linearly heated and concentrated walls in the presence of heat generation or absorption effects is investigated. The finite-difference method is employed to solve the dimensionless governing equations of the problem. The effects of governing parameters, namely the Hartmann number, Lewis number, buoyancy parameter and the heat generation or absorption parameter on the streamlines, isotherm and iso-concentration contours as well as the velocity components, local Nusselt number and the local Sherwood number are studied. Two cases are considered. The first case is when the cavity has both vertical walls heated and concentrated and the second case when the cavity has only its left wall heated and concentrated while the right wall is cooled and has no mass. The present results are validated by favourable comparisons with previously published results. All results are presented graphically and discussed.

Keywords: cavities; natural convection; MHD; magnetohydrodynamics; heat generation; heat absorption; linearly heated and concentrated walls; Newtonian fluids; rectangular enclosure; finite difference method.

DOI: 10.1504/PCFD.2012.049812

Progress in Computational Fluid Dynamics, An International Journal, 2012 Vol.12 No.6, pp.400 - 414

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 15 Oct 2012 *

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