Research Article | OPEN ACCESS
The Mixed Convection Flow in a Fluid-saturated Non-Darcy Porous Medium through a Horizontal Channel
1Abdullah A.A.A. Al-Rashed, 1Ahmad E. Murad, 1Abdulwahab Ali Alnaqi and 2Md. Anwar Hossain
1Department of Automotive and Marine Engineering Technology, College of Technological Studies, The Public Authority for Applied Education and Training, Kuwait
2Department of Mathematics, University of Dhaka, Bangladesh
Research Journal of Applied Sciences, Engineering and Technology 2013 12:895-906
Received: September 28, 2016 | Accepted: November 15, 2016 | Published: December 15, 2016
Abstract
In this study the aim is to study the unsteady mixed convection flow of viscous incompressible fluid through a horizontal channel embedded in non-Darcy porous medium with Brinkman-extended Darcy drag, assuming that temperature of the lower wall varies sinusoidally in the direction of the flow and that of the upper wall is uniform. The governing equations of the flow in terms of vorticity equation and energy equations are simulated using the lattice Boltzmann method together with the finite difference successive over relaxation method. The results are presented in terms of streamlines and isotherms showing the effect of Darcy drag and the Forchheimer drag as well as average Nusselt number. The observation from the present investigation is that the average Nusselt number decreases due to increase of the Darcy and Forchheimer drags, which leads to disappearance of the separated flow that developed for the flow of pure fluid as well as reduces the temperature along the heated region of the lower surface, although the periodicity of the wave propagation remains the same but amplitude of oscillation diminishes.
Keywords:
Horizontal channel, mixed-convection, non-darcy, porous-medium,
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Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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The authors have no competing interests.
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