Convective fluid flow and heat transfer in a vertical rectangular duct containing a horizontal porous medium and fluid layer

Umavathi, JC and Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 2020, 'Convective fluid flow and heat transfer in a vertical rectangular duct containing a horizontal porous medium and fluid layer' , International Journal of Numerical Methods for Heat & Fluid Flow . (In Press)

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Abstract

Purpose-A numerical analysis is presented to investigate thermally and hydrodynamically fully developed convection in a duct of rectangular cross-section containing a porous medium and fluid layer. Design/methodology/approach-The Darcy-Brinkman-Forchheimer flow model is adopted. A finite difference method of second-order accuracy with the Southwell-OverRelaxation Method (SORM) is deployed to solve the non-dimensional momentum and energy conservation equations under physically robust boundary conditions. Findings-It is found that the presence of porous structure, and different immiscible fluids exert a significant impact in controlling the flow. Graphical results for the influence of the governing parameters i.e. Grashof number, Darcy number, porous media inertia parameter, Brinkman number and ratios of viscosities, thermal expansion and thermal conductivity parameters on the velocity and temperature fields are presented. The volumetric flow rate, skin friction and rate of heat transfer at the left and right walls of the duct are also provided in tabular form. The numerical solutions obtained are validated with the published work and excellent agreement is attained. Originality/value-To the authors best knowledge this work original in developing the numerical code using FORTRAN to assess the fluid properties for immiscible fluids. The study is relevant to geothermal energy systems, thermal insulation systems, resin flow modeling for liquid composite molding processes and hybrid solar collectors.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: International Journal of Numerical Methods for Heat & Fluid Flow
Publisher: Emerald
ISSN: 0961-5539
Depositing User: OA Beg
Date Deposited: 13 Aug 2020 13:40
Last Modified: 13 Aug 2020 13:45
URI: http://usir.salford.ac.uk/id/eprint/57886

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