Drbem Solution of Natural Convective Heat Transfer With a Non-Darcy Model in a Porous Medium

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Date

2015

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Springer

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Abstract

This study presents the dual reciprocity boundary element (DRBEM) solution of Brinkman-Forchheimer-extended Darcy model in a porous medium containing an incompressible, viscous fluid. The governing dimensionless equations are solved in terms of stream function, vorticity and temperature. The problem geometry is a unit square cavity with either partially heated top and bottom walls or hot steps at the middle of these walls. DRBEM provides one to obtain the expected behavior of the flow in considerably small computational cost due to the discretization of only the boundary, and to compute the space derivatives in convective terms as well as unknown vorticity boundary conditions using coordinate matrix constructed by radial basis functions. The Backward-Euler time integration scheme is utilized for the time derivatives. The decrease in Darcy number suppresses heat transfer while heat transfer increases for larger values of porosity, and the natural convection is pronounced with the increase in Rayleigh number.

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Pekmen Geridonmez, Bengisen/0000-0002-3073-6284; Tezer-Sezgin, Munevver/0000-0001-5439-3477

Keywords

DRBEM, Natural convection, Porous medium, Brinkman-Forchheimer-extended Darcy model

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4

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14th International Conference of Computational and Mathematical Methods in Science and Engineering (CMMSE) -- JUL 03-07, 2014 -- Rota, SPAIN

Volume

53

Issue

3

Start Page

911

End Page

924

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