Natural convection heat transfer of a viscous fluid in a vertical porous channel

Journal article

Authors / Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Akyildiz FT, Siginer DA, Vajravelu K, Van Gorder RA

Publisher: Springer

Place: DORDRECHT

Publication year: 2012

Journal: Journal of Engineering Mathematics (0022-0833)

Journal acronym: J ENG MATH

Volume number: 74

Issue number: 1

Start page: 61

End page: 71

Number of pages: 11

ISSN: 0022-0833

eISSN: 1573-2703

Languages: English-Great Britain (EN-GB)

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Abstract

Approximate analytic solutions to second-order nonlinear systems arising in natural convection flow and heat transfer in vertical porous channels are obtained via the Galerkin-Legendre Spectral Method. Furthermore, existence, uniqueness, and concavity results are established using Green's functions and degree theory. We find that an increase in either the Darcy number or the quadratic density temperature variation results in an increase in the velocity and the temperature of a Newtonian fluid. Finally, parametric zones for the occurrence of reverse flow are considered, and the resulting influences on the obtained approximate solutions are analyzed.

Keywords

Degree theory, Galerkin-Legendre spectral method, Green's functions, Newtonian fluid

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