Title

Natural Convection Heat Transfer Of A Viscous Fluid In A Vertical Porous Channel

Keywords

Degree theory; Galerkin-Legendre Spectral Method; Green's functions; Newtonian fluid

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. © 2011 Springer Science+Business Media B.V.

Publication Date

1-1-2012

Publication Title

Journal of Engineering Mathematics

Volume

74

Issue

1

Number of Pages

61-71

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10665-011-9489-x

Socpus ID

84860885390 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84860885390

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