Title
Natural convection heat transfer of a viscous fluid in a vertical porous channel
Abbreviated Journal Title
J. Eng. Math.
Keywords
Degree theory; Galerkin-Legendre Spectral Method; Green's functions; Newtonian fluid; MIXED CONVECTION; DISSIPATION; FLOW; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications
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.
Journal Title
Journal of Engineering Mathematics
Volume
74
Issue/Number
1
Publication Date
1-1-2012
Document Type
Article
Language
English
First Page
61
Last Page
71
WOS Identifier
ISSN
0022-0833
Recommended Citation
"Natural convection heat transfer of a viscous fluid in a vertical porous channel" (2012). Faculty Bibliography 2010s. 2207.
https://stars.library.ucf.edu/facultybib2010/2207
Comments
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