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

F. Talay Akyildiz, Dennis A. Siginer, K. Vajravelu, Robert A. van Gorder

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)61-71
Number of pages11
JournalJournal of Engineering Mathematics
Volume74
Issue number1
DOIs
Publication statusPublished - Jun 1 2012

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Natural Convection
Natural convection
Viscous Fluid
Heat Transfer
Vertical
Heat transfer
Degree Theory
Fluids
Concavity
Second-order Systems
Newtonian Fluid
Legendre
Spectral Methods
Analytic Solution
Green's function
Galerkin
Nonlinear systems
Reverse
Approximate Solution
Existence and Uniqueness

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

Akyildiz, F. Talay ; Siginer, Dennis A. ; Vajravelu, K. ; van Gorder, Robert A. / Natural convection heat transfer of a viscous fluid in a vertical porous channel. In: Journal of Engineering Mathematics. 2012 ; Vol. 74, No. 1. pp. 61-71.
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Natural convection heat transfer of a viscous fluid in a vertical porous channel. / Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; van Gorder, Robert A.

In: Journal of Engineering Mathematics, Vol. 74, No. 1, 01.06.2012, p. 61-71.

Research output: Contribution to journalArticle

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