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

    Authors

    F. T. Akyildiz; D. A. Siginer; K. Vajravelu;R. A. Van Gorder

    Comments

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    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

    WOS:000304104400006

    ISSN

    0022-0833

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