UNSTEADY BOUNDARY LAYERS: CONVECTIVE HEAT TRANSFER OVER A VERTICAL FLAT PLATE

    Authors

    R. A. Van Gorder;K. Vajravelu

    Comments

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    Abbreviated Journal Title

    Anziam J.

    Keywords

    unsteady boundary layers; coupled nonlinear ordinary differential; equations; similarity solution; analytical solution; numerical solution; STRETCHING SHEET; SERIES SOLUTIONS; FLOW; SURFACE; Mathematics, Applied

    Abstract

    In this paper, we extend the results in the literature for boundary layer flow over a horizontal plate, by considering the buoyancy force term in the momentum equation. Using a similarity transformation, we transform the partial differential equations of the problem into coupled nonlinear ordinary differential equations. We first analyse several special cases dealing with the properties of the exact and approximate solutions. Then, for the general problem, we construct series solutions for arbitrary values of the physical parameters. Furthermore, we obtain numerical solutions for several sets of values of the parameters. The numerical results thus obtained are presented through graphs and tables and the effects of the physical parameters on the flow and heat transfer characteristics are discussed. The results obtained reveal many interesting behaviours that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

    Journal Title

    Anziam Journal

    Volume

    50

    Issue/Number

    4

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    541

    Last Page

    549

    WOS Identifier

    WOS:000273212700008

    ISSN

    1446-1811

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