Title

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

Authors

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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