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Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel

Published online by Cambridge University Press:  17 February 2009

O. D. Makinde
O. D. Makinde
Affiliation:
Applied Mathematics Department, University of the North, Private Bag X1106, Sovenga 0727, South Africa
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Abstract

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In this paper, we exploit a new series summation and convergence improvement technique (that is, Drazin and Tourigny [5]), in order to study the steady flow of a viscous incompressible fluid both in a porous pipe with moving walls and an exponentially diverging asymmetrical channel. The solutions are expanded into Taylor series with respect to the corresponding Reynolds number. Using the D-T method, the bifurcation and the internal flow separation studies are performed.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 1 , July 1999 , pp. 118 - 128
Copyright
Copyright © Australian Mathematical Society 1999

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