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

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 ar...

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Bibliographic Details
Published in:Journal of the Australian Mathematical Society. Series B, Applied mathematics Applied mathematics, 1999-07, Vol.41 (1), p.118-128
Main Author: Makinde, O. D.
Format: Article
Language:English
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Summary: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.
ISSN:0334-2700
1839-4078
DOI:10.1017/S0334270000011073