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Some elementary exact channel flows

Published online by Cambridge University Press:  17 February 2009

Neville de Mestre  and
Trevor Pakes
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Abstract

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New polynomial solutions of the Navier-Stokes equations for steady uni-directional flow of viscous incompressible fluid, with a free surface, down inclined channels of specialized cross-section are considered. An inverse method is uded to obtain the geometrical shape of the channel by equating the polynomials solution to zero (i.e. the no-slip condition) and thence determining the boundary shape.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 4 , April 1983 , pp. 484 - 491
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Langlois, W. E., Slow viscous flow (Macmillan, New York, 1964).Google Scholar
[2]Sokolnikoff, I. S., Mathematical theory of elasticity (McGraw Hill, New York, 2nd edition, 1956).Google Scholar