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Three-dimensional Stokes flow

Published online by Cambridge University Press:  17 April 2009

J.J. Mahony
J.J. Mahony
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
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Abstract

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A method is present for simplifying the calculation of steady Stokes flows. It is applicable for domains which are essentially half spaces and utilizes a special vector stream potential to decouple the boundary conditions. The results are applied to estimate the effect of no-shear zones on a shear flow.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 1 , August 1972 , pp. 77 - 89
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Benjamin, T. Brooke and Mahony, J.J., “On an invariant property of water waves”, J. Fluid Mech. 49 (1971), 385–390.CrossRefGoogle Scholar
[2]Jeffreys, Harold and Jeffreys, Bertha Swirles, Methods of mathematical physics, 3rd ed. (Cambridge University Press, Cambridge, 1956).Google Scholar
[3]Lamb, Horace, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, 1932).Google Scholar
[4]Levey, H.C. and Wynter, P.E., “The circular wing and related problems”, Proc. Roy. Soc. Ser. A 268 (1962), 390–404.Google Scholar
[5]Philip, J.R., “Flows satisfying mixed no-slip and no-shear conditions”, submitted to Z. angew. Math. Phys.Google Scholar
[6]Williams, W.E., “Boundary effects in Stokes flows”, J. Fluid Mech. 24 (1966), 285–291.CrossRefGoogle Scholar