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A note on the separation of slow viscous flow near a sharp edge

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

S. H. Smith
S. H. Smith
Affiliation:
Department of Mathematics, University of Toronto, Toronto, M5S 1A1, Canada
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Abstract

A particular solution to the biharmonic equation is described which represents a slow viscous flow near a sharp edge. It shows separation streamlines which are tangential to the plate at the edge, when the dominant behaviour there is a combination of the flow around the edge (which provides zero vorticity on the plate) plus a simple linear shear.

MSC classification

Secondary: 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Mathematika , Volume 44 , Issue 2 , December 1997 , pp. 239 - 244
Copyright
Copyright © University College London 1997

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References

1.Michael, D. H. and O'Neill, M. E.. The separation of Stokes flows. J. Fluid Mech., 80 (1977). 785–794.Google Scholar
2.Moffatt, H. K.. Viscous and resistive eddies near a sharp corner. J. Fluid Mech., 18 (1964), 1–18.Google Scholar
3.Carrier, G. F. and Lin, C. C.. On the nature of the boundary layer near the leading edge of a flat plate. Quart. Appl. Math., 6 (1948), 63–68.CrossRefGoogle Scholar
4.Stewartson, K.. On the flow near the trailing edge of a flat plate II. Mathematika, 16 (1969), 106121.Google Scholar
5.Payne, L. E. and Pell, W. H.. The Stokes flow problem for a class of axially symmetric bodies. J. Fluid Mech., 17 (1960), 529–549.Google Scholar