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The separation of a viscous liquid at a straight edge

Published online by Cambridge University Press:  26 February 2010

D. H. Michael
D. H. Michael
Affiliation:
University College, London.
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Extract

It is well known that a first approximation to the flow of a viscous liquid in the neighbourhood of a boundary with a corner may be obtained by solving the linearized equations of momentum neglecting the inertia terms. This has been done by Dean and Montagnon [1] for the plane steady flow near a corner formed by two inclined planes. The following is a similar analysis of the modes by which a liquid can form a free surface starting at the edge of a rigid boundary. The formulation differs from that of Dean and Montagnon mainly in that the angle at which the free surface is formed is in the first place unspecified and has to be determined from the analysis.

Type
Research Article
Information
Mathematika , Volume 5 , Issue 1 , June 1958 , pp. 82 - 84
Copyright
Copyright © University College London 1958

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References

1.Dean, W. R. and Montagnon, P. E., Proc. Cambridge Phil. Soc, 45 (1949), 389.Google Scholar