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UNIQUENESS OF FREE-BOUNDARY FLOWS UNDER GRAVITY

Abstract:

A class of steady potential flows of an ideal fluid is considered in which the fluid flows between fixed boundaries and then emerges as a jet with one free boundary. Gravity acts on the fluid perpendicularly to the direction of the jet at infinity downstream. An inverse Froude number α is defined in terms of the flux Q and the depth d of the fluid at the separation point. It is proved that for each α>0 there is at most one flow which reaches to a supercritical uniform stream depth at infin...

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Publication status:
Published

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Publisher copy:
10.1007/BF00249586

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Publisher:
Springer-Verlag
Journal:
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume:
78
Issue:
4
Pages:
361-380
Publication date:
1982-01-01
DOI:
EISSN:
1432-0673
ISSN:
0003-9527
URN:
uuid:bc221002-6767-4d89-a0e8-78b6eb24bdbd
Source identifiers:
28975
Local pid:
pubs:28975
Language:
English

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