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On the swirling flow between rotating coaxial disks, asymptotic behaviour, I

Published online by Cambridge University Press:  14 November 2011

Heinz Otto Kreiss  and
Seymour V. Parter
Heinz Otto Kreiss
Affiliation:
California Institute of Technology, Pasadena, California, U.S.A
Seymour V. Parter
Affiliation:
University of Wisconsin-Madison, Madison, Wisconsin, U.S.A
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Synopsis

Consider solutions 〈H(x, ε), G(x, ε)〉 of the von Kármán equations for the swirling flow between two rotating coaxial disks

and

We also assume that |H(x, ε)|≦B√(ε) while |G(x, ε)|≦B. This work considers the shapes and asymptotic behaviour as ε→0+. We consider the kind of limit functions that are permissible. The only possible limits (interior) for G(x, ε) are constants. If that limit constant is not zero, then ε−½H(x, ε) will also tend to a constant.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 293 - 316
Copyright
Copyright © Royal Society of Edinburgh 1981

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