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A note on rotationally symmetric flow above an infinite rotating disc

Published online by Cambridge University Press:  26 February 2010

J. B. McLeod
J. B. McLeod
Affiliation:
Wadham College, Oxford.
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Extract

The fluid mechanical problem with which we are concerned is the behaviour of fluid occupying the half-space x > 0 above a rotating disc which is coincident with the horizontal plane x = 0 and rotating about its axis which remains fixed. Studying rotationally symmetric solutions of this problem, von Kármán [1] (see also [2; p. 93]; [3; p. 133]) reduced it to the solution of two simultaneous equations in functions f(x), g(x) which may, with suitable normalisation, be written in the form

with the boundary conditions

Type
Research Article
Information
Mathematika , Volume 17 , Issue 2 , December 1970 , pp. 243 - 249
Copyright
Copyright © University College London 1970

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References

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