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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

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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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