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Remarks on the problem of slow motions in a rotating fluid

Published online by Cambridge University Press:  24 October 2008

G. W. Morgan  and
K. Stewartson
G. W. Morgan
Affiliation:
Brown UniversityProvidence 12 Rhode Island, U.S.A.
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Extract

This note is concerned with the problem of the slow motions of an inviscid, incompressible rotating fluid, and in particular with the motion of a sphere along the axis of rotation. This problem was studied recently by Stewartson (2), who overcomes the principal mathematical difficulty, viz. that of formulating the problem in a coordinate system in which the appropriate differential equation can be solved simply and in which the sphere is a coordinate surface, by a very elegant transformation of independent variables. Stewartson, however, uses inappropriate initial conditions. It is the purpose of this note to discuss the question of initial conditions in the light of results previously obtained by the writer (1).

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 2 , April 1953 , pp. 362 - 364
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Morgan, G. W.Proc. roy. Soc. A, 206 (1951), 108.Google Scholar
(2)Stewartson, K.Proc. Camb. phil. Soc. 48 (1952), 168.CrossRefGoogle Scholar