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On the stability of two superposed fluids

Published online by Cambridge University Press:  24 October 2008

A. J. Willson
A. J. Willson
Affiliation:
University of Leicester
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Abstract

The dispersion equation describing the character of the equilibrium of two viscous incompressible superposed fluids under the action of gravity is considered in detail. Approximations for extreme wave-numbers are obtained and exact numerical results for particular cases are given. The existence of certain secondary modes is also considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 595 - 607
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Bellman, R. and Pennington, R. H.Quart. Appl. Math. 12 (1954), 151–162.CrossRefGoogle Scholar
(2)Chandrasekhar, S.Proc. Cambridge Philos. Soc. 51 (1955), 162–178.CrossRefGoogle Scholar
(3)Chandrasekhar, S.Hydrodynamic and hydromagnetic stability (Oxford, 1961).Google Scholar
(4)Harrison, W. J.Proc. London Math. Soc. 6 (1908), 396–405.CrossRefGoogle Scholar
(5)Hide, R.Proc. Cambridge Philos. Soc. 51 (1955), 179–201.CrossRefGoogle Scholar
(6)Lamb, H.Hydrodynamics (6th ed.; Cambridge, 1931).Google Scholar
(7)Reid, W. H.Proc. Cambridge Philos. Soc. 57 (1961), 415–425.CrossRefGoogle Scholar
(8)Tchen, C.-M.J. Appl. Phys. 27 (1956), 760–767.CrossRefGoogle Scholar