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A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability

Published online by Cambridge University Press:  28 March 2006

M. Gaster
M. Gaster
Affiliation:
College of Aeronautics, Cranfield
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Abstract

The frequency and amplification rates for a disturbance growing with respect to time are compared with those of a spatially-growing wave having the same wave-number. For small rates of amplification it is shown that the frequencies are equal to a high order of approximation, and that the spatial growth is related to the time growth by the group velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 2 , October 1962 , pp. 222 - 224
Copyright
© 1962 Cambridge University Press

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References

Shen, S. F. 1954 J. Aero. Sci. 21, 62.
Squire, H. B. 1933 Proc. Roy. Soc. A, 142, 621.
Watson, J. 1962 J. Fluid Mech. 14, 211.