Journal of Fluid Mechanics

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

M.  Gaster a1
a1 College of Aeronautics, Cranfield

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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.

(Published Online March 28 2006)
(Received April 16 1962)

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