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

  • M. Gaster (a1)
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.

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References
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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.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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