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Kelvin–Helmholtz wave growth on cylindrical sheets

Published online by Cambridge University Press:  29 March 2006

G. D. Crapper ,
N. Dombrowski  and
G. A. D. Pyott
G. D. Crapper
Affiliation:
University of Leeds Present address: Department of Applied Mathematics and Theoretical Physics, University of Liverpool.
N. Dombrowski
Affiliation:
University of Leeds
G. A. D. Pyott
Affiliation:
University of Leeds
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Abstract

A first-order analysis of Kelvin-Helmholtz wave growth on cylindrical sheets is carried out. It is demonstrated that the growth rate of both symmetric and antisymmetric waves increases significantly with reduction of the radius of the core.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 3 , 15 April 1975 , pp. 497 - 502
Copyright
© 1975 Cambridge University Press

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References

Clark, C. J. & Dombrowski N. 1972 Proc. Roy. SOC. A 329, 467.
Crapper G. D., Dombrowski, N. & Jepson W. P. 1975 Wave growth on thin sheets of non-Newtonian liquids. Proc. Roy. SOC. A (to appear).Google Scholar
Crapper G. D., Dombrowski N., Jepson, W. P. & Pyott G. A. D. 1973 J. Fluid Mech. 57, 671.
Hagerty, W. W. & Shea J. F. 1955 J. Appl. Mech. 22, 509.
Squire H. B. 1953 Brit. J. Appl. Phys. 4, 167.