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Effects of viscosity on ship waves

Published online by Cambridge University Press:  28 March 2006

E. Cumberbatch
E. Cumberbatch
Affiliation:
Mathematics Department, University of Leeds
Now at the Division of Mathematical Sciences, Purdue University, Lafayette, Indiana.
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Abstract

The effect of viscosity on the trailing-wave system well downstream of a uniformly moving surface disturbance is determined. Solutions are obtained by series expansions in inverse powers of a Reynolds number and coefficients in the viscous exponential decay-factor found. It is seen that the diverging wave pattern is much more heavily damped than the transverse waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 3 , November 1965 , pp. 471 - 479
Copyright
© 1965 Cambridge University Press

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References

Crapper, G. D. 1964 Surface waves generated by a travelling pressure point. Proc. Roy. Soc. A. 282, 547.Google Scholar
Lighthill, M. J. 1960 Studies on magnetohydrodynamic waves and other anisotropic wave motions. Phil. Trans. A, 252, 397.Google Scholar
Peters, A. S. 1949 A new treatment of the ship wave problem. Comm. Pure Appl. Math. 2, 123.Google Scholar
Thomson, W. (Lord Kelvin) 1891 Popular Lectures and Addresses, vol. 3, p. 481. London: MacMillan.
Ursell, F. 1960 On Kelvin's ship wave pattern. J. Fluid Mech. 8, 418.Google Scholar
Wehausen, J.V. & Laitone, E. 1960 Surface waves. Handbuch der Physik, vol. 9. Berlin: Springer.
Wu, T. Y. & Messick, R. E. 1958 Viscous effect on surface waves generated by steady disturbances. Caltech. Rep. no. 85-8.Google Scholar