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Diffraction of surface waves on an incompressible fluid

Published online by Cambridge University Press:  28 March 2006

W. E. Williams
W. E. Williams
Affiliation:
Department of Applied Mathematics, Liverpool University
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Abstract

The problem considered is that of the diffraction of the field of a point source in a fluid of infinite depth by an infinite vertical cylinder. It is shown that the surface wave component of the velocity potential may be expressed in terms of the solution to a classical electromagnetic (or acoustic) diffraction problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 253 - 256
Copyright
© 1965 Cambridge University Press

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References

Churchill, R. V. 1958 Operational Mathematics, p. 228. New York: McGraw Hill.
Jones, D. S. 1964 Theory of Electromagnetism. London: Pergamon Press.
Levine, H. 1963 J. Fluid Mech. 15, 241.
Seshadri, S. R. 1959 Proc. Nat. Inst. Sci., India, A, 25, 301.
Voit, S. S. 1961 J. Appl. Math. Mech. (transl. from Russian Prik. Mat. i Mek.) 25, 545.
Wehausen, J. V. & Laitone, E. V. 1960 Handbuch der Physik, 9, 544.