The gravity waves created by a moving source in a fluid of finite depth-Reference-Cited by-同舟云学术

The gravity waves created by a moving source in a fluid of finite depth

Published:1992 Issue:3 Volume:50 Page:437-449
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Pramanik A. K.,Majumdar M.

Abstract

The linear gravity waves created by a moving oscillatory source are considered in a fluid of finite uniform depth bounded on one side by a vertical cliff. The unsteady asymptotic waves are determined by Bliestien’s asymptotic expansion to the exact Fourier transform solution. Several physically interesting results are obtained. The fronts of each of the waves generated by the source are determined for all times and for all values of the parameters. The physical cause of the singularity of solution for certain values of the parameters is explained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1992-50-03/S0033-569X-1992-1178426-5/S0033-569X-1992-1178426-5.pdf

Reference5 articles.

1. On the excitation of nonlinear water waves by a moving pressure distribution oscillating at resonant frequency;Akylas, T. R.;Phys. Fluids,1984

2. Uniform asymptotic expansions of integrals with stationary point near algebraic singularity;Bleistein, Norman;Comm. Pure Appl. Math.,1966

3. L. Debnath and S. Rosenblat, The ultimate approach to the steady state in the generation of waves on a running stream, Quart. J. Mech. Appl. Math. 22, 221–233 (1969)

4. A. K. Pramanik and S. R. Majumdar, Small amplitude free surface waves generated by moving oscillatory disturbances, J. Fluid Mech. 145, 405–415 (1984)

5. Asymptotic analysis of waves due to oscillatory surface pressure over a sloping beach;Sarkār, Purnā;SIAM J. Appl. Math.,1982

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