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Capillary-gravity waves produced by a moving pressure distribution

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Summary

The initial-value problem of surface waves generated by a moving oscillatory pressure distribution is considered and the effect of surface tension on such waves is studied in detail. It is found that the surface tension modifies the critical case in a remarkable way. And also it introduces two extra waves that exist in the upstream side of the pressure distribution.

Zusammenfassung

Das Anfangswertproblem der Oberflächenwellen die durch eine bewegte oszillierende Druckverteilung erzeugt werden, wird behandelt und der Einfluss der Oberflächenspannung wird ausführlich untersucht. Es wird gefunden, dass die Oberflächenspannung den kritischen Fall in bemerkenswerter Weise beeinflusst, und auch zwei besondere Wellen stromaufwärts von der Druckstörung verursacht.

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References

  1. P. Kaplan,The Waves Generated by the Forward Motion of Oscillatory Pressure Distribution, Proc. 5th Midwest Conf. Fluid Mech., 316 (1957).

  2. L. Debnath andS. Rosenblat,The Ultimate Approach to the Steady State in the Generation of Waves on a Running Stream, Quart. J. Mech. Appl. Math.22, 221 (1969).

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  4. A. K. Pramanik,The Waves Generated by a Moving Oscillatory Surface Pressure on a Sloping Beach, ZAMM,53, 10 (1973).

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  5. H. Lamb,Hydro-dynamics, Dover Publications, New York, 1945.

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Authors and Affiliations

  1. Dept. of Applied Mathematics, University College of Science, Calcutta, INDIA

    A. K. Pramanik

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  1. A. K. Pramanik
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Pramanik, A.K. Capillary-gravity waves produced by a moving pressure distribution. Journal of Applied Mathematics and Physics (ZAMP) 31, 174–180 (1980). https://doi.org/10.1007/BF01601711

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  • DOI: https://doi.org/10.1007/BF01601711

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