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Surface waves in a rotating fluid due to sources and internal boundaries

Oberflächenwellen in einer rotierenden Flüssigkeit als Folge von Quellen und Randbedingungen

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Summary

The problem of surface waves generated by an oscillatory point source oscillating with frequency ω in a fluid rotating with constant angular velocity Ω has been investigated. The Green's function solution is obtained for an unbounded region and a region bounded internally by a circular cylinder using an appropiate Fourier transform. It is seen that in the case when ω>2Ω, the surface waves are similar to the ones existing in a potential flow but when ω<2Ω, the surface waves correspond to the inertial waves which are generated entirely due to rotation and have no counterpart in a non-rotating fluid motion.

Zusammenfassung

Es wird das Problem der Erzeugung von Oberflächenwellen durch eine oszillierende Punktquelle (Frequenz ω) in einer rotierenden Strömung (Winkelgeschwindigkeit Ω) untersucht. Die Greensche Funktion wird für einen unbegrenzten Bereich sowie für das Äußere eines Kreiszylinders durch eine geeignete Fouriertransformation hergeleitet. Für ω>2Ω sind die Oberflächenwellen ähnlich denen einer Potentialströmung, für ω<2Ω ergeben sich Wellen, die vollständig durch die Drehbewegung bedingt sind und die kein Gegenstück im nichtrotierenden Fall besitzen.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, 560012, Bangalore, India

    A. Ramachandra Rao

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  1. A. Ramachandra Rao
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Rao, A.R. Surface waves in a rotating fluid due to sources and internal boundaries. Acta Mechanica 31, 13–23 (1978). https://doi.org/10.1007/BF01261184

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  • DOI: https://doi.org/10.1007/BF01261184

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