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Interfacial cnoidal waves in a toroidal channel of arbitrary cross section

Cn-oidale Wellen an Grenzflächen in einem Toruskanal beliebigen Querschnitts arbitrary cross section

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Summary

We have studied in this paper irrotational cnoidal waves at the interface of a two-fluid system over a toroidal channel of arbitrary cross section. Also we have discussed here interfacial cnoidal waves in a straight channel of arbitrary cross section. Further, we have worked out some special cases and it is found that the results of our analysis are in agreement withBenjamin [7] andLong [12] etc.

Zusammenfassung

Drehungsfreie cn-oidale Wellen an der Grenzfläche zwischen zwei Flüssigkeiten in einem Toruskanal beliebigen Querschnitts wurden studiert. Der Fall eines geraden Kanals wurde gleichfalls untersucht. Einige Spezialfälle wurden durchgerechnet und Übereinstimmung mit den Ergebnissen vonBenjamin [7] undLong [12] gefunden.

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  1. C.S.I.R. Research Fellow Department of Mathematics, Indian Institute of Technology, Kharagpur, (W. Bengal), India

    S. V. Raman

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  1. S. V. Raman
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Raman, S.V. Interfacial cnoidal waves in a toroidal channel of arbitrary cross section. Acta Mechanica 10, 1–18 (1970). https://doi.org/10.1007/BF01176652

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  • DOI: https://doi.org/10.1007/BF01176652

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