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Surface oscillation due to marangoni-effect in a freely floating sphere

Oberflächenschwingungen des Kugeltropfens unter dem Einfluß des Marangoni-Effektes

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Summary

Time-wise fluctuating temperature gradients induce, due to the variation of surface tension, oscillation of the free surface of the liquid sphere, which may in or close to resonance with the surface waves lead to large amplitudes, capable to disintegrate the liquid system. An analytical solution leading to the magnification functions and their phases is presented for an arbitrary axial temperature field. For a linear and a quadratic temperature field numerical results are presented.

Übersicht

Zeitliche Temperaturgradientenschwankungen, die eine Variation der Oberflächenspannung hervorrufen, fachen Oberflächenwellen an, die bei Annäherung an die Resonanzen der Flüssigkeitskugel große Amplituden ergeben, die zur Disintegration des Flüssigkeitstropfens führen können. Es werden analytische Lösungen des Systems für ein beliebiges axiales Temperaturfeld angegeben. Aus diesen können Vergrößerungsfunktionen und ihre Phasen bestimmt werden. Für ein lineares und ein quadratisches axiales Temperaturfeld werden numerische Ergebnisse angegeben.

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Authors and Affiliations

  1. FB Luft- und Raumfahrttechnik, Hochschule der Bundeswehr München, Werner-Heisenberg-Weg 39, D-8014, Neubiberg, Germany

    H. F. Bauer

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Bauer, H.F. Surface oscillation due to marangoni-effect in a freely floating sphere. Ing. arch 53, 275–287 (1983). https://doi.org/10.1007/BF00532247

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  • DOI: https://doi.org/10.1007/BF00532247

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