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Stability criteria for swirl flows with free surfaces

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Abstract

A swirl flow with a free surface is susceptible to centrifugal, capillary, and Rayleigh-Taylor instabilities. The present work extends the stability criteria of Rayleigh and Synge for inviscid and viscous fluids, respectively, to free-surface configurations.

Résumé

Un écoulement tourbillonnaire admettant une surface libre est susceptible de présenter des instabilités du type centrifuge, capillaire et Rayleigh-Taylor. Notre travail étend les critères de stabilité obtenus par Rayleigh et Synge respectivement pour des fluides parfaits et visqueux aux cas des configurations à surface libre.

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Authors and Affiliations

  1. Section of Physics and Applied Mathematics, Dept. of Electrical Engineering, Democritus University of Thrace, 67100, Xanthi, Greece

    M. A. Boudourides

  2. Dept. of Engineering Sciences & Applied Mathematics, The Technological Institute, Northwestern University, 60201, Evanston, IL, USA

    S. H. Davis

Authors
  1. M. A. Boudourides
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  2. S. H. Davis
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Boudourides, M.A., Davis, S.H. Stability criteria for swirl flows with free surfaces. Z. angew. Math. Phys. 37, 597–607 (1986). https://doi.org/10.1007/BF00945432

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  • DOI: https://doi.org/10.1007/BF00945432

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