https://doi.org/10.1140/epjs/s11734-025-02056-2
Regular Article
Rayleigh–Taylor instability in non-ideal finite thickness media
1
Instituto de Investigaciones Energéticas (INEI), E.I.I.A., Universidad de Castilla-La Mancha, 45071, Toledo, Spain
2
Instituto de Investigaciones Energéricas (INEI), Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain
3
GSI Helmholtzzentrum für Schwerionenforschung Darmstadt, Planckstrasse 1, 64291, Darmstadt, Germany
a
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Received:
7
July
2025
Accepted:
31
October
2025
Published online:
11
November
2025
Abstract
We review the results of a novel approximation that considers only first order vorticity effects on the linear regime of the Rayleigh–Taylor instability in an incompressible and immiscible non-ideal fluid layer when its top surface is in contact with a rigid wall. Then, we extend them to the cases in which such a boundary is instead a free surface. These constitute two families of problems that allow for considering a wide variety of situations. The results of this quasi-irrotational approach are in excellent agreement with the exact ones, showing that the mathematical complexities introduced by the vorticity do not correspond to its physical relevance for the instability dynamics.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
S. A. Piriz, A. R. Piriz, and N. A. Tahir have contributed equally to this work.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
