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Periodic Surface Disturbances in a Concentration-Stratified Viscous Fluid

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The propagation of two-dimensional periodic capillary-gravitational periodic disturbances of a free surface in a viscous uniformly stratified liquid is investigated. Dispersion relations describing periodic surface flows of physical quantities are obtained. It is shown that there are additional flow components that are absent in the model of an ideal fluid. The obtained dispersion relations uniformly converge to the known expressions in the limit transitions.

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Funding

This work was supported by the Russian Science Foundation, project no. 19-19-00598-P “Hydrodynamics and Energetics of Drops and Droplet Jets: Formation, Movement, Decay, and Interaction with the Contact Surface,” https://rscf.ru/project/19-19-00598/.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia

    A. A. Ochirov

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  1. A. A. Ochirov
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Correspondence to A. A. Ochirov.

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Translated by V. Selikhanovich

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Ochirov, A.A. Periodic Surface Disturbances in a Concentration-Stratified Viscous Fluid. Bull. Russ. Acad. Sci. Phys. 88, 132–137 (2024). https://doi.org/10.1134/S106287382370510X

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  • DOI: https://doi.org/10.1134/S106287382370510X

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