Capillary waves in an inhomogeneous three-layer liquid with a free surface
- Authors: Shiryaeva S.O.1, Grigor’ev A.I.1, Zav’yalov D.A.1
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Affiliations:
- Demidov State University
- Issue: Vol 61, No 6 (2016)
- Pages: 849-854
- Section: Gases and Liquids
- URL: https://journals.rcsi.science/1063-7842/article/view/197305
- DOI: https://doi.org/10.1134/S1063784216060220
- ID: 197305
Cite item
Abstract
In the domain of capillary waves, a bicubic dispersion relation is derived and analyzed for surface and internal capillary–gravitational waves in a three-layer liquid with a free surface. It is shown that the ratio of the internal wave amplitudes to the surface wave amplitudes is fairly large if the trivial condition of a “homogeneous liquid” is discarded. The amplitude ratio between the internal waves themselves (generated at different interfaces) may be both greater and smaller than unity depending on the physical parameters of the system. Specifically, it strongly depends on the densities of the layers and their thicknesses.
About the authors
S. O. Shiryaeva
Demidov State University
Author for correspondence.
Email: shir@uniyar.ac.ru
Russian Federation, Sovetskaya ul. 14, Yaroslavl, 150007
A. I. Grigor’ev
Demidov State University
Email: shir@uniyar.ac.ru
Russian Federation, Sovetskaya ul. 14, Yaroslavl, 150007
D. A. Zav’yalov
Demidov State University
Email: shir@uniyar.ac.ru
Russian Federation, Sovetskaya ul. 14, Yaroslavl, 150007