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Two-dimensional wave motion in a viscous homogeneous liquid
- Authors: Ochirov A.A.1,2
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Demidov Yaroslavl State University
- Issue: Vol 87, No 1 (2023)
- Pages: 94-98
- Section: Articles
- URL: https://rjpbr.com/0367-6765/article/view/654509
- DOI: https://doi.org/10.31857/S036767652270017X
- EDN: https://elibrary.ru/JTPIDR
- ID: 654509
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Abstract
The propagation of two-dimensional periodic capillary-gravitational waves in a viscous homogeneous liquid with a free surface in the frequency range from \(5 \cdot {{10}^{{ - 2}}}\) to \(5 \cdot {{10}^{4}}\) Hz is investigated. Dispersion relations are obtained, as well as expressions for phase and group velocities for surface waves in physically observable variables. It is shown that there is another class of solutions that is not observed in the ideal fluid model.
About the authors
A. A. Ochirov
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Demidov Yaroslavl State University
Author for correspondence.
Email: otchirov@mail.ru
Russia, 119526, Moscow; Russia, 150000, Yaroslavl
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