Two-dimensional wave motion in a viscous homogeneous liquid

A. A. Ochirov; Очиров А. А.

doi:10.31857/S036767652270017X

Two-dimensional wave motion in a viscous homogeneous liquid

Authors: Ochirov A.A.¹^,2
Affiliations:
1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
2. Demidov Yaroslavl State University
Issue: Vol 87, No 1 (2023)
Pages: 94-98
Section: Articles
URL: https://genescells.ru/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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