Two Types of Waves in a Two-Layer Stratified Fluid
| Autor: | Rudenko, A.I. |
|---|---|
| Jazyk: | English<br />Russian |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, Vol 2023, Iss 2, Pp 111-125 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2079-6641 2079-665X |
| DOI: | 10.26117/2079-6641-2023-43-2-111-125 |
| Popis: | Within the framework of the linear theory of small potential oscillations the article studies the structure and characteristics of internal and surface waves in a two-layer stably stratified fluid. Dispersion relations have been obtained and analyzed. The Boussinesq approximation has been studied. We have determined the existence of two types of waves: a fast wave and a slow wave. The fast wave differs little from a surface wave in a homogeneous fluid. The main results of studying the case of n=1 are as follows: obtaining expressions for fluid particles velocity components and hydrodynamic pressure in the upper layer of the considered two-layer fluid, as well as obtaining relations, which connect the oscillation amplitudes of the free surface and the interface of the considered two-layer fluid. The main results of studying the case of n=2 are as follows: obtaining expressions for fluid particles velocity components and hydrodynamic pressure in the lower layer of the considered two-layer fluid, as well as obtaining dispersion relations in the considered two-layer fluid. In the case of implementing the Boussinesq approximation, the fast wave differs little from a surface wave in a homogeneous fluid, andthe velocity of slow waves is proportional to the square root of the squared ratio ρ/Δρ, i.e. it is very small. |
| Databáze: | Directory of Open Access Journals |
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