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Two Types of Waves in a Two-Layer Stratified Fluid
- Source :
- Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, Vol 2023, Iss 2, Pp 111-125 (2023)
- Publication Year :
- 2023
- Publisher :
- KamGU by Vitus Bering, 2023.
-
Abstract
- 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.
Details
- Language :
- English, Russian
- ISSN :
- 20796641 and 2079665X
- Volume :
- 2023
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1c90711a3b8c4540851f2ae803bbe12c
- Document Type :
- article
- Full Text :
- https://doi.org/10.26117/2079-6641-2023-43-2-111-125