Open AccessWave formation in a two-layer liquid under the action of a source
Author(s) -
E. A. Mikishanina
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1399/5/055017
Subject(s) - action (physics) , boundary layer , layer (electronics) , mechanics , boundary (topology) , flow (mathematics) , boundary value problem , mathematical analysis , mathematics , physics , materials science , nanotechnology , quantum mechanics
The article is devoted to the construction of an analytical algorithm for solving the problem of the formation of waves in a two-layer liquid from a source located in the upper layer. In the course of the solution, the problem is reduced to a boundary value problem for a system of differential equations with respect to the velocity potentials of the perturbed flow of liquids, which was divided into three simpler boundary value problems. Expressions characterizing the evolution of the free boundary and the line of separation of media were also obtained. Conclusions are drawn about the influence of density difference, layer depth and power of the source on the wave formation process.