Investigation of the energy of wave motions in a three-layer hydrodynamic system

Abstract

In this paper, the propagation of the energy of internal waves in a three-layer hydrodynamic liquid system ‘a layer with a solid bottom–a layer–a layer with a lid’ is investigated. The problem statement is executed in a dimensionless form. Using the method of multidimensional development, the first three linear problems were obtained. For the first approximation problem, a dispersion equation of the first order is derived, and two pairs of independent solutions are obtained. The dependence of total energy on the wave number and thickness at different values of physical parameters were graphically illustrated and analyzed. The limiting case in which the obtained results are compared with the calculation of the energy that transferring the wave in the hydrodynamic system ‘liquid layer–a layer with a lid’, which was investigated earlier is considered. Graphically illustrates the transition of this system to a two-layer one.

Data obtained as a result of the study of the problem of propagation of internal wave energy in a liquid three-layer hydrodynamic system can be used in the study of similar areas in the ocean and in the development of appropriate technologies and devices using the energy of water waves or converted into electricity.

KEYWORDS:

• Energy
• internal progressive waves
• three-layer hydrodynamic system
• dispersion equation

Subject classification codes:

• include these here if the journal requires them

Acknowledgements

The authors are grateful to the reviewers for their comments. This helped to make the article more informative. The authors are also grateful to the journal staff for the opportunity to publish their research.

Disclosure statement

No potential conflict of interest was reported by the authors