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Ecological Systems and Devices

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Internal waves on the boundary of two-layer fluids. Special cases
Kurkin A.A. Kurkina O.E. Rouvinskaya E.A. Stepanyants Yu.A.

Environmental safety of reservoirs requires detailed knowledge of the possible consequences of environmental disasters that occur in accidents ships breakthroughs pipelines, accidental discharges of pollutants into rivers, lakes and reservoirs. For this purpose necessary to calculate the wave fields generated at the surface and inside of the reservoir covered with a layer of pollutant (oil spills, oil, kerosene, lubricating oil and etc. liquid fractions). In this paper the internal waves generated at the interface between the layers of polluting liquids and water are studied. The model equation (generalized Korteweg-de Vries equation) for a description of such waves in the long-wave approximation, containing terms of higher order in the nonlinearity and dispersion is deduced. Structure of these members depending on the stratification parameters (density difference layers, different ratios of layer thicknesses of the surface tension) is analyzed. It is shown that at a certain ratio between тхесе parametrs several coefficients of the equation vanishes, and the equation is simplified, though still nonlinear and dispersive. The structure of solutions of this equation is not yet known, but we can already say that one can expect a very interesting structure in the form of solitons with oscillating asymptotic behavior.
Keywords: internal waves; two-layer fluid; generalized Korteweg-de Vries equation; stratification; dispersion; nonlinearity

Contacts: E-mail: aakurkin@gmail.com

Pp. 43-49.

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