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Dynamics of nonlinear three-dimensionalwaves on the interface between two fluids in a channel with low-sloping bottom and top

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Abstract

A combined approach is proposed to describe the transformation of three-dimensional disturbances of the interface between two incompressible immiscible fluids of different densities contained in a channel with fixed rigid top and bottom. It is assumed that the wavelengths are moderately large, the amplitudes are small but finite, the top and the bottom can be gently sloping, and capillary effects are small. The system of equations derived is applicable for modeling disturbances simultaneously scattering in arbitrary horizontal directions. Some typical wave problems are numerically solved and the effect of governing parameters is shown.

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 1, Novosibirsk, 630090, Russia

    D. G. Arkhipov, N. S. Safarova & G. A. Khabakhpashev

Authors
  1. D. G. Arkhipov
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  2. N. S. Safarova
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  3. G. A. Khabakhpashev
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Correspondence to D. G. Arkhipov.

Additional information

Original Russian Text © D.G. Arkhipov, N.S. Safarova, G.A. Khabakhpashev, 2014, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2014, Vol. 49, No. 4, pp. 84–97.

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Arkhipov, D.G., Safarova, N.S. & Khabakhpashev, G.A. Dynamics of nonlinear three-dimensionalwaves on the interface between two fluids in a channel with low-sloping bottom and top. Fluid Dyn 49, 491–503 (2014). https://doi.org/10.1134/S0015462814040097

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  • DOI: https://doi.org/10.1134/S0015462814040097

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