Evolution of long nonlinear waves on the interface of a stratified viscous fluid flow in a channel |
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Authors: | D G Arkhipov G A Khabakhpashev |
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Institution: | (1) Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090;(2) Novosibirsk State University, Novosibirsk, 630090 |
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Abstract: | The dynamics of disturbances of the interface between two layers of incompressible immiscible fluids of different densities
in the presence of a steady flow between the horizontal bottom and lid is studied analytically and numerically. A model integrodifferential
equation is derived, which takes into account long-wave contributions of inertial layers and surface tension of the fluids,
small but finite amplitude of disturbances, and unsteady shear stresses on all boundaries. Numerical solutions of this equation
are given for the most typical nonlinear problems of transformation of both plane waves of different lengths and solitary
waves.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 4, pp. 49–61, July–August, 2007. |
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Keywords: | viscous fluids interface two-layer Poiseuille flow long waves nonlinear disturbances solitary waves |
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