This article is cited in 2 papers

Transformation of long nonlinear waves in a two-layer viscous fluid between a gently sloping lid and bottom

G. A. Khabakhpashev

Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: Dynamics of three-dimensional disturbances of the interface between two fluid layers of different densities is considered analytically and numerically. An evolutionary integrodifferential equation is derived, which takes into account long-wave contributions of inertia of the layers and surface tension, small but finite amplitude of disturbances of the interface between two incompressible immiscible fluids, gentle slopes of the lid and bottom, and nonstationary shear stresses at all boundaries. Numerical solutions of this model equation for several (most typical) nonlinear problems of transformation of two- and three-dimensional waves are obtained.

Keywords: viscous fluid, interface, long waves, nonlinear disturbance.

UDC: 532.59

Received: 14.01.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:6, 807–817

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