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Journal of Applied Mechanics and Technical Physics

2017 year, number 4

Simulation of Nonlinear Waves on the Surface of a Thin Fluid Film Moving under the Action of Turbulent Gas Flow

O. Yu. Tsvelodub1,2, D. G. Arkhipov1,2
1Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2Novosibirsk State University, Novosibirsk 630090, Russia
Keywords: пленка вязкой жидкости, газовый поток, модельная система, эволюционное уравнение, эволюция возмущений, viscous fluid film, gas flow, model system, evolution equation, evolution of perturbations

Abstract

This paper derives a new system of equations for the simulation of the dynamics of long-wave perturbations on the surface of a thin horizontal layer of heavy viscous fluid moving under the action of turbulent gas flow. In the case of small Reynolds numbers of the fluid, this system of equations is used to derive an evolution equation for the value of deviation of the film thickness from the unperturbed level. Some solutions of this equation are given.