Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow

Abstract

This paper derives a new system of equations for the simulation of the long-wave perturbation dynamics 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.