Investigating waves on the surface of a thin liquid film entrained by a turbulent gas flow: modeling beyond the “quasi-laminar” approximation
O.Yu. Tsvelodub1,2, D.G. Arkhipov1,2, I.S. Vozhakov1,2
1Novosibirsk State University, Novosibirsk, Russia
2Kutateladze Institute of Thermophysics SB RAS
Keywords: thin liquid film, turbulent gas flow, turbulent viscosity, Boussinesq hypothesis, evolution equation, periodic perturbations
Abstract
The problem of the joint flow of a turbulent gas stream and a vertically falling wavy liquid film is considered. Tangential and normal stresses on the interfaces are calculated. The components of the Reynolds stress tensor are determined within the framework of the Boussinesq hypothesis. For the case of small Reynolds numbers of a liquid, the problem is reduced to a nonlinear integro-differential equation for the deviation of the layer thickness from the unperturbed level. A numerical study of the evolution of periodic perturbations is carried out. Several typical scenarios of their development are presented
|
