Publishing House SB RAS:

Publishing House SB RAS:

Address of the Publishing House SB RAS:
Morskoy pr. 2, 630090 Novosibirsk, Russia

Advanced Search

Thermophysics and Aeromechanics

2019 year, number 6

Simulating nonlinear wavy flow modes developing in a thin horizontal layer of heavy liquid entrained by a gas flow

O.Yu. Tsvelodub1,2
1Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
2Novosibirsk State University, Novosibirsk, Russia
Keywords: горизонтальный слой вязкой жидкости, газовый поток, модельная система, эволюционное уравнение, устойчивость, horizontal layer of viscous fluid, gas flow, model system, evolution equation, stability


The paper considers nonlinear waves generated on a surface of a horizontal liquid layer put into an assigned stress field at the gas-liquid interface. The nature of branching for wavy modes from the undisturbed flow was studied. To accomplish this, the solution of a model nonlinear equation written for the deviation of the layer thickness from the undisturbed layer is found. Analytical solutions were constructed for nonlinear steady state-travelling solutions of this equation with the wavenumbers belonging to the vicinity of neutral wavenumbers. Steady state-travelling periodic solutions for the first family were simulated for the case of wavenumbers beyond this vicinity.