Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow

All-Russian Conference with the School for Young Scientists “Thermophysics and Physical Hydrodynamics –2016”

Yu Tsvelodub, O.^1,2

Kutateladze Institute of Thermophysics, SB, RAS, Lavrentyev prosp. 1, Novosibirsk

630090, Russia^1

Novosibirsk State University, Pirogova Str. 2, Novosibirsk

630090, Russia^2

关键词: Falling liquid films;    Nonlinear integral-differential equations;    Nonlinear waves;    Stress field;    Traveling solutions;    Traveling wave;    Wave numbers;    Weakly non-linear;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/754/3/032020/pdf
DOI  :  10.1088/1742-6596/754/3/032020

来源: IOP

【 摘 要 】

The article is devoted to the simulation of nonlinear waves on a liquid film flowing under gravity in the known stress field at the interface. In the case of small Reynolds numbers the problem is reduced to the consideration of solutions of the nonlinear integral-differential equation for film thickness deviation from the undisturbed level. Weakly nonlinear steady-state traveling solutions of the equation with wave numbers in a vicinity of neutral wave numbers are constructed analytically. The nature of the wave branching from the undisturbed solution is investigated. Steady-state traveling solutions, whose wave numbers within the instability area are far from neutral wave numbers, are found numerically.