Simulating nonlinear wavy flow modes developing in a thin horizontal layer of heavy liquid entrained by a gas flow
- Authors: Tsvelodub O.Y.1,2
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Affiliations:
- Kutateladze Institute of Thermophysics SB RAS
- Novosibirsk State University
- Issue: Vol 26, No 6 (2019)
- Pages: 861-867
- Section: Article
- URL: https://journals.rcsi.science/1531-8699/article/view/218783
- DOI: https://doi.org/10.1134/S0869864319060076
- ID: 218783
Cite item
Abstract
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.
About the authors
O. Yu. Tsvelodub
Kutateladze Institute of Thermophysics SB RAS; Novosibirsk State University
Author for correspondence.
Email: tsvel@itp.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk