Research output: Contribution to journal › Article › peer-review
Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow. / Tsvelodub, O. Yu; Bocharov, A. A.
In: Journal of Physics: Conference Series, Vol. 899, No. 3, 032023, 27.09.2017.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow
AU - Tsvelodub, O. Yu
AU - Bocharov, A. A.
PY - 2017/9/27
Y1 - 2017/9/27
N2 - 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. The paper studies nonlinear waves on a liquid film, flowing under the action of gravity in a 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. The periodic and soliton steady-state traveling solutions of this equation have been numerically found. The analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that this model equation has solutions in the form of solitons-humps.
AB - 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. The paper studies nonlinear waves on a liquid film, flowing under the action of gravity in a 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. The periodic and soliton steady-state traveling solutions of this equation have been numerically found. The analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that this model equation has solutions in the form of solitons-humps.
UR - http://www.scopus.com/inward/record.url?scp=85033779649&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/899/3/032023
DO - 10.1088/1742-6596/899/3/032023
M3 - Article
AN - SCOPUS:85033779649
VL - 899
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 3
M1 - 032023
ER -
ID: 9697716