Nonlinear forced waves in a vertical rivulet flow

This article presents the results of numerical simulations of three-dimensional waves on the surface of a rivulet flowing down a vertical plate. The Kapitza–Shkadov approach is used to describe the wave flow of the rivulet. Various characteristics of linear and nonlinear regular waves in the rivulet...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 770; pp. 350 - 373
Main Authors Alekseenko, S. V., Aktershev, S. P., Bobylev, A. V., Kharlamov, S. M., Markovich, D. M.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 10.05.2015
Subjects
Flow velocity
Fluid mechanics
Numerical analysis
Propagation
Reynolds number
Wave propagation
Wave velocity
solitary waves
contact lines
thin films
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Summary:This article presents the results of numerical simulations of three-dimensional waves on the surface of a rivulet flowing down a vertical plate. The Kapitza–Shkadov approach is used to describe the wave flow of the rivulet. Various characteristics of linear and nonlinear regular waves in the rivulet are obtained through numerical calculations as a function of the forcing frequency at different Reynolds numbers and contact wetting angles. The results of the simulations are compared with the authors’ previous experimental data. The comparison shows that the applied model adequately describes the shape of the wave surface of a rivulet, although the wave propagation velocity and wavelength are underestimated.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2015.170