Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 350-373 |
| Number of pages | 24 |
| Journal | Journal of Fluid Mechanics |
| Volume | 770 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |
| Externally published | Yes |
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Keywords
- Contact lines
- Solitary waves
- Thin films
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
Cite this
Nonlinear forced waves in a vertical rivulet flow. / Alekseenko, S. V.; Aktershev, S. P.; Bobylev, A. V.; Kharlamov, S. M.; Markovich, D. M.
In: Journal of Fluid Mechanics, Vol. 770, 01.01.2015, p. 350-373.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nonlinear forced waves in a vertical rivulet flow
AU - Alekseenko, S. V.
AU - Aktershev, S. P.
AU - Bobylev, A. V.
AU - Kharlamov, S. M.
AU - Markovich, D. M.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
KW - Contact lines
KW - Solitary waves
KW - Thin films
UR - http://www.scopus.com/inward/record.url?scp=84940060832&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84940060832&partnerID=8YFLogxK
U2 - 10.1017/jfm.2015.170
DO - 10.1017/jfm.2015.170
M3 - Article
AN - SCOPUS:84940060832
VL - 770
SP - 350
EP - 373
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -