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Nonlinear forced waves in a vertical rivulet flow

Published online by Cambridge University Press:  01 April 2015

S. V. Alekseenko ,
S. P. Aktershev ,
A. V. Bobylev ,
S. M. Kharlamov  and
D. M. Markovich
S. V. Alekseenko
Affiliation:
Kutateladze Institute of Thermophysics, Novosibirsk, 630090, Russia Novosibirsk State University, Novosibirsk, 630090, Russia
S. P. Aktershev*
Affiliation:
Kutateladze Institute of Thermophysics, Novosibirsk, 630090, Russia Novosibirsk State University, Novosibirsk, 630090, Russia
A. V. Bobylev
Affiliation:
Kutateladze Institute of Thermophysics, Novosibirsk, 630090, Russia Novosibirsk State University, Novosibirsk, 630090, Russia
S. M. Kharlamov
Affiliation:
Kutateladze Institute of Thermophysics, Novosibirsk, 630090, Russia Novosibirsk State University, Novosibirsk, 630090, Russia
D. M. Markovich
Affiliation:
Kutateladze Institute of Thermophysics, Novosibirsk, 630090, Russia Novosibirsk State University, Novosibirsk, 630090, Russia
*
†Email address for correspondence: sergey-aktershev@mail.ru
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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.

JFM classification

Interfacial Flows (free surface): Contact lines Waves/Free-surface Flows: Solitary waves Interfacial Flows (free surface): Thin films
Type
Papers
Information
Journal of Fluid Mechanics , Volume 770 , 10 May 2015 , pp. 350 - 373
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Copyright
© 2015 Cambridge University Press 

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