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Nonlinear wave attenuation in strongly confined falling liquid films sheared by a laminar counter-current gas flow

Published online by Cambridge University Press:  03 January 2023

Sophie Mergui Open the ORCID record for Sophie Mergui [Opens in a new window] ,
Gianluca Lavalle Open the ORCID record for Gianluca Lavalle [Opens in a new window] ,
Yiqin Li ,
Nicolas Grenier Open the ORCID record for Nicolas Grenier [Opens in a new window]  and
Georg F. Dietze Open the ORCID record for Georg F. Dietze [Opens in a new window]
Sophie Mergui*
Affiliation:
Université Paris-Saclay, CNRS, FAST, 91405 Orsay, France Sorbonne Université, UFR 919, 4 place Jussieu, F-75252 Paris CEDEX 05, France
Gianluca Lavalle
Affiliation:
Mines Saint-Etienne, Université Lyon, CNRS, UMR 5307 LGF, Centre SPIN, F-42023 Saint-Etienne, France
Yiqin Li
Affiliation:
Université Paris-Saclay, CNRS, FAST, 91405 Orsay, France
Nicolas Grenier
Affiliation:
Université Paris-Saclay, CNRS, LISN, 91405 Orsay, France
Georg F. Dietze
Affiliation:
Université Paris-Saclay, CNRS, FAST, 91405 Orsay, France
*
†Email address for correspondence: [email protected]
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Abstract

Experiments are conducted in water films falling along the bottom wall of a weakly inclined rectangular channel of height $5$ mm in the presence of a laminar counter-current air flow. Boundary conditions have been specifically designed to avoid flooding at the liquid outlet, thus allowing us to focus on the wave dynamics in the core of the channel. Surface waves are excited via coherent inlet forcing before they come into contact with the air flow. The effect of the air flow on the height, shape and speed of two-dimensional travelling nonlinear waves is investigated and contrasted with experiments of Kofman, Mergui & Ruyer-Quil (Intl J. Multiphase Flow, vol. 95, 2017, pp. 22–34), which were performed in a weakly confined channel. We observe a striking difference between these two cases. In our strongly confined configuration, a monotonic stabilizing effect or a non-monotonic trend (i.e. the wave height first increases and then diminishes upon increasing the gas flow rate) is observed, in contrast to the weakly confined configuration where the gas flow is always destabilizing. This stabilizing effect implies the possibility of attenuating waves via the gas flow and it confirms recent numerical results obtained by Lavalle et al. (J. Fluid Mech., vol. 919, 2021, R2) in a superconfined channel.

JFM classification

Interfacial Flows (free surface): Thin films Multiphase and Particle-laden Flows: Gas/liquid flow Waves/Free-surface Flows: Solitary waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 954 , 10 January 2023 , A19
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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References

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