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Three-dimensional dynamics of falling films in the presence of insoluble surfactants

Published online by Cambridge University Press:  13 November 2020

Assen Batchvarov ,
Lyes Kahouadji Open the ORCID record for Lyes Kahouadji [Opens in a new window] ,
Cristian R. Constante-Amores ,
Gabriel Farah Norões Gonçalves ,
Seungwon Shin Open the ORCID record for Seungwon Shin [Opens in a new window] ,
Jalel Chergui Open the ORCID record for Jalel Chergui [Opens in a new window] ,
Damir Juric Open the ORCID record for Damir Juric [Opens in a new window] ,
Richard V. Craster Open the ORCID record for Richard V. Craster [Opens in a new window]  and
Omar K. Matar Open the ORCID record for Omar K. Matar [Opens in a new window]
Assen Batchvarov
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, LondonSW7 2AZ, UK
Lyes Kahouadji*
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, LondonSW7 2AZ, UK
Cristian R. Constante-Amores
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, LondonSW7 2AZ, UK
Gabriel Farah Norões Gonçalves
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, LondonSW7 2AZ, UK
Seungwon Shin
Affiliation:
Department of Mechanical and System Design Engineering, Hongik University, Seoul121-791, Republic of Korea
Jalel Chergui
Affiliation:
Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI), CNRS, Université Paris Saclay, Bât. 507, Rue du Belvédère, Campus Universitaire, 91405Orsay, France
Damir Juric
Affiliation:
Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI), CNRS, Université Paris Saclay, Bât. 507, Rue du Belvédère, Campus Universitaire, 91405Orsay, France
Richard V. Craster
Affiliation:
Department of Mathematics, Imperial College London, South Kensington Campus, LondonSW7 2AZ, UK
Omar K. Matar
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, LondonSW7 2AZ, UK
*
†Email address for correspondence: [email protected]
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Abstract

We study the effect of insoluble surfactants on the wave dynamics of vertically falling liquid films. We use three-dimensional numerical simulations and employ a hybrid interface-tracking/level-set method, taking into account Marangoni stresses induced by gradients of interfacial surfactant concentration. Our numerical predictions for the evolution of the surfactant-free, three-dimensional wave topology are validated against the experimental work of Park & Nosoko (AIChE J., vol. 49, 2003, pp. 2715–2727). The addition of surfactants is found to influence significantly the development of horseshoe-shaped waves. At low Marangoni numbers, we show that the wave fronts exhibit spanwise oscillations before eventually acquiring a quasi-two-dimensional shape. In addition, the presence of Marangoni stresses is found to suppress the peaks of the travelling waves and preceding capillary wave structures. At high Marangoni numbers, a near-complete rigidification of the interface is observed.

JFM classification

Waves/Free-surface Flows: Capillary waves Interfacial Flows (free surface): Thin films
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 906 , 10 January 2021 , A16
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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