Marangoni Flow of Soluble Amphiphiles

Matthieu Roché, Zhenzhen Li, Ian M. Griffiths, Sébastien Le Roux, Isabelle Cantat, Arnaud Saint-Jalmes, and Howard A. Stone
Phys. Rev. Lett. 112, 208302 – Published 20 May 2014
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Abstract

Surfactant distribution heterogeneities at a fluid-fluid interface trigger the Marangoni effect, i.e., a bulk flow due to a surface tension gradient. The influence of surfactant solubility in the bulk on these flows remains incompletely characterized. Here we study Marangoni flows sustained by injection of hydrosoluble surfactants at the air-water interface. We show that these flows have a finite size that increases with a decrease of the critical micelle concentration of the surfactants. We document the universality of the surface velocity field of these finite flows and predict scaling laws based on hydrodynamics and surfactant physical chemistry that capture the flow features.

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  • Received 4 December 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.208302

© 2014 American Physical Society

Authors & Affiliations

Matthieu Roché1,†, Zhenzhen Li1,‡, Ian M. Griffiths2, Sébastien Le Roux3, Isabelle Cantat3, Arnaud Saint-Jalmes3, and Howard A. Stone1,*

  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 2Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
  • 3Institut de Physique de Rennes, CNRS UMR 6251, Université Rennes 1, 35042 Rennes, France

  • *Corresponding author. hastone@princeton.edu
  • Present address: Laboratoire de Physique des Solides, Université Paris Sud—CNRS UMR 8502, Bâtiment 510, 91405 Orsay, France. Corresponding author. roche.matthieu@gmail.com
  • Present address: MMN, CNRS, ESPCI Paris-Tech, 10 rue Vauquelin, 75005 Paris, France.

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Issue

Vol. 112, Iss. 20 — 23 May 2014

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