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Surface viscosity and Marangoni stresses at surfactant laden interfaces

Published online by Cambridge University Press:  04 March 2016

Gwynn J. Elfring ,
L. Gary Leal  and
Todd M. Squires
Gwynn J. Elfring
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Vancouver, BC V6T 1Z4, Canada
L. Gary Leal
Affiliation:
Department of Chemical Engineering, University of California, Santa Barbara, CA 93106-5080, USA
Todd M. Squires*
Affiliation:
Department of Chemical Engineering, University of California, Santa Barbara, CA 93106-5080, USA
*
†Email address for correspondence: [email protected]
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Abstract

We calculate here the force on a probe at a viscous, compressible interface, laden with soluble surfactant that equilibrates on a finite time scale. The motion of the probe through the interface drives variations in the surfactant concentration at the interface that in turn leads to a Marangoni flow that contributes to the force on the probe. We demonstrate that the Marangoni force on the probe depends non-trivially on the surface shear and dilatational viscosities of the interface indicating the difficulty in extracting these material properties from force measurements at compressible interfaces.

JFM classification

Interfacial Flows (free surface): Capillary flows Interfacial Flows (free surface): Interfacial Flows (free surface) Interfacial Flows (free surface): Thin films
Type
Papers
Information
Journal of Fluid Mechanics , Volume 792 , 10 April 2016 , pp. 712 - 739
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Copyright
© 2016 Cambridge University Press 

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