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Surfactant dynamics and rectified diffusion of microbubbles

Published online by Cambridge University Press:  26 April 2006

Marios M. Fyrillas  and
Andrew J. Szeri
Marios M. Fyrillas
Affiliation:
Department of Mechanical & Aerospace Engineering, University of California, Irvine, CA 92717-3975, USA
Andrew J. Szeri
Affiliation:
Department of Mechanical & Aerospace Engineering, University of California, Irvine, CA 92717-3975, USA
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Abstract

Surfactant transport dynamics and the consequences for rectified diffusion of microbubbles are treated for bubbles undergoing arbitrarily large-amplitude periodic radial oscillations. A perturbation technique is used to reveal averaged equations for the slow convection-enhanced diffusive transport of surfactant molecules. These equations have a readily obtained asymptotic limit in the form of a single nonlinear integral equation — this may be interpreted as a dynamic equilibrium adsorption isotherm. For a lightly populated interface, an explicit solution for the surface excess population of surfactants may be obtained. Bubble oscillations are shown to drive an increased number of surfactant molecules to the interface, if it is lightly populated, but to reduce the maximum possible population of surfactants on the interface. These effects have important consequences for rectified diffusion, in which the interfacial resistance to gas transfer of a surfactant monolayer is a strong function of the surface excess population.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 311 , 25 March 1996 , pp. 361 - 378
Copyright
© 1996 Cambridge University Press

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