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Monolayer flow on a thin film

Published online by Cambridge University Press:  21 April 2006

Michael S. Borgas  and
James B. Grotberg
Michael S. Borgas
Affiliation:
Biomedical Engineering Department, The Technological Institute. Northwestern University, Evanston, IL 60208, USA and Department of Anesthesia, Northwestern University Medical School, Chicago, IL, USA
James B. Grotberg
Affiliation:
Biomedical Engineering Department, The Technological Institute. Northwestern University, Evanston, IL 60208, USA and Department of Anesthesia, Northwestern University Medical School, Chicago, IL, USA
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Abstract

Two-dimensional flow of a surface-active monolayer on a thin viscous film is considered. Simplifications of negligible gravity and pressure forces are made. Interfacial properties are described by simple model equations of state. Solutions are obtained for when the monolayer is scraped along the interface by a barrier and a steady state exists where surface advection is balanced by surface diffusion. Surface velocity, film thickness and spreading rate dependence on surface diffusivity are examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 193 , August 1988 , pp. 151 - 170
Copyright
© 1988 Cambridge University Press

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