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On the transport equation for an interfacial quantity

Published online by Cambridge University Press:  25 September 2008

A. Pereira  and
S. Kalliadasis
A. Pereira
Affiliation:
Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, UK
S. Kalliadasis*
Affiliation:
Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, UK
*
S.Kalliadasis@imperial.ac.uk
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Abstract

We present a derivation of the time evolution equation of a physical quantity defined as an integral of a density over a moving surface. The equation can be readily used to obtain the transport equation for an interfacial entity such as surfactants on the surface of a single-valued interface as in thin films. By utilizing the concept of the extension field of the density we generalize the transport equation to the case of multi-valued interfaces.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 44 , Issue 2 , November 2008 , pp. 211 - 214
Copyright
© EDP Sciences, 2008

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