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Eur. Phys. J. Appl. Phys. 44, 211-214 (2008)
DOI: 10.1051/epjap:2008103
On the transport equation for an interfacial quantity
A. Pereira and S. KalliadasisDepartment of Chemical Engineering, Imperial College London, London, SW7 2AZ, UK
S.Kalliadasis@imperial.ac.uk
Received: 28 March 2008 / Accepted: 19 May 2008 / Published online: 25 September 2008
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.
47.15.gm - Thin film flows.
47.55.dk - Surfactant effects.
47.55.N- - Interfacial flows.
© EDP Sciences 2008
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