Eur. Phys. J. Appl. Phys.
Volume 44, Number 2, November 2008
|Page(s)||211 - 214|
|Section||Physics and Mechanics of Fluids, Microfluidics|
|Published online||25 September 2008|
On the transport equation for an interfacial quantity
Department of Chemical Engineering, Imperial College London,
London, SW7 2AZ, UK
Corresponding author: S.Kalliadasis@imperial.ac.uk
Accepted: 19 May 2008
Published online: 25 September 2008
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.
PACS: 47.15.gm – Thin film flows / 47.55.dk – Surfactant effects / 47.55.N- – Interfacial flows
© EDP Sciences, 2008
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