Issue Eur. Phys. J. Appl. Phys. Volume 44, Number 2, November 2008 Page(s) 211 - 214 Section Physics and Mechanics of Fluids, Microfluidics DOI 10.1051/epjap:2008103 Published online 25 September 2008

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. Kalliadasis

Department 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.

PACS
47.15.gm - Thin film flows.
47.55.dk - Surfactant effects.
47.55.N- - Interfacial flows.

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