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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 aphysical quantity defined as an integral of a density over a movingsurface. The equation can be readily used to obtain the transportequation for an interfacial entity such as surfactants on thesurface of a single-valued interface as in thin films. By utilizingthe concept of the extension field of the density we generalize thetransport 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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References

Cermelli, P., Fried, E., Gurtin, M.E., J. Fluid Mech. 544, 339 (2005) CrossRef
G.K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, 1967)
Stone, H.A., Phys. Fluids A 2, 111 (1990) CrossRef
Waxman, A.M., Stud. Appl. Math. 70, 63 (1984) CrossRef
Pereira, A., Trevelyan, P.M.J., Thiele, U., Kalliadasis, S., Phys. Fluids 19, 112102 (2007) CrossRef
Jensen, O.E., Grotberg, J.B., J. Fluid Mech. 240, 259 (1992) CrossRef
Kumar, S., Matar, O.K., Phys. Fluids 16, 39 (2004) CrossRef
Wong, H., Rumschitzki, D., Maldarelli, C., Phys. Fluids 8, 3203 (1996) CrossRef