Note on thin film equations for solutions and suspensions

Regular Article

DOI: 10.1140/epjst/e2011-01462-7

Cite this article as:
Thiele, U. Eur. Phys. J. Spec. Top. (2011) 197: 213. doi:10.1140/epjst/e2011-01462-7


This note discusses how one may further develop thin film evolution equations for solutions and suspensions. First, we review the time evolution equation of a film or drop of simple liquid under the sole influence of wettability and capillarity and its formulation as a gradient dynamics. Second, we introduce such a gradient dynamics for a film of suspension or solution and show that it is equivalent to thin film equations in the literature. Finally, the new formulation is used to discuss extensions towards solute molecules/particles with net attractive interactions, decomposing solute-solvent systems and a solute-dependent wettability.

Copyright information

© EDP Sciences and Springer 2011

Authors and Affiliations

  1. 1.Department of Mathematical SciencesLoughborough UniversityLoughborough, LeicestershireUK

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