Note on thin film equations for solutions and suspensions
Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK
a e-mail: firstname.lastname@example.org; homepage: www.uwethiele.de
Revised: 15 June 2011
Published online: 30 August 2011
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.
© EDP Sciences, Springer-Verlag, 2011