Regular Article

The European Physical Journal Special Topics

, Volume 197, Issue 1, pp 213-220

First online:

Note on thin film equations for solutions and suspensions

  • U. ThieleAffiliated withDepartment of Mathematical Sciences, Loughborough University Email author 

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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.