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Structure Formation in Thin Liquid-Liquid Films

Subject Area Mathematics
Term from 2010 to 2016
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 167121686
 
The main topic of this tandem proposal is the direct comparison of results from mathematical modeling, analysis and experimental investigations of rupture, dewetting dynamics and equilibrium patterns of a thin liquid-liquid system. The experimental system uses a PS (polystyrene)/PMMA(polymethylmethacrylate) thin bilayer of a few hundred nm, whose liquid properties can be tuned from Newtonian to visoelastic rheological flow behavior by varying the length of the polymer chains. On these small scales, apart from capillary forces and viscous dissipation intermolecular forces will play an important role in the dynamics and morphology of interfaces. The mathematical analysis and numerical simulation of adequate thin film models that will be derived from the underlying fluid mechanical equations, will be used, through direct comparisons with experiments, to clarify even fundamental properties, such as equilibrium contact angles, singularity formation or dewetting rates. This shall form the basis for more complex situations involving evaporation, surfactant monolayers, and slippage, to yield the understanding crucial for many important nanofluidic problems in nature and technology ranging from rupture of the human tear film to the interface dynamics of donor/acceptor polymer solutions used in organic solar cells.
DFG Programme Priority Programmes
 
 

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