Contributions individuelles
The Elastic Landau-Levich Coating Flow Problem
Dixit, Harish N. and G. M. Homsy
Department of Mathematics, University of British Columbia

We consider the dip-coating flow problem when the interface has a purely elastic response and interfacial tension is negligible. We assume the elasticity number El – the ratio of surface elasticity to viscous forces - is small and develop the solution for the free boundary as a matched asymptotic expansion in the small parameter El1/7, thus determining the film thickness as a function of El.  A remarkable aspect of the problem is the occurrence of multiple solutions, and five of these are found numerically. In any event, the film thickness varies as El4/7, in agreement with previous experiments.

Jeudi, 20 juin, 10h00
Salle Du Manège