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Project C10 |
Marangoni-driven films emerging from a reservoir | |
| Research Team: | Dr. P. L. Evans, HU and |
| PD Dr. Andreas Münch, HU, WIAS, Nottingham. | |
| Support: | Matheon DFG Research Centre |
| Contact: | For further information about this project, please contact Dr. Evans. |
Thin liquid films play an important role in many application areas and also in everyday life.
We investigated the dynamics of a film rising from a reservoir onto a tilted substrate, in particular, near the meniscus that connects the film to the reservoir. Equilibrium solutions for the meniscus at different inclination angles of the substrate using phase space methods were found and a rich solution structure could be classified, including a monotonic equilibrium solution and multiple non-monotonic solutions with the same far-field film thickness [ME05]. A second paper [EM06] explored the interaction of these solutions with the classical and non-classical wave structures in the thin film.
| [EM06] |
P. L. Evans and A. Münch. Interaction of advancing fronts and meniscus profiles formed by surface-tension-gradient-driven liquid films. SIAM J. Appl. Math., 66(5):1610-1631, 2006. |
| [ME05] | A. Münch and P. L. Evans. Marangoni-driven liquid films rising out of a meniscus onto a nearly horizontal substrate. Physica D, 209(1-4):164-177, 2005. |
| [JAM05] | B. Jin, A. Acrivos, and A. Münch. The drag-out problem in film coating. Phys. Fluids, 17:103603, 2005 |