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Dynamic unbinding transitions and deposition patterns in dragged meniscus problems
conference contributionposted on 07.08.2015 by Mariano Galvagno, Dmitri Tseluiko, Uwe Thiele
Any type of content contributed to an academic conference, such as papers, presentations, lectures or proceedings.
We sketch main results of our recent work on the transfer of a thin liquid film onto a flat plate that is extracted from a bath of pure non-volatile liquid. Employing a long-wave hydrodynamic model, that incorporates wettability via a Derjaguin (disjoining) pressure, we analyse steady-state meniscus profiles as the plate velocity is changed. We identify four qualitatively different dynamic transitions between microscopic and macroscopic coatings that are out-of-equilibrium equivalents of equilibrium unbinding transitions. The conclusion briefly discusses how the gradient dynamics formulation of the problem allows one to systematically extend the employed one-component model into thermodynamically consistent two-component models as used to describe, e.g., the formation of line patterns during the Langmuir-Blodgett transfer of a surfactant layer.
We acknowledge support by the EU via the FP7 Marie Curie scheme (ITN MULTIFLOW, PITN-GA-2008-214919). The work of DT was partly supported by the EPSRC under grants EP/J001740/1, EP/K041134/1.
- Mathematical Sciences