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.
Funding
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.
History
School
Science
Department
Mathematical Sciences
Published in
4th Micro and Nano Flows Conference (MNF2014)
Citation
GALVAGNO, M., TSELUIKO, D. and THIELE, U., 2014. Dynamic unbinding transitions and deposition patterns in dragged meniscus problems. IN: Karayiannis, T., Konig, C.S. and Balabani, S. (eds). Proceedings of the 4th Micro and Nano Flows Conference (MNF2014), 6th-10th September 2014, University College London.
Publisher
Brunel University London
Version
SMUR (Submitted Manuscript Under Review)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/