English

Thick films coating a plate withdrawn from a bath

Fluid Dynamics 2008-03-28 v1

Abstract

We consider the deposition of a film of viscous liquid on a flat plate being withdrawn from a bath, experimentally and theoretically. For any plate speed UU, there is a range of ``thick'' film solutions whose thickness scales like U1/2U^{1/2} for small UU. These solutions are realized for a partially wetting liquid, while for a perfectly wetting liquid the classical Landau-Levich-Derjaguin (LLD) film is observed, whose thickness scales like U2/3U^{2/3}. The thick film is distinguished from the LLD film by a dip in its spatial profile at the transition to the bath. We calculate the phase diagram for the existence of stationary film solutions as well as the film profiles, and find excellent agreement with experiment.

Keywords

Cite

@article{arxiv.0803.3950,
  title  = {Thick films coating a plate withdrawn from a bath},
  author = {J. H. Snoeijer and J. Ziegler and B. Andreotti and M. Fermigier and J. Eggers},
  journal= {arXiv preprint arXiv:0803.3950},
  year   = {2008}
}

Comments

4pages, 5 figures

R2 v1 2026-06-21T10:25:02.457Z