Variational approach to contact line dynamics for thin films
Fluid Dynamics
2018-11-21 v1 Soft Condensed Matter
Abstract
This paper investigates a variational approach to viscous flows with contact line dynamics based on energy-dissipation modeling. The corresponding model is reduced to a thin-film equation and its variational structure is also constructed and discussed. Feasibility of this modeling approach is shown by constructing a numerical scheme in 1D and by computing numerical solutions for the problem of gravity driven droplets. Some implications of the contact line model are highlighted in this setting.
Cite
@article{arxiv.1801.10577,
title = {Variational approach to contact line dynamics for thin films},
author = {Dirk Peschka},
journal= {arXiv preprint arXiv:1801.10577},
year = {2018}
}