Variational approach to contact line dynamics for thin films

Dirk Peschka

doi:10.1063/1.5040985

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arXiv · 1801.10577

Variational approach to contact line dynamics for thin films

Dirk Peschka

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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.

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Dirk Peschka. 2018-01-31. Variational approach to contact line dynamics for thin films. https://doi.org/10.1063/1.5040985

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