Variational approach to contact line dynamics for thin films

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.

References in corpus (2)

• A variational approach to the moving contact line hydrodynamics
• A dynamical systems approach for the contact-line singularity in thin-film flows

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