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- W2090873842 abstract "Two-phase fluid flows on substrates (i.e. wetting phenomena) are important in many industrial processes, such as micro-fluidics and coating flows. These flows include additional physical effects that occur near moving (three-phase) contact lines. We present a new 2-D variational (saddle-point) formulation of a Stokesian fluid with surface tension that interacts with a rigid substrate. The model is derived by an Onsager type principle using shape differential calculus (at the sharp-interface, front-tracking level) and allows for moving contact lines and contact angle hysteresis and pinning through a variational inequality. Moreover, the formulation can be extended to include non-linear contact line motion models. We prove the well-posedness of the time semi-discrete system and fully discrete method using appropriate choices of finite element spaces. A formal energy law is derived for the semi-discrete and fully discrete formulations and preliminary error estimates are also given. Simulation results are presented for a droplet in multiple configurations to illustrate the method." @default.
- W2090873842 created "2016-06-24" @default.
- W2090873842 creator A5037361022 @default.
- W2090873842 date "2014-06-30" @default.
- W2090873842 modified "2023-10-12" @default.
- W2090873842 title "A mixed formulation of a sharp interface model of stokes flow with moving contact lines" @default.
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- W2090873842 doi "https://doi.org/10.1051/m2an/2013130" @default.
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