Regensburg 2019 – wissenschaftliches Programm
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 20: Wetting, Fluidics and Liquids at Interfaces and Surfaces (joint session CPP/DY)
CPP 20.8: Vortrag
Dienstag, 2. April 2019, 11:45–12:00, H13
Shallow water lattice Boltzmann simulations of thin film flows — •Stefan Zitz1, Andrea Scagliarini2, Suryanarayana Maddu Kondaiah3, Anton Darhuber4, and Jens Harting1,4 — 1Helmholtz Institute Erlangen-Nürnberg for Renewable Energy (IEK-11), Nürnberg, Germany — 2Institute for Applied Mathematics "M. Picone" (IAC-CNR), Rome, Italy — 3Center for System Biology (MPI-CBG), Dresden, Germany — 4Department of Applied Physics, Eindhoven University of Technology, Eindhoven, The Netherlands
We propose a novel approach to the numerical simulation of thin film flows, based on the viscocapillary shallow water equations. The integration is performed by the means of a suitably devised lattice Boltzmann method.
The numerical scheme is applied to the viscous Rayleigh-Taylor instability of a thin film under the influence of gravity as well as the spreading of a sessile drop towards its equilibrium contact angle. During the spreading we observe a linear correlation between the spreading speed and the contact angle, as theoretically predicted by the Cox-Voinov law.
Further we address the problem of a droplet sliding on an inclined plane. Due to the choice of the substrate friction we observe a pinning region for low forcing. When increasing the forcing by varying the droplet volume the droplet starts to slide and the Capillary number scales linearly with the Bond number.