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DY: Fachverband Dynamik und Statistische Physik

DY 13: Wetting, Fluidics and Liquids at Interfaces and Surfaces (joint session CPP/DY)

DY 13.8: 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 Harting^1,4 — 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.