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Main Title: Optimal Control of Droplets on a Solid Surface Using Distributed Contact Angles
Author(s): Bonart, Henning
Kahle, Christian
Repke, Jens-Uwe
Type: Article
Language Code: en
Abstract: Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. However, automating them, e.g., for high-throughput applications, rarely involves model-based optimal control strategies. In this work, we demonstrate the optimal control of both the shape and position of a droplet sliding on an inclined surface. This basic test case is a fundamental building block in plenty of microfluidic designs. The static contact angle between the solid surface, the surrounding gas, and the liquid droplet serves as the control variable. By using several control patches, e.g., like that performed in electrowetting, the contact angles are allowed to vary in space and time. In computer experiments, we are able to calculate mathematically optimal contact angle distributions using gradient-based optimization. The dynamics of the droplet are described by the Cahn–Hilliard–Navier–Stokes equations. We anticipate our demonstration to be the starting point for more sophisticated optimal design and control concepts.
Issue Date: 6-Jul-2020
Date Available: 24-Aug-2020
DDC Class: 621 Angewandte Physik
Subject(s): droplets
optimal control
contact angle
phase field modeling
Sponsor/Funder: DFG, 392533833, Direkte Numerische Simulation von Filmströmungen auf mikrostrukturierten Oberflächen
Journal Title: Langmuir
Publisher: American Chemical Society (ACS)
Publisher Place: Washington, DC
Volume: 36
Issue: 30
Article Number: 8903
Publisher DOI: 10.1021/acs.langmuir.0c01242
Page End: 8894
EISSN: 1520-5827
ISSN: 0743-7463
Appears in Collections:FG Dynamik und Betrieb technischer Anlagen » Publications

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