ACS Publications. Most Trusted. Most Cited. Most Read
My Activity
CONTENT TYPES

Optimal Control of Droplets on a Solid Surface Using Distributed Contact Angles

  • Henning Bonart*
    Henning Bonart
    Technische Universität Berlin, Process Dynamics and Operations Group, Straße des 17. Juni 135, 10623 Berlin, Germany
    *E-mail: [email protected]
  • Christian Kahle
    Christian Kahle
    Universität Koblenz-Landau, Universitätsstraße 1, 56070 Koblenz, Germany
  • , and 
  • Jens-Uwe Repke
    Jens-Uwe Repke
    Technische Universität Berlin, Process Dynamics and Operations Group, Straße des 17. Juni 135, 10623 Berlin, Germany
Cite this: Langmuir 2020, 36, 30, 8894–8903
Publication Date (Web):July 6, 2020
https://doi.org/10.1021/acs.langmuir.0c01242
Copyright © 2020 American Chemical Society

    Article Views

    421

    Altmetric

    -

    Citations

    LEARN ABOUT THESE METRICS
    Other access options

    Abstract

    Abstract Image

    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.

    Read this article

    To access this article, please review the available access options below.

    Get instant access

    Purchase Access

    Read this article for 48 hours. Check out below using your ACS ID or as a guest.

    Recommended

    Access through Your Institution

    You may have access to this article through your institution.

    Your institution does not have access to this content. You can change your affiliated institution below.

    Cited By

    This article is cited by 3 publications.

    1. Yi-Wei Lin, Ying-Jhen Ciou, Da-Jeng Yao. Virtual Stencil for Patterning and Modeling in a Quantitative Volume Using EWOD and DEP Devices for Microfluidics. Micromachines 2021, 12 (9) , 1104. https://doi.org/10.3390/mi12091104
    2. Xinhong Xiong, Lulu Xue, Li Yang, Shihua Dong, Jiaxi Cui. Bio-inspired semi-infused adaptive surface with reconfigurable topography for on-demand droplet manipulation. Materials Chemistry Frontiers 2021, 5 (14) , 5382-5389. https://doi.org/10.1039/D1QM00399B
    3. Henning Bonart, Christian Kahle. Optimal Control of Sliding Droplets Using the Contact Angle Distribution. SIAM Journal on Control and Optimization 2021, 59 (2) , 1057-1082. https://doi.org/10.1137/20M1317773

    Pair your accounts.

    Export articles to Mendeley

    Get article recommendations from ACS based on references in your Mendeley library.

    Pair your accounts.

    Export articles to Mendeley

    Get article recommendations from ACS based on references in your Mendeley library.

    You’ve supercharged your research process with ACS and Mendeley!

    STEP 1:
    Click to create an ACS ID

    Please note: If you switch to a different device, you may be asked to login again with only your ACS ID.

    Please note: If you switch to a different device, you may be asked to login again with only your ACS ID.

    Please note: If you switch to a different device, you may be asked to login again with only your ACS ID.

    MENDELEY PAIRING EXPIRED
    Your Mendeley pairing has expired. Please reconnect