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Electrostatic control of the Navier-Stokes equations for thin films
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Wray, Alexander W., Cimpeanu, Radu and Gomes, Susana N. (2022) Electrostatic control of the Navier-Stokes equations for thin films. Physical Review Fluids, 7 (12). L122001. doi:10.1103/PhysRevFluids.7.L122001 ISSN 2469-990X.
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WRAP-electrostatic-control-Navier-Stokes-equations-thin-films-Cimpeanu-2022.pdf - Accepted Version - Requires a PDF viewer. Download (2159Kb) | Preview |
Official URL: http://dx.doi.org/10.1103/PhysRevFluids.7.L122001
Abstract
A robust control scheme is derived and tested for the Navier-Stokes equations for two-dimensional multiphase flow of a thin film underneath an inclined solid surface. Control is exerted via the use of an electrode parallel to the substrate, which induces an electric field in the gas phase, and a resultant Maxwell stress at the liquid-gas interface. The imposed potential at the second electrode is derived using a model predictive control loop, together with optimal control of a high-fidelity reduced-dimensional model. In this implementation the interfacial shape of the fluid is successfully controlled; however, the algorithm is sufficiently general to control any other quantity of interest.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Thin films , Thin films -- Mathematical models , Navier-Stokes equations, Fluid dynamics -- Mathematical models | ||||||
| Journal or Publication Title: | Physical Review Fluids | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 2469-990X | ||||||
| Official Date: | 26 December 2022 | ||||||
| Dates: |
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| Volume: | 7 | ||||||
| Number: | 12 | ||||||
| Article Number: | L122001 | ||||||
| DOI: | 10.1103/PhysRevFluids.7.L122001 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | © 2022 American Physical Society | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 3 January 2023 | ||||||
| Date of first compliant Open Access: | 3 January 2023 | ||||||
| RIOXX Funder/Project Grant: |
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