Control-based continuation maps out unstable equilibria in laboratory two-phase flow
We apply control-based continuation, an experimental method used to explore the bifurcation structure of nonlinear systems, to a spatially extended system by examining the equilibrium configurations of a bubble placed at the center of a straining flow. Feedback control is delivered by injecting/with...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/nznz-zc63 |
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| author | Sammy Ayoubi João V. Fontana Anne Juel Alice B. Thompson |
| author_facet | Sammy Ayoubi João V. Fontana Anne Juel Alice B. Thompson |
| author_sort | Sammy Ayoubi |
| collection | DOAJ |
| description | We apply control-based continuation, an experimental method used to explore the bifurcation structure of nonlinear systems, to a spatially extended system by examining the equilibrium configurations of a bubble placed at the center of a straining flow. Feedback control is delivered by injecting/withdrawing fluid at actuation points and is chosen according to real-time observations of the bubble as viewed from above. The amplitude of actuation is used to locate its unstable equilibria, and thus enable their observation. We map the unstable steady shapes of the bubble as a function of straining flow rate and demonstrate excellent agreement of the resulting experimental bifurcation diagram with numerical predictions. |
| format | Article |
| id | doaj-art-2afb4b89636b459384bd21cdc14bb21e |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-2afb4b89636b459384bd21cdc14bb21e2025-08-20T02:40:18ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-0173L03200810.1103/nznz-zc63Control-based continuation maps out unstable equilibria in laboratory two-phase flowSammy AyoubiJoão V. FontanaAnne JuelAlice B. ThompsonWe apply control-based continuation, an experimental method used to explore the bifurcation structure of nonlinear systems, to a spatially extended system by examining the equilibrium configurations of a bubble placed at the center of a straining flow. Feedback control is delivered by injecting/withdrawing fluid at actuation points and is chosen according to real-time observations of the bubble as viewed from above. The amplitude of actuation is used to locate its unstable equilibria, and thus enable their observation. We map the unstable steady shapes of the bubble as a function of straining flow rate and demonstrate excellent agreement of the resulting experimental bifurcation diagram with numerical predictions.http://doi.org/10.1103/nznz-zc63 |
| spellingShingle | Sammy Ayoubi João V. Fontana Anne Juel Alice B. Thompson Control-based continuation maps out unstable equilibria in laboratory two-phase flow Physical Review Research |
| title | Control-based continuation maps out unstable equilibria in laboratory two-phase flow |
| title_full | Control-based continuation maps out unstable equilibria in laboratory two-phase flow |
| title_fullStr | Control-based continuation maps out unstable equilibria in laboratory two-phase flow |
| title_full_unstemmed | Control-based continuation maps out unstable equilibria in laboratory two-phase flow |
| title_short | Control-based continuation maps out unstable equilibria in laboratory two-phase flow |
| title_sort | control based continuation maps out unstable equilibria in laboratory two phase flow |
| url | http://doi.org/10.1103/nznz-zc63 |
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