Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913539986292736 |
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| author | McKee, Kyle I. Bush, John W. M. |
| author_facet | McKee, Kyle I. Bush, John W. M. |
| contents | In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the realization of potential flows with circulation. We present canonical Hele-Shaw experiments with circulation prescribed by the electromagnetic configuration, and rationalize the observed flows theoretically. We also draw an analogy between this new class of circulatory potential flows and a class of electrostatic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07366 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell McKee, Kyle I. Bush, John W. M. Fluid Dynamics Complex Variables In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the realization of potential flows with circulation. We present canonical Hele-Shaw experiments with circulation prescribed by the electromagnetic configuration, and rationalize the observed flows theoretically. We also draw an analogy between this new class of circulatory potential flows and a class of electrostatic systems. |
| title | Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell |
| topic | Fluid Dynamics Complex Variables |
| url | https://arxiv.org/abs/2410.07366 |