Modeling of fluid-rigid body interaction in an electrically conducting fluid
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929240629313536 |
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| author | Scherz, Jan Schlömerkemper, Anja |
| author_facet | Scherz, Jan Schlömerkemper, Anja |
| contents | We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical assumptions under which a mathematical analysis of the model becomes feasible. Our main focus lies on the derivation of the boundary and interface conditions for the electromagnetic fields as well as the derivation of the magnetohydrodynamic approximation carried out via a nondimensionalization of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06965 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modeling of fluid-rigid body interaction in an electrically conducting fluid Scherz, Jan Schlömerkemper, Anja Mathematical Physics 35Q30, 76W05, 74F10, 35Q61 We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical assumptions under which a mathematical analysis of the model becomes feasible. Our main focus lies on the derivation of the boundary and interface conditions for the electromagnetic fields as well as the derivation of the magnetohydrodynamic approximation carried out via a nondimensionalization of the system. |
| title | Modeling of fluid-rigid body interaction in an electrically conducting fluid |
| topic | Mathematical Physics 35Q30, 76W05, 74F10, 35Q61 |
| url | https://arxiv.org/abs/2402.06965 |