Thermoelectric magnetohydrodynamic flow in a liquid metal-infused trench
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917710627078144 |
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| author | Bond, Oliver George Howell, Peter Denis |
| author_facet | Bond, Oliver George Howell, Peter Denis |
| contents | We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating how the fluid velocity, induced magnetic field and temperature change depending on the key physical and geometrical parameters. The observed flow structures are elucidated by using the method of matched asymptotic expansions to obtain approximate solutions in the limit where the Hartmann number is large and the trench walls are thin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermoelectric magnetohydrodynamic flow in a liquid metal-infused trench Bond, Oliver George Howell, Peter Denis Fluid Dynamics We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating how the fluid velocity, induced magnetic field and temperature change depending on the key physical and geometrical parameters. The observed flow structures are elucidated by using the method of matched asymptotic expansions to obtain approximate solutions in the limit where the Hartmann number is large and the trench walls are thin. |
| title | Thermoelectric magnetohydrodynamic flow in a liquid metal-infused trench |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2407.02470 |