Exact Non-Local Hydrodynamics Predict Rarefaction Effects
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912111208169472 |
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| author | Kogelbauer, Florian Karlin, Ilya |
| author_facet | Kogelbauer, Florian Karlin, Ilya |
| contents | We combine the theory of slow spectral closure for linearized Boltzmann equations with Maxwell's kinetic boundary conditions to derive non-local hydrodynamics with arbitrary accommodation. Focusing on shear-mode dynamics, we obtain explicit steady state solutions in terms of Fourier integrals and closed-form expressions for the mean flow and the stress. We demonstrate that the exact non-local fluid model correctly predicts several rarefaction effects with accommodation, including the Couette flow and thermal creep in a plane channel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05428 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Non-Local Hydrodynamics Predict Rarefaction Effects Kogelbauer, Florian Karlin, Ilya Fluid Dynamics Mathematical Physics We combine the theory of slow spectral closure for linearized Boltzmann equations with Maxwell's kinetic boundary conditions to derive non-local hydrodynamics with arbitrary accommodation. Focusing on shear-mode dynamics, we obtain explicit steady state solutions in terms of Fourier integrals and closed-form expressions for the mean flow and the stress. We demonstrate that the exact non-local fluid model correctly predicts several rarefaction effects with accommodation, including the Couette flow and thermal creep in a plane channel. |
| title | Exact Non-Local Hydrodynamics Predict Rarefaction Effects |
| topic | Fluid Dynamics Mathematical Physics |
| url | https://arxiv.org/abs/2411.05428 |