Reduced dimensional description of hydromagnetic turbulence capturing higher order fluid moments
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914030935867392 |
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| author | Saikia, Arindam Mukherjee, Rupak |
| author_facet | Saikia, Arindam Mukherjee, Rupak |
| contents | In this paper, Chandrasekhar's deductive theory of turbulence is extended to the case of hydrodynamics and hydromagnetics, with higher order fluid moments. We include the contributions from correlation tensors at two different points of space and two different points in time to account for the energy transfer between Fourier modes with different $k$ values. We start with three governing equations using the first three moments of Vlasov equation, which gives us particle, momentum and energy conservation relations, respectively. We obtain the scalar representations of correlation tensors for hydrodynamics as well as hydromagnetics. Finally we pick an example from literature where the energy spectra alone was not capable of explaining the observations reported by the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reduced dimensional description of hydromagnetic turbulence capturing higher order fluid moments Saikia, Arindam Mukherjee, Rupak Fluid Dynamics Solar and Stellar Astrophysics Plasma Physics In this paper, Chandrasekhar's deductive theory of turbulence is extended to the case of hydrodynamics and hydromagnetics, with higher order fluid moments. We include the contributions from correlation tensors at two different points of space and two different points in time to account for the energy transfer between Fourier modes with different $k$ values. We start with three governing equations using the first three moments of Vlasov equation, which gives us particle, momentum and energy conservation relations, respectively. We obtain the scalar representations of correlation tensors for hydrodynamics as well as hydromagnetics. Finally we pick an example from literature where the energy spectra alone was not capable of explaining the observations reported by the authors. |
| title | Reduced dimensional description of hydromagnetic turbulence capturing higher order fluid moments |
| topic | Fluid Dynamics Solar and Stellar Astrophysics Plasma Physics |
| url | https://arxiv.org/abs/2409.19704 |