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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2107.13736 |
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| _version_ | 1866910150193840128 |
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| author | Azim, Mohammed A. |
| author_facet | Azim, Mohammed A. |
| contents | In this study, new turbulence closure equations are derived in the light of turbulence as a continuous phase transition phenomenon. Closed-form Reynolds averaged Navier-Stokes equations due to those closure equations are solved numerically by treating turbulent viscosity as a tensor, unlike the eddy viscosity, for a plane turbulent jet. Overall agreement between the obtained results and the existing literature for the jet flow demonstrates the effectiveness of the new closure equations. Besides, turbulent stresses as a function of the normalized mean velocity exhibit their odd and even symmetries in the flow, which are manifestations of the free energy symmetry of continuous phase transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_13736 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Turbulence closure in the light of phase transition Azim, Mohammed A. Fluid Dynamics In this study, new turbulence closure equations are derived in the light of turbulence as a continuous phase transition phenomenon. Closed-form Reynolds averaged Navier-Stokes equations due to those closure equations are solved numerically by treating turbulent viscosity as a tensor, unlike the eddy viscosity, for a plane turbulent jet. Overall agreement between the obtained results and the existing literature for the jet flow demonstrates the effectiveness of the new closure equations. Besides, turbulent stresses as a function of the normalized mean velocity exhibit their odd and even symmetries in the flow, which are manifestations of the free energy symmetry of continuous phase transition. |
| title | Turbulence closure in the light of phase transition |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2107.13736 |