Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow
In recent works, we developed a model of balanced gas flow, where the momentum equation possesses an additional mean field forcing term, which originates from the hard sphere interaction potential between the gas particles. We demonstrated that, in our model, a turbulent gas flow with a Kolmogorov k...
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2021
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oai:doaj.org-article:bfd4b7dfac0a448e9d64da90b0f421522021-11-25T16:45:49ZTurbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow10.3390/atmos121115202073-4433https://doaj.org/article/bfd4b7dfac0a448e9d64da90b0f421522021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4433/12/11/1520https://doaj.org/toc/2073-4433In recent works, we developed a model of balanced gas flow, where the momentum equation possesses an additional mean field forcing term, which originates from the hard sphere interaction potential between the gas particles. We demonstrated that, in our model, a turbulent gas flow with a Kolmogorov kinetic energy spectrum develops from an otherwise laminar initial jet. In the current work, we investigate the possibility of a similar turbulent flow developing in a large-scale two-dimensional setting, where a strong external acceleration compresses the gas into a relatively thin slab along the third dimension. The main motivation behind the current work is the following. According to observations, horizontal turbulent motions in the Earth atmosphere manifest in a wide range of spatial scales, from hundreds of meters to thousands of kilometers. However, the air density rapidly decays with altitude, roughly by an order of magnitude each 15–20 km. This naturally raises the question as to whether or not there exists a dynamical mechanism which can produce large-scale turbulence within a purely two-dimensional gas flow. To our surprise, we discover that our model indeed produces turbulent flows and the corresponding Kolmogorov energy spectra in such a two-dimensional setting.Rafail V. AbramovMDPI AGarticlebalanced flowhard sphere gasturbulenceMeteorology. ClimatologyQC851-999ENAtmosphere, Vol 12, Iss 1520, p 1520 (2021) |
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balanced flow hard sphere gas turbulence Meteorology. Climatology QC851-999 |
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balanced flow hard sphere gas turbulence Meteorology. Climatology QC851-999 Rafail V. Abramov Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow |
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In recent works, we developed a model of balanced gas flow, where the momentum equation possesses an additional mean field forcing term, which originates from the hard sphere interaction potential between the gas particles. We demonstrated that, in our model, a turbulent gas flow with a Kolmogorov kinetic energy spectrum develops from an otherwise laminar initial jet. In the current work, we investigate the possibility of a similar turbulent flow developing in a large-scale two-dimensional setting, where a strong external acceleration compresses the gas into a relatively thin slab along the third dimension. The main motivation behind the current work is the following. According to observations, horizontal turbulent motions in the Earth atmosphere manifest in a wide range of spatial scales, from hundreds of meters to thousands of kilometers. However, the air density rapidly decays with altitude, roughly by an order of magnitude each 15–20 km. This naturally raises the question as to whether or not there exists a dynamical mechanism which can produce large-scale turbulence within a purely two-dimensional gas flow. To our surprise, we discover that our model indeed produces turbulent flows and the corresponding Kolmogorov energy spectra in such a two-dimensional setting. |
format |
article |
author |
Rafail V. Abramov |
author_facet |
Rafail V. Abramov |
author_sort |
Rafail V. Abramov |
title |
Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow |
title_short |
Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow |
title_full |
Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow |
title_fullStr |
Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow |
title_full_unstemmed |
Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow |
title_sort |
turbulence in large-scale two-dimensional balanced hard sphere gas flow |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/bfd4b7dfac0a448e9d64da90b0f42152 |
work_keys_str_mv |
AT rafailvabramov turbulenceinlargescaletwodimensionalbalancedhardspheregasflow |
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1718413040973512704 |