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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Autor principal: Rafail V. Abramov
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/bfd4b7dfac0a448e9d64da90b0f42152
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic balanced flow
hard sphere gas
turbulence
Meteorology. Climatology
QC851-999
spellingShingle balanced flow
hard sphere gas
turbulence
Meteorology. Climatology
QC851-999
Rafail V. Abramov
Turbulence in Large-Scale Two-Dimensional Balanced Hard Sphere Gas Flow
description 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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