Two-dimensional analytical model of dry air thermal convection

In the present work, the steady-state stationary dry air thermal convection in a lower atmosphere has been studied theoretically. The thermal convection was considered without accounting for the Coriolis force, and with only the vertical temperature gradient. The stream function has been analyticall...

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Main Authors:	Zakinyan, R. G., Закинян, Р. Г., Zakinyan, A. R., Закинян, А. Р., Lukinov, A. A., Лукинов, А. А.
Format:	Статья
Language:	English
Published:	Springer-Verlag Wien 2018
Subjects:	Atmospheric modeling Boussinesq equation Coriolis force Flow stability Flow velocity Temperature gradient Thermal convection Two-dimensional modeling
Online Access:	https://www.scopus.com/record/display.uri?eid=2-s2.0-84937967224&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=dc7f8c6f40c1112203ece798567bdeb2&sot=afnl&sdt=cl&cluster=scopubyr%2c%222015%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=15&citeCnt=1&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/3696
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spelling	ir-20.500.12258-36962020-09-14T14:39:02Z Two-dimensional analytical model of dry air thermal convection Zakinyan, R. G. Закинян, Р. Г. Zakinyan, A. R. Закинян, А. Р. Lukinov, A. A. Лукинов, А. А. Atmospheric modeling Boussinesq equation Coriolis force Flow stability Flow velocity Temperature gradient Thermal convection Two-dimensional modeling In the present work, the steady-state stationary dry air thermal convection in a lower atmosphere has been studied theoretically. The thermal convection was considered without accounting for the Coriolis force, and with only the vertical temperature gradient. The stream function has been analytically obtained within the framework of two-dimensional thermal convection model in the Boussinesq approximation with velocity divergence taken as zero. It has been shown that the stream function is symmetrical about the horizontal and vertical. The expressions for the horizontal and vertical air velocity components have been obtained. The maximal vertical velocities level is in the center of the convective cell where the horizontal air velocity component is equal to zero. It has been shown that the air parcel’s rotation period during the thermal convection is determined by the Brunt–Väisälä frequency. The expression for the maximal air velocity vertical component has been found. The dependence of the maximal air velocity vertical component on the overheat function at ground surface and on the atmosphere instability has been demonstrated. The expression for the pressure disturbance has been obtained. It has been demonstrated that at the points with maximal pressure disturbance the vertical velocity is equal to zero and the horizontal velocity is maximal. It has been found that the convection cell size depends on the atmosphere stability state 2018-12-17T13:11:26Z 2018-12-17T13:11:26Z 2015 Статья Zakinyan, R.G., Zakinyan, A.R., Lukinov, A.A. Two-dimensional analytical model of dry air thermal convection // Meteorology and Atmospheric Physics. - 2015. - Volume 127. - Issue 4. - Pages 451-455 https://www.scopus.com/record/display.uri?eid=2-s2.0-84937967224&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=dc7f8c6f40c1112203ece798567bdeb2&sot=afnl&sdt=cl&cluster=scopubyr%2c%222015%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=15&citeCnt=1&searchTerm= http://hdl.handle.net/20.500.12258/3696 en Meteorology and Atmospheric Physics application/pdf application/pdf Springer-Verlag Wien
institution	СКФУ
collection	Репозиторий
language	English
topic	Atmospheric modeling Boussinesq equation Coriolis force Flow stability Flow velocity Temperature gradient Thermal convection Two-dimensional modeling
spellingShingle	Atmospheric modeling Boussinesq equation Coriolis force Flow stability Flow velocity Temperature gradient Thermal convection Two-dimensional modeling Zakinyan, R. G. Закинян, Р. Г. Zakinyan, A. R. Закинян, А. Р. Lukinov, A. A. Лукинов, А. А. Two-dimensional analytical model of dry air thermal convection
description	In the present work, the steady-state stationary dry air thermal convection in a lower atmosphere has been studied theoretically. The thermal convection was considered without accounting for the Coriolis force, and with only the vertical temperature gradient. The stream function has been analytically obtained within the framework of two-dimensional thermal convection model in the Boussinesq approximation with velocity divergence taken as zero. It has been shown that the stream function is symmetrical about the horizontal and vertical. The expressions for the horizontal and vertical air velocity components have been obtained. The maximal vertical velocities level is in the center of the convective cell where the horizontal air velocity component is equal to zero. It has been shown that the air parcel’s rotation period during the thermal convection is determined by the Brunt–Väisälä frequency. The expression for the maximal air velocity vertical component has been found. The dependence of the maximal air velocity vertical component on the overheat function at ground surface and on the atmosphere instability has been demonstrated. The expression for the pressure disturbance has been obtained. It has been demonstrated that at the points with maximal pressure disturbance the vertical velocity is equal to zero and the horizontal velocity is maximal. It has been found that the convection cell size depends on the atmosphere stability state
format	Статья
author	Zakinyan, R. G. Закинян, Р. Г. Zakinyan, A. R. Закинян, А. Р. Lukinov, A. A. Лукинов, А. А.
author_facet	Zakinyan, R. G. Закинян, Р. Г. Zakinyan, A. R. Закинян, А. Р. Lukinov, A. A. Лукинов, А. А.
author_sort	Zakinyan, R. G.
title	Two-dimensional analytical model of dry air thermal convection
title_short	Two-dimensional analytical model of dry air thermal convection
title_full	Two-dimensional analytical model of dry air thermal convection
title_fullStr	Two-dimensional analytical model of dry air thermal convection
title_full_unstemmed	Two-dimensional analytical model of dry air thermal convection
title_sort	two-dimensional analytical model of dry air thermal convection
publisher	Springer-Verlag Wien
publishDate	2018
url	https://www.scopus.com/record/display.uri?eid=2-s2.0-84937967224&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=dc7f8c6f40c1112203ece798567bdeb2&sot=afnl&sdt=cl&cluster=scopubyr%2c%222015%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=15&citeCnt=1&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/3696
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Two-dimensional analytical model of dry air thermal convection

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