Rayleigh convective instability in the presence of phase transitions of water vapor. The formation of large-scale eddies and cloud structures

B.Ya. Shmerlin^a, M.V. Kalashnik^a, b, c
^aFederal State Budget Organization, Research and Production Association Taifun, Lenina av. 82, Obninsk, Kaluga Region, 249020, Russian Federation
^bA M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation
^cObninsk Institute for Nuclear Power Engineering, Obninsk, Russian Federation

Convective motions in moist saturated air are accompanied by the release of latent heat of condensation. Taking into account this effect, the problem of convective instability of a moist saturated air layer, which generalizes the formulation of the classical Rayleigh problem, is considered. The analytical solution demonstrating the fundamental difference between moist convection and Rayleigh convection is obtained. At the loss of stability in the two-dimensional case solitary convective rolls or spatially periodic chains of rollers with localized areas of upward motion evolve. In the case of axial symmetry the growth of solitary convective vortices with circulation characteristic of tropical cyclones (hurricanes) and the scale of tornado scale to the scale of tropical cyclones is possible.

PACS: 44.25.+f, 47.20.Bp, 47.27.De, 47.55.P−, 92.60.Ox, 92.60.Qx (all)
DOI: 10.3367/UFNe.0183.201305d.0497
URL: https://ufn.ru/en/articles/2013/5/c/
Web of Science

000322890700003
Scopus

2-s2.0-84882934940
ADS NASA

2013PhyU...56..473S
Citation: Shmerlin B Ya, Kalashnik M V "Rayleigh convective instability in the presence of phase transitions of water vapor. The formation of large-scale eddies and cloud structures" Phys. Usp. 56 473–485 (2013)

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Received: 16th, February 2012, revised: 30th, March 2012, accepted: 3rd, April 2012

Оригинал: Шмерлин Б Я, Калашник М В «Конвективная неустойчивость Рэлея в присутствии фазовых переходов влаги. Формирование крупномасштабных вихрей и облачных структур» УФН 183 497–510 (2013); DOI: 10.3367/UFNr.0183.201305d.0497

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