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      Generation of a large-scale vorticity in a fast rotating density stratified turbulence or turbulent convection

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          Abstract

          We find an instability resulting in generation of large-scale vorticity in a fast rotating density stratified small-scale turbulence or turbulent convection. In a simplest case when the angular velocity is along gravity (the vertical direction), the large-scale instability causes excitation of two modes: (i) the mode with dominant vertical vorticity and with the mean velocity being independent of the vertical coordinate; (ii) the mode with dominant horizontal vorticity and with the mean momentum being independent of the vertical coordinate. The mode with the dominant vertical vorticity can be excited in a fast rotating density stratified hydrodynamic turbulence or turbulent convection. For this mode, the mean entropy is depleted inside the cyclonic vortex, while the mean entropy is enhanced inside the anti-cyclonic vortex. The mode with the dominant horizontal vorticity can be excited only in a fast rotating density stratified turbulent convection. The developed theory may be relevant for explanation of an origin of large spots observed as immense storms in great planets, e.g., the Great Red Spot in Jupiter and large spots in Saturn. It may be also useful for explanation of an origin of high-latitude spots in rapidly rotating late-type stars.

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          The Great White Spot and disturbances in Saturn's equatorial atmosphere during 1990

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            Author and article information

            Journal
            24 June 2019
            Article
            1906.10041

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            NORDITA-2019-065
            10 pages, revtex-4
            physics.flu-dyn astro-ph.EP astro-ph.SR

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