Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics
A theory of large-scale flows in a rotating astrophysical plasma under conditions of non-trivial properties of the physical medium, which are not described by the classical hydrodynamic theory of plasma, is developed. As a first step, the theory is developed within a neutral fluid model to describe...
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description | A theory of large-scale flows in a rotating astrophysical plasma under conditions of non-trivial properties of the physical medium, which are not described by the classical hydrodynamic theory of plasma, is developed. As a first step, the theory is developed within a neutral fluid model to describe astrophysical plasma, with a subsequent generalization in mind to take into account magnetic effects. Such a model is of independent importance for studying turbulent dynamo in star-forming regions in galaxies and hydrodynamic instabilities in poorly ionized disks, for describing meridional flows below convective zones in low-mass stars and on the Sun, as well as for studying oscillations of the Sun and stars. Therefore, the results obtained have a wider application, e.g., for describing geophysical currents. The theory is based on two key ideas developed in plasma astrophysics: the use of a shallow water model with large-scale compressibility and the use of a two-layer shallow water model. Equations for two-layer shallow water are derived taking into account rotation and the effect of flow sphericity on rotation, in which the effects of large-scale compressibility are taken into account in the upper layer. For a rotating system, dispersion relations are obtained for Poincaré waves in two-layer shallow water, taking into account large-scale compressibility; similar dispersion relations for Poincaré waves are obtained in the high-frequency limit taking into account the effect of sphericity on rotation; in the low-frequency limit, a dispersion relation is obtained for Rossby waves. It is shown that the dispersion relations for Poincaré waves, taking into account the sphericity of the flow, have a qualitatively different form, which leads to three-wave interactions of Poincaré waves and the interaction of two Poincaré waves with a Rossby wave, which are not observed in a single-layer flow of a compressible fluid. All types of three-wave interactions for the flows under consideration are studied using the method of multiscale expansions. |
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A. ; Klimachkov, D. A. ; Petrosyan, A. S.</creator><creatorcontrib>Yudenkova, M. A. ; Klimachkov, D. A. ; Petrosyan, A. S.</creatorcontrib><description>A theory of large-scale flows in a rotating astrophysical plasma under conditions of non-trivial properties of the physical medium, which are not described by the classical hydrodynamic theory of plasma, is developed. As a first step, the theory is developed within a neutral fluid model to describe astrophysical plasma, with a subsequent generalization in mind to take into account magnetic effects. Such a model is of independent importance for studying turbulent dynamo in star-forming regions in galaxies and hydrodynamic instabilities in poorly ionized disks, for describing meridional flows below convective zones in low-mass stars and on the Sun, as well as for studying oscillations of the Sun and stars. Therefore, the results obtained have a wider application, e.g., for describing geophysical currents. The theory is based on two key ideas developed in plasma astrophysics: the use of a shallow water model with large-scale compressibility and the use of a two-layer shallow water model. Equations for two-layer shallow water are derived taking into account rotation and the effect of flow sphericity on rotation, in which the effects of large-scale compressibility are taken into account in the upper layer. For a rotating system, dispersion relations are obtained for Poincaré waves in two-layer shallow water, taking into account large-scale compressibility; similar dispersion relations for Poincaré waves are obtained in the high-frequency limit taking into account the effect of sphericity on rotation; in the low-frequency limit, a dispersion relation is obtained for Rossby waves. It is shown that the dispersion relations for Poincaré waves, taking into account the sphericity of the flow, have a qualitatively different form, which leads to three-wave interactions of Poincaré waves and the interaction of two Poincaré waves with a Rossby wave, which are not observed in a single-layer flow of a compressible fluid. All types of three-wave interactions for the flows under consideration are studied using the method of multiscale expansions.</description><identifier>ISSN: 1063-780X</identifier><identifier>EISSN: 1562-6938</identifier><identifier>DOI: 10.1134/S1063780X24600865</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Atomic ; Compressibility effects ; Compressible fluids ; Fluid dynamics ; Fluid flow ; Galaxies ; Low mass stars ; Magnetic effects ; Magnetic properties ; Meridional flow ; Molecular ; Optical and Plasma Physics ; Physical simulation ; Physics ; Physics and Astronomy ; Planetary waves ; Plasma ; Rotating plasmas ; Rotating spheres ; Rotation ; Shallow water ; Space Plasma ; Star formation ; Water compressibility ; Wave interaction</subject><ispartof>Plasma physics reports, 2024-06, Vol.50 (6), p.724-741</ispartof><rights>Pleiades Publishing, Ltd. 2024. ISSN 1063-780X, Plasma Physics Reports, 2024, Vol. 50, No. 6, pp. 724–741. © Pleiades Publishing, Ltd., 2024.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c198t-5845c2b53081c107d32483138ed9dbf10571b626eaed5dd1a402b83a834d5a6a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1063780X24600865$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063780X24600865$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Yudenkova, M. A.</creatorcontrib><creatorcontrib>Klimachkov, D. A.</creatorcontrib><creatorcontrib>Petrosyan, A. S.</creatorcontrib><title>Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics</title><title>Plasma physics reports</title><addtitle>Plasma Phys. Rep</addtitle><description>A theory of large-scale flows in a rotating astrophysical plasma under conditions of non-trivial properties of the physical medium, which are not described by the classical hydrodynamic theory of plasma, is developed. As a first step, the theory is developed within a neutral fluid model to describe astrophysical plasma, with a subsequent generalization in mind to take into account magnetic effects. Such a model is of independent importance for studying turbulent dynamo in star-forming regions in galaxies and hydrodynamic instabilities in poorly ionized disks, for describing meridional flows below convective zones in low-mass stars and on the Sun, as well as for studying oscillations of the Sun and stars. Therefore, the results obtained have a wider application, e.g., for describing geophysical currents. The theory is based on two key ideas developed in plasma astrophysics: the use of a shallow water model with large-scale compressibility and the use of a two-layer shallow water model. Equations for two-layer shallow water are derived taking into account rotation and the effect of flow sphericity on rotation, in which the effects of large-scale compressibility are taken into account in the upper layer. For a rotating system, dispersion relations are obtained for Poincaré waves in two-layer shallow water, taking into account large-scale compressibility; similar dispersion relations for Poincaré waves are obtained in the high-frequency limit taking into account the effect of sphericity on rotation; in the low-frequency limit, a dispersion relation is obtained for Rossby waves. It is shown that the dispersion relations for Poincaré waves, taking into account the sphericity of the flow, have a qualitatively different form, which leads to three-wave interactions of Poincaré waves and the interaction of two Poincaré waves with a Rossby wave, which are not observed in a single-layer flow of a compressible fluid. All types of three-wave interactions for the flows under consideration are studied using the method of multiscale expansions.</description><subject>Atomic</subject><subject>Compressibility effects</subject><subject>Compressible fluids</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Galaxies</subject><subject>Low mass stars</subject><subject>Magnetic effects</subject><subject>Magnetic properties</subject><subject>Meridional flow</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physical simulation</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Planetary waves</subject><subject>Plasma</subject><subject>Rotating plasmas</subject><subject>Rotating spheres</subject><subject>Rotation</subject><subject>Shallow water</subject><subject>Space Plasma</subject><subject>Star formation</subject><subject>Water compressibility</subject><subject>Wave interaction</subject><issn>1063-780X</issn><issn>1562-6938</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLAzEQhYMoWKs_wNuC59WZZJNmj1KsFSoeWsXbMpukbUq7W5Mt0n9vSkUP4mkevO-9gcfYNcItoijupghKDDS880IBaCVPWA-l4rkqhT5NOtn5wT9nFzGuABC1xB6bTigsXD41tHbZeG9Da_cNbbzJRuv2M2a-yZ6d9ZR9-m6ZvVHwVCdytnRh84MOlxTIdC742HkTL9nZnNbRXX3fPnsdPcyG43zy8vg0vJ_kBkvd5VIX0vBaCtBoEAZW8EILFNrZ0tZzBDnAWnHlyFlpLVIBvNaCtCisJEWiz26OvdvQfuxc7KpVuwtNelmlTiVECagShUfKhDbG4ObVNvgNhX2FUB22q_5slzL8mImJbRYu_Db_H_oCHdRwOA</recordid><startdate>20240601</startdate><enddate>20240601</enddate><creator>Yudenkova, M. A.</creator><creator>Klimachkov, D. A.</creator><creator>Petrosyan, A. S.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20240601</creationdate><title>Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics</title><author>Yudenkova, M. A. ; Klimachkov, D. A. ; Petrosyan, A. S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c198t-5845c2b53081c107d32483138ed9dbf10571b626eaed5dd1a402b83a834d5a6a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Atomic</topic><topic>Compressibility effects</topic><topic>Compressible fluids</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Galaxies</topic><topic>Low mass stars</topic><topic>Magnetic effects</topic><topic>Magnetic properties</topic><topic>Meridional flow</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physical simulation</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Planetary waves</topic><topic>Plasma</topic><topic>Rotating plasmas</topic><topic>Rotating spheres</topic><topic>Rotation</topic><topic>Shallow water</topic><topic>Space Plasma</topic><topic>Star formation</topic><topic>Water compressibility</topic><topic>Wave interaction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yudenkova, M. A.</creatorcontrib><creatorcontrib>Klimachkov, D. A.</creatorcontrib><creatorcontrib>Petrosyan, A. S.</creatorcontrib><collection>CrossRef</collection><jtitle>Plasma physics reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yudenkova, M. A.</au><au>Klimachkov, D. A.</au><au>Petrosyan, A. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics</atitle><jtitle>Plasma physics reports</jtitle><stitle>Plasma Phys. Rep</stitle><date>2024-06-01</date><risdate>2024</risdate><volume>50</volume><issue>6</issue><spage>724</spage><epage>741</epage><pages>724-741</pages><issn>1063-780X</issn><eissn>1562-6938</eissn><abstract>A theory of large-scale flows in a rotating astrophysical plasma under conditions of non-trivial properties of the physical medium, which are not described by the classical hydrodynamic theory of plasma, is developed. As a first step, the theory is developed within a neutral fluid model to describe astrophysical plasma, with a subsequent generalization in mind to take into account magnetic effects. Such a model is of independent importance for studying turbulent dynamo in star-forming regions in galaxies and hydrodynamic instabilities in poorly ionized disks, for describing meridional flows below convective zones in low-mass stars and on the Sun, as well as for studying oscillations of the Sun and stars. Therefore, the results obtained have a wider application, e.g., for describing geophysical currents. The theory is based on two key ideas developed in plasma astrophysics: the use of a shallow water model with large-scale compressibility and the use of a two-layer shallow water model. Equations for two-layer shallow water are derived taking into account rotation and the effect of flow sphericity on rotation, in which the effects of large-scale compressibility are taken into account in the upper layer. For a rotating system, dispersion relations are obtained for Poincaré waves in two-layer shallow water, taking into account large-scale compressibility; similar dispersion relations for Poincaré waves are obtained in the high-frequency limit taking into account the effect of sphericity on rotation; in the low-frequency limit, a dispersion relation is obtained for Rossby waves. It is shown that the dispersion relations for Poincaré waves, taking into account the sphericity of the flow, have a qualitatively different form, which leads to three-wave interactions of Poincaré waves and the interaction of two Poincaré waves with a Rossby wave, which are not observed in a single-layer flow of a compressible fluid. All types of three-wave interactions for the flows under consideration are studied using the method of multiscale expansions.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063780X24600865</doi><tpages>18</tpages></addata></record> |
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subjects | Atomic Compressibility effects Compressible fluids Fluid dynamics Fluid flow Galaxies Low mass stars Magnetic effects Magnetic properties Meridional flow Molecular Optical and Plasma Physics Physical simulation Physics Physics and Astronomy Planetary waves Plasma Rotating plasmas Rotating spheres Rotation Shallow water Space Plasma Star formation Water compressibility Wave interaction |
title | Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics |
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