Complete fluid equations for low‐n singular modes in axisymmetric toroidal plasmas
A system of equations governing the singular region of magnetohydrodynamic (MHD) instabilities in a collisional, axisymmetric toroidal plasma with magnetic shear has been derived from Braginskii’s fluid equations. This is an extension of earlier work, incorporating anisotropic resistivity, anisotrop...
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| Veröffentlicht in: | Physics of fluids. B, Plasma physics Plasma physics, 1991-08, Vol.3 (8), p.2078-2095 |
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| container_title | Physics of fluids. B, Plasma physics |
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| creator | Glasser, Alan H. |
| description | A system of equations governing the singular region of magnetohydrodynamic (MHD) instabilities in a collisional, axisymmetric toroidal plasma with magnetic shear has been derived from Braginskii’s fluid equations. This is an extension of earlier work, incorporating anisotropic resistivity, anisotropic ion viscosity, anisotropic ion and electron thermal conductivity, and diamagnetic and E×B drifts. The equations describe the narrow layer in the neighborhood of a singular surface for tearing and interchange instabilities with low toroidal mode number n. Ordering assumptions allow for the maximum range of physical effects while retaining the principal terms in the earlier work and ensuring the validity of the fluid equations. The equations are complete in the sense that all terms, and only those terms, consistent with this carefully constructed ordering are included. |
| doi_str_mv | 10.1063/1.859621 |
| format | Article |
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This is an extension of earlier work, incorporating anisotropic resistivity, anisotropic ion viscosity, anisotropic ion and electron thermal conductivity, and diamagnetic and E×B drifts. The equations describe the narrow layer in the neighborhood of a singular surface for tearing and interchange instabilities with low toroidal mode number n. Ordering assumptions allow for the maximum range of physical effects while retaining the principal terms in the earlier work and ensuring the validity of the fluid equations. The equations are complete in the sense that all terms, and only those terms, consistent with this carefully constructed ordering are included.</description><identifier>ISSN: 0899-8221</identifier><identifier>EISSN: 2163-503X</identifier><identifier>DOI: 10.1063/1.859621</identifier><identifier>CODEN: PFBPEI</identifier><language>eng</language><publisher>New York, NY: American Institute of Physics</publisher><subject>640430 - Fluid Physics- Magnetohydrodynamics ; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; 700107 - Fusion Energy- Plasma Research- Instabilities ; ANISOTROPY ; ANNULAR SPACE ; CHARGED PARTICLES ; CLOSED CONFIGURATIONS ; COLLISIONAL PLASMA ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; CONFIGURATION ; DIAMAGNETISM ; DIFFERENTIAL EQUATIONS ; ELECTRIC CONDUCTIVITY ; ELECTRICAL PROPERTIES ; EQUATIONS ; EQUATIONS OF MOTION ; Exact sciences and technology ; FLUID MECHANICS ; FLUTE INSTABILITY ; HYDRODYNAMICS ; INSTABILITY ; IONS ; MAGNETIC FIELD CONFIGURATIONS ; MAGNETISM ; MAGNETOHYDRODYNAMICS ; MECHANICS ; PARTIAL DIFFERENTIAL EQUATIONS ; PHYSICAL PROPERTIES ; Physics ; Physics of gases, plasmas and electric discharges ; Physics of plasmas and electric discharges ; PLASMA ; PLASMA DRIFT ; PLASMA INSTABILITY ; PLASMA MACROINSTABILITIES ; SHEAR ; SINGULARITY ; SPACE ; SYMMETRY ; TEARING INSTABILITY ; TENSORS ; THERMAL CONDUCTIVITY ; THERMODYNAMIC PROPERTIES ; TOROIDAL CONFIGURATION ; VISCOSITY ; Waves, oscillations, and instabilities in plasmas and intense beams</subject><ispartof>Physics of fluids. B, Plasma physics, 1991-08, Vol.3 (8), p.2078-2095</ispartof><rights>American Institute of Physics</rights><rights>1992 INIST-CNRS</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2981-e0ce047333464ea06bdde91e0640e679a565734281973746f48389e59a8afa0d3</citedby><cites>FETCH-LOGICAL-c2981-e0ce047333464ea06bdde91e0640e679a565734281973746f48389e59a8afa0d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/pfb/article-lookup/doi/10.1063/1.859621$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,780,784,885,1559,27924,27925,76390</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5005263$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/5518742$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Glasser, Alan H.</creatorcontrib><title>Complete fluid equations for low‐n singular modes in axisymmetric toroidal plasmas</title><title>Physics of fluids. B, Plasma physics</title><description>A system of equations governing the singular region of magnetohydrodynamic (MHD) instabilities in a collisional, axisymmetric toroidal plasma with magnetic shear has been derived from Braginskii’s fluid equations. This is an extension of earlier work, incorporating anisotropic resistivity, anisotropic ion viscosity, anisotropic ion and electron thermal conductivity, and diamagnetic and E×B drifts. The equations describe the narrow layer in the neighborhood of a singular surface for tearing and interchange instabilities with low toroidal mode number n. Ordering assumptions allow for the maximum range of physical effects while retaining the principal terms in the earlier work and ensuring the validity of the fluid equations. The equations are complete in the sense that all terms, and only those terms, consistent with this carefully constructed ordering are included.</description><subject>640430 - Fluid Physics- Magnetohydrodynamics</subject><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>700107 - Fusion Energy- Plasma Research- Instabilities</subject><subject>ANISOTROPY</subject><subject>ANNULAR SPACE</subject><subject>CHARGED PARTICLES</subject><subject>CLOSED CONFIGURATIONS</subject><subject>COLLISIONAL PLASMA</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>CONFIGURATION</subject><subject>DIAMAGNETISM</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>ELECTRIC CONDUCTIVITY</subject><subject>ELECTRICAL PROPERTIES</subject><subject>EQUATIONS</subject><subject>EQUATIONS OF MOTION</subject><subject>Exact sciences and technology</subject><subject>FLUID MECHANICS</subject><subject>FLUTE INSTABILITY</subject><subject>HYDRODYNAMICS</subject><subject>INSTABILITY</subject><subject>IONS</subject><subject>MAGNETIC FIELD CONFIGURATIONS</subject><subject>MAGNETISM</subject><subject>MAGNETOHYDRODYNAMICS</subject><subject>MECHANICS</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>PHYSICAL PROPERTIES</subject><subject>Physics</subject><subject>Physics of gases, plasmas and electric discharges</subject><subject>Physics of plasmas and electric discharges</subject><subject>PLASMA</subject><subject>PLASMA DRIFT</subject><subject>PLASMA INSTABILITY</subject><subject>PLASMA MACROINSTABILITIES</subject><subject>SHEAR</subject><subject>SINGULARITY</subject><subject>SPACE</subject><subject>SYMMETRY</subject><subject>TEARING INSTABILITY</subject><subject>TENSORS</subject><subject>THERMAL CONDUCTIVITY</subject><subject>THERMODYNAMIC PROPERTIES</subject><subject>TOROIDAL CONFIGURATION</subject><subject>VISCOSITY</subject><subject>Waves, oscillations, and instabilities in plasmas and intense beams</subject><issn>0899-8221</issn><issn>2163-503X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNp90MtKAzEYhuEgCtYqeAlBXOhias6TLKV4goKbCu5CzCQamZmMyVTtzkvwGr0SW0e609W_efh-eAE4xGiCkaBneCK5EgRvgRHBghYc0fttMEJSqUISgnfBXs7PCBGGGR-B-TQ2Xe16B329CBV0LwvTh9hm6GOCdXz7-vhsYQ7t46I2CTaxchmGFpr3kJdN4_oULOxjiqEyNexqkxuT98GON3V2B793DO4uL-bT62J2e3UzPZ8VliiJC4esQ6yklDLBnEHioaqcwg4JhpwoleGCl5QRiVVJSyY8k1Qqx5WRxhtU0TE4GnZj7oPONvTOPtnYts72mnMsS0ZW6GRANsWck_O6S6Exaakx0utkGush2YoeD7Qz2ZraJ9PakDeeI8SJoCt2OrD1x59a_03-aV9j2jjdVZ5-A5Y2huA</recordid><startdate>199108</startdate><enddate>199108</enddate><creator>Glasser, Alan H.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>199108</creationdate><title>Complete fluid equations for low‐n singular modes in axisymmetric toroidal plasmas</title><author>Glasser, Alan H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2981-e0ce047333464ea06bdde91e0640e679a565734281973746f48389e59a8afa0d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>640430 - Fluid Physics- Magnetohydrodynamics</topic><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>700107 - Fusion Energy- Plasma Research- Instabilities</topic><topic>ANISOTROPY</topic><topic>ANNULAR SPACE</topic><topic>CHARGED PARTICLES</topic><topic>CLOSED CONFIGURATIONS</topic><topic>COLLISIONAL PLASMA</topic><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>CONFIGURATION</topic><topic>DIAMAGNETISM</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>ELECTRIC CONDUCTIVITY</topic><topic>ELECTRICAL PROPERTIES</topic><topic>EQUATIONS</topic><topic>EQUATIONS OF MOTION</topic><topic>Exact sciences and technology</topic><topic>FLUID MECHANICS</topic><topic>FLUTE INSTABILITY</topic><topic>HYDRODYNAMICS</topic><topic>INSTABILITY</topic><topic>IONS</topic><topic>MAGNETIC FIELD CONFIGURATIONS</topic><topic>MAGNETISM</topic><topic>MAGNETOHYDRODYNAMICS</topic><topic>MECHANICS</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>PHYSICAL PROPERTIES</topic><topic>Physics</topic><topic>Physics of gases, plasmas and electric discharges</topic><topic>Physics of plasmas and electric discharges</topic><topic>PLASMA</topic><topic>PLASMA DRIFT</topic><topic>PLASMA INSTABILITY</topic><topic>PLASMA MACROINSTABILITIES</topic><topic>SHEAR</topic><topic>SINGULARITY</topic><topic>SPACE</topic><topic>SYMMETRY</topic><topic>TEARING INSTABILITY</topic><topic>TENSORS</topic><topic>THERMAL CONDUCTIVITY</topic><topic>THERMODYNAMIC PROPERTIES</topic><topic>TOROIDAL CONFIGURATION</topic><topic>VISCOSITY</topic><topic>Waves, oscillations, and instabilities in plasmas and intense beams</topic><toplevel>online_resources</toplevel><creatorcontrib>Glasser, Alan H.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physics of fluids. B, Plasma physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Glasser, Alan H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Complete fluid equations for low‐n singular modes in axisymmetric toroidal plasmas</atitle><jtitle>Physics of fluids. B, Plasma physics</jtitle><date>1991-08</date><risdate>1991</risdate><volume>3</volume><issue>8</issue><spage>2078</spage><epage>2095</epage><pages>2078-2095</pages><issn>0899-8221</issn><eissn>2163-503X</eissn><coden>PFBPEI</coden><abstract>A system of equations governing the singular region of magnetohydrodynamic (MHD) instabilities in a collisional, axisymmetric toroidal plasma with magnetic shear has been derived from Braginskii’s fluid equations. This is an extension of earlier work, incorporating anisotropic resistivity, anisotropic ion viscosity, anisotropic ion and electron thermal conductivity, and diamagnetic and E×B drifts. The equations describe the narrow layer in the neighborhood of a singular surface for tearing and interchange instabilities with low toroidal mode number n. Ordering assumptions allow for the maximum range of physical effects while retaining the principal terms in the earlier work and ensuring the validity of the fluid equations. The equations are complete in the sense that all terms, and only those terms, consistent with this carefully constructed ordering are included.</abstract><cop>New York, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.859621</doi><tpages>18</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0899-8221 |
| ispartof | Physics of fluids. B, Plasma physics, 1991-08, Vol.3 (8), p.2078-2095 |
| issn | 0899-8221 2163-503X |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_859621 |
| source | AIP_美国物理联合会期刊回溯（NSTL购买） |
| subjects | 640430 - Fluid Physics- Magnetohydrodynamics 70 PLASMA PHYSICS AND FUSION TECHNOLOGY 700107 - Fusion Energy- Plasma Research- Instabilities ANISOTROPY ANNULAR SPACE CHARGED PARTICLES CLOSED CONFIGURATIONS COLLISIONAL PLASMA CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CONFIGURATION DIAMAGNETISM DIFFERENTIAL EQUATIONS ELECTRIC CONDUCTIVITY ELECTRICAL PROPERTIES EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FLUID MECHANICS FLUTE INSTABILITY HYDRODYNAMICS INSTABILITY IONS MAGNETIC FIELD CONFIGURATIONS MAGNETISM MAGNETOHYDRODYNAMICS MECHANICS PARTIAL DIFFERENTIAL EQUATIONS PHYSICAL PROPERTIES Physics Physics of gases, plasmas and electric discharges Physics of plasmas and electric discharges PLASMA PLASMA DRIFT PLASMA INSTABILITY PLASMA MACROINSTABILITIES SHEAR SINGULARITY SPACE SYMMETRY TEARING INSTABILITY TENSORS THERMAL CONDUCTIVITY THERMODYNAMIC PROPERTIES TOROIDAL CONFIGURATION VISCOSITY Waves, oscillations, and instabilities in plasmas and intense beams |
| title | Complete fluid equations for low‐n singular modes in axisymmetric toroidal plasmas |
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