Magnetohydrodynamic turbulence at moderate magnetic Reynolds number
We consider the case of homogeneous turbulence in a conducting fluid that is exposed to a uniform external magnetic field at low to moderate magnetic Reynolds numbers (by moderate we mean here values as high as 20). When the magnetic Reynolds number is vanishingly small ($R_m \ll 1$), it is customar...
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| Veröffentlicht in: | Journal of fluid mechanics 2004-08, Vol.513, p.199-220 |
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| container_title | Journal of fluid mechanics |
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| creator | KNAEPEN, B. KASSINOS, S. CARATI, D. |
| description | We consider the case of homogeneous turbulence in a conducting fluid that is exposed to a uniform external magnetic field at low to moderate magnetic Reynolds numbers (by moderate we mean here values as high as 20). When the magnetic Reynolds number is vanishingly small ($R_m \ll 1$), it is customary to simplify the governing magnetohydrodynamic (MHD) equations using what is known as the quasi-static (QS) approximation. As the magnetic Reynolds number is increased, a progressive transition between the physics described by the QS approximation and the MHD equations occurs. We show here that this intermediate regime can be described by another approximation which we call the quasi-linear (QL) approximation. For the numerical simulations performed, the predictions of the QL approximation are in good agreement with those of MHD for magnetic Reynolds number up to $R_m \sim 20$. |
| doi_str_mv | 10.1017/S0022112004000023 |
| format | Article |
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When the magnetic Reynolds number is vanishingly small ($R_m \ll 1$), it is customary to simplify the governing magnetohydrodynamic (MHD) equations using what is known as the quasi-static (QS) approximation. As the magnetic Reynolds number is increased, a progressive transition between the physics described by the QS approximation and the MHD equations occurs. We show here that this intermediate regime can be described by another approximation which we call the quasi-linear (QL) approximation. For the numerical simulations performed, the predictions of the QL approximation are in good agreement with those of MHD for magnetic Reynolds number up to $R_m \sim 20$.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/S0022112004000023</identifier><identifier>CODEN: JFLSA7</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Exact sciences and technology ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Isotropic turbulence; homogeneous turbulence ; Magnetic fields ; Magnetohydrodynamics and electrohydrodynamics ; Physics ; Physics of gases, plasmas and electric discharges ; Physics of plasmas and electric discharges ; Plasma turbulence ; Reynolds number ; Turbulent flows, convection, and heat transfer ; Waves, oscillations, and instabilities in plasmas and intense beams</subject><ispartof>Journal of fluid mechanics, 2004-08, Vol.513, p.199-220</ispartof><rights>2004 Cambridge University Press</rights><rights>2004 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c461t-1833a6ec174d712fc7b9d64fdcf827967d91d458e133728b1ddd08c94247e9dc3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112004000023/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16078020$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>KNAEPEN, B.</creatorcontrib><creatorcontrib>KASSINOS, S.</creatorcontrib><creatorcontrib>CARATI, D.</creatorcontrib><title>Magnetohydrodynamic turbulence at moderate magnetic Reynolds number</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>We consider the case of homogeneous turbulence in a conducting fluid that is exposed to a uniform external magnetic field at low to moderate magnetic Reynolds numbers (by moderate we mean here values as high as 20). When the magnetic Reynolds number is vanishingly small ($R_m \ll 1$), it is customary to simplify the governing magnetohydrodynamic (MHD) equations using what is known as the quasi-static (QS) approximation. As the magnetic Reynolds number is increased, a progressive transition between the physics described by the QS approximation and the MHD equations occurs. We show here that this intermediate regime can be described by another approximation which we call the quasi-linear (QL) approximation. For the numerical simulations performed, the predictions of the QL approximation are in good agreement with those of MHD for magnetic Reynolds number up to $R_m \sim 20$.</description><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Isotropic turbulence; homogeneous turbulence</subject><subject>Magnetic fields</subject><subject>Magnetohydrodynamics and electrohydrodynamics</subject><subject>Physics</subject><subject>Physics of gases, plasmas and electric discharges</subject><subject>Physics of plasmas and electric discharges</subject><subject>Plasma turbulence</subject><subject>Reynolds number</subject><subject>Turbulent flows, convection, and heat transfer</subject><subject>Waves, oscillations, and instabilities in plasmas and intense beams</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kEtLJDEUhYM4YOv4A9wVgu7KyU1SSWo5NOqIPYpPxE1IJbec0no4SRXY_95qu1FQvJu7ON85HA4hO0APgIL6dUUpYwCMUkHHY3yNTEDIPFVSZOtkspDThb5BNmN8pBQ4zdWETP_ahxb77t_ch87PW9tULumHUAw1tg4T2ydN5zHYHpPmDR31S5y3Xe1j0g5NgeEn-VHaOuL26m-Rm6PD6-mfdHZ-fDL9PUudkNCnoDm3Eh0o4RWw0qki91KU3pWaqVwqn4MXmUbgXDFdgPeeapcLJhTm3vEtsr_MfQ7d_wFjb5oqOqxr22I3RMM0E1pl2QjufgIfuyG0YzfDgGqlGYcRgiXkQhdjwNI8h6qxYW6AmsWm5sumo2dvFWyjs3UZbOuq-GGUVGnK6MilS66KPb686zY8Gam4yow8vjCz09v7U312Z_KR56sutilC5R_wo_H3bV4BWq2Tsw</recordid><startdate>20040825</startdate><enddate>20040825</enddate><creator>KNAEPEN, B.</creator><creator>KASSINOS, S.</creator><creator>CARATI, D.</creator><general>Cambridge University Press</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L.G</scope><scope>L6V</scope><scope>L7M</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20040825</creationdate><title>Magnetohydrodynamic turbulence at moderate magnetic Reynolds number</title><author>KNAEPEN, B. ; 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Fluid Mech</addtitle><date>2004-08-25</date><risdate>2004</risdate><volume>513</volume><spage>199</spage><epage>220</epage><pages>199-220</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>We consider the case of homogeneous turbulence in a conducting fluid that is exposed to a uniform external magnetic field at low to moderate magnetic Reynolds numbers (by moderate we mean here values as high as 20). When the magnetic Reynolds number is vanishingly small ($R_m \ll 1$), it is customary to simplify the governing magnetohydrodynamic (MHD) equations using what is known as the quasi-static (QS) approximation. As the magnetic Reynolds number is increased, a progressive transition between the physics described by the QS approximation and the MHD equations occurs. We show here that this intermediate regime can be described by another approximation which we call the quasi-linear (QL) approximation. For the numerical simulations performed, the predictions of the QL approximation are in good agreement with those of MHD for magnetic Reynolds number up to $R_m \sim 20$.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112004000023</doi><tpages>22</tpages></addata></record> |
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| subjects | Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Isotropic turbulence homogeneous turbulence Magnetic fields Magnetohydrodynamics and electrohydrodynamics Physics Physics of gases, plasmas and electric discharges Physics of plasmas and electric discharges Plasma turbulence Reynolds number Turbulent flows, convection, and heat transfer Waves, oscillations, and instabilities in plasmas and intense beams |
| title | Magnetohydrodynamic turbulence at moderate magnetic Reynolds number |
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