Suppression of magnetorotational instability in viscous resistive magnetized Taylor–Couette flow
Magnetorotational instability (MRI) is an instability that is responsible for accretion, the phenomenon observed in astrophysical disks, for example around black holes. MRI can be modeled using the equations of MHD. A typical linear analysis in the past made use of the small Prandtl number approxima...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2018-04, Vol.69 (2), p.1-11, Article 49 |
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| creator | Eckhardt, Daniel Q. Herron, Isom H. |
| description | Magnetorotational instability (MRI) is an instability that is responsible for accretion, the phenomenon observed in astrophysical disks, for example around black holes. MRI can be modeled using the equations of MHD. A typical linear analysis in the past made use of the small Prandtl number approximation, which results in dropping one term from these equations. Previously, one of the authors (Herron) showed that the small magnetic Prandtl number approximation suppresses MRI in axisymmetric viscous resistive magnetized Taylor–Couette flow when one has no-slip velocity boundary conditions, and insulating magnetic boundary conditions. We follow up here with a proof that MRI is still suppressed with perfectly conducting magnetic boundary conditions on the cylinders. |
| doi_str_mv | 10.1007/s00033-018-0943-8 |
| format | Article |
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We follow up here with a proof that MRI is still suppressed with perfectly conducting magnetic boundary conditions on the cylinders.</description><subject>Accretion disks</subject><subject>Approximation</subject><subject>Axisymmetric flow</subject><subject>Black holes</subject><subject>Boundary conditions</subject><subject>Couette flow</subject><subject>Cylinders</subject><subject>Deposition</subject><subject>Engineering</subject><subject>Flow stability</subject><subject>Linear analysis</subject><subject>Magnetic fields</subject><subject>Magnetohydrodynamics</subject><subject>Mathematical analysis</subject><subject>Mathematical Methods in Physics</subject><subject>Prandtl number</subject><subject>Slip velocity</subject><subject>Theoretical and Applied Mechanics</subject><issn>0044-2275</issn><issn>1420-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kM9KAzEQh4MoWKsP4G3Bc3SS7HazRyn-g4IH6zlkdyclZbtZk2ylnnwH39AnMaWCJw_DDMPvG5iPkEsG1wygvAkAIAQFJilUuaDyiExYzoFWIKpjMgHIc8p5WZySsxDWKV0yEBNSv4zD4DEE6_rMmWyjVz1G513UMa10l9k-RF3bzsZdmrOtDY0bQ5YYG6Ld4i9iP7DNlnrXOf_9-TV3I8aImenc-zk5MboLePHbp-T1_m45f6SL54en-e2CNoLNItWFhFwzBrowjDdtw0uJkEpWdZvPsKwQeVtIYzSri0YapkWpazZDVpdtZcSUXB3uDt69jRiiWrvRpxeC4sChSiYkTyl2SDXeheDRqMHbjfY7xUDtVaqDSpVUqr1KJRPDD0xI2X6F_u_y_9AP-4l6YQ</recordid><startdate>20180401</startdate><enddate>20180401</enddate><creator>Eckhardt, Daniel Q.</creator><creator>Herron, Isom H.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-8172-0899</orcidid></search><sort><creationdate>20180401</creationdate><title>Suppression of magnetorotational instability in viscous resistive magnetized Taylor–Couette flow</title><author>Eckhardt, Daniel Q. ; Herron, Isom H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-a5804a110a5f12cdc278e078e89bd46e79ee2d58ffa1b5c8f1a37ab16e1b7d9f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Accretion disks</topic><topic>Approximation</topic><topic>Axisymmetric flow</topic><topic>Black holes</topic><topic>Boundary conditions</topic><topic>Couette flow</topic><topic>Cylinders</topic><topic>Deposition</topic><topic>Engineering</topic><topic>Flow stability</topic><topic>Linear analysis</topic><topic>Magnetic fields</topic><topic>Magnetohydrodynamics</topic><topic>Mathematical analysis</topic><topic>Mathematical Methods in Physics</topic><topic>Prandtl number</topic><topic>Slip velocity</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Eckhardt, Daniel Q.</creatorcontrib><creatorcontrib>Herron, Isom H.</creatorcontrib><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Eckhardt, Daniel Q.</au><au>Herron, Isom H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Suppression of magnetorotational instability in viscous resistive magnetized Taylor–Couette flow</atitle><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle><stitle>Z. 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| ispartof | Zeitschrift für angewandte Mathematik und Physik, 2018-04, Vol.69 (2), p.1-11, Article 49 |
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| language | eng |
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| subjects | Accretion disks Approximation Axisymmetric flow Black holes Boundary conditions Couette flow Cylinders Deposition Engineering Flow stability Linear analysis Magnetic fields Magnetohydrodynamics Mathematical analysis Mathematical Methods in Physics Prandtl number Slip velocity Theoretical and Applied Mechanics |
| title | Suppression of magnetorotational instability in viscous resistive magnetized Taylor–Couette flow |
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