Joint Instability of Hydromagnetic Fields which are Separately Stable
It is found that certain parallel magnetic fields can destabilize the plane Couette flow of a perfectly conducting fluid, though this flow is known to be stable when there is no field. The destabilizing role of the rigidity of the field is attributed to its ability to prevent the stretching of curve...
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| Veröffentlicht in: | Physics of Fluids (U.S.) 1963-05, Vol.6 (5), p.636-642 |
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| container_title | Physics of Fluids (U.S.) |
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| creator | Stern, Melvin E. |
| description | It is found that certain parallel magnetic fields can destabilize the plane Couette flow of a perfectly conducting fluid, though this flow is known to be stable when there is no field. The destabilizing role of the rigidity of the field is attributed to its ability to prevent the stretching of curves of constant perturbation vorticity by the shear. Unstable long waves transfer energy to the mean magnetic field from the kinetic field by means of the Reynolds stresses. This suggests the possibility of maintaining an electrical current which is initially introduced between two differentially rotating cylinders. |
| doi_str_mv | 10.1063/1.1706793 |
| format | Article |
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The destabilizing role of the rigidity of the field is attributed to its ability to prevent the stretching of curves of constant perturbation vorticity by the shear. Unstable long waves transfer energy to the mean magnetic field from the kinetic field by means of the Reynolds stresses. 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The destabilizing role of the rigidity of the field is attributed to its ability to prevent the stretching of curves of constant perturbation vorticity by the shear. Unstable long waves transfer energy to the mean magnetic field from the kinetic field by means of the Reynolds stresses. This suggests the possibility of maintaining an electrical current which is initially introduced between two differentially rotating cylinders.</description><subject>COUETTE FLOW</subject><subject>CURRENTS</subject><subject>CYLINDERS</subject><subject>ELECTRIC CONDUCTIVITY</subject><subject>ENERGY</subject><subject>FLUID FLOW</subject><subject>MAGNETIC FIELDS</subject><subject>MAGNETOHYDRODYNAMICS</subject><subject>OSCILLATIONS</subject><subject>PHYSICS</subject><subject>ROTATION</subject><subject>SHEAR</subject><subject>STABILITY</subject><subject>STRESSES</subject><subject>TENSILE PROPERTIES</subject><subject>TURBULENCE</subject><subject>VISCOSITY</subject><issn>0031-9171</issn><issn>2163-4998</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1963</creationdate><recordtype>article</recordtype><recordid>eNp90E1LAzEQBuAgCtbqwX8QvClszWyym81RSr-k4KF6DtnsrI1sNyUJyP57t7RnmcNcnnkZXkIegc2AlfwVZiBZKRW_IpMcSp4JpaprMmGMQ6ZAwi25i_GHsVyA4BOyePeuT3TTx2Rq17k0UN_S9dAEfzDfPSZn6dJh10T6u3d2T01AusOjCSZhN9DdeNbhPblpTRfx4bKn5Gu5-Jyvs-3HajN_22aWFzJlQgAaVWBeVONrnMu6tgXjAlkhlS0BmraQNm9ywbkSZVMzYFhLgcJUHPKKT8nTOdfH5HS0LqHdW9_3aJMWko0jR_R8Rjb4GAO2-hjcwYRBA9OnkjToS0mjfTnbU5ZJzvf_4D_cIGS0</recordid><startdate>196305</startdate><enddate>196305</enddate><creator>Stern, Melvin E.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>196305</creationdate><title>Joint Instability of Hydromagnetic Fields which are Separately Stable</title><author>Stern, Melvin E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c357t-441ea95e258163337bbc5034e0579c611df57c2d2433946db010eb74e4a831283</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1963</creationdate><topic>COUETTE FLOW</topic><topic>CURRENTS</topic><topic>CYLINDERS</topic><topic>ELECTRIC CONDUCTIVITY</topic><topic>ENERGY</topic><topic>FLUID FLOW</topic><topic>MAGNETIC FIELDS</topic><topic>MAGNETOHYDRODYNAMICS</topic><topic>OSCILLATIONS</topic><topic>PHYSICS</topic><topic>ROTATION</topic><topic>SHEAR</topic><topic>STABILITY</topic><topic>STRESSES</topic><topic>TENSILE PROPERTIES</topic><topic>TURBULENCE</topic><topic>VISCOSITY</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Stern, Melvin E.</creatorcontrib><creatorcontrib>Woods Hole Oceanographic Institution, Mass</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physics of Fluids (U.S.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Stern, Melvin E.</au><aucorp>Woods Hole Oceanographic Institution, Mass</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Joint Instability of Hydromagnetic Fields which are Separately Stable</atitle><jtitle>Physics of Fluids (U.S.)</jtitle><date>1963-05</date><risdate>1963</risdate><volume>6</volume><issue>5</issue><spage>636</spage><epage>642</epage><pages>636-642</pages><issn>0031-9171</issn><eissn>2163-4998</eissn><coden>PFLDAS</coden><abstract>It is found that certain parallel magnetic fields can destabilize the plane Couette flow of a perfectly conducting fluid, though this flow is known to be stable when there is no field. The destabilizing role of the rigidity of the field is attributed to its ability to prevent the stretching of curves of constant perturbation vorticity by the shear. Unstable long waves transfer energy to the mean magnetic field from the kinetic field by means of the Reynolds stresses. This suggests the possibility of maintaining an electrical current which is initially introduced between two differentially rotating cylinders.</abstract><doi>10.1063/1.1706793</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0031-9171 |
| ispartof | Physics of Fluids (U.S.), 1963-05, Vol.6 (5), p.636-642 |
| issn | 0031-9171 2163-4998 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_1706793 |
| source | Alma/SFX Local Collection |
| subjects | COUETTE FLOW CURRENTS CYLINDERS ELECTRIC CONDUCTIVITY ENERGY FLUID FLOW MAGNETIC FIELDS MAGNETOHYDRODYNAMICS OSCILLATIONS PHYSICS ROTATION SHEAR STABILITY STRESSES TENSILE PROPERTIES TURBULENCE VISCOSITY |
| title | Joint Instability of Hydromagnetic Fields which are Separately Stable |
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