{"id":41,"date":"2018-10-07T12:32:53","date_gmt":"2018-10-07T10:32:53","guid":{"rendered":"http:\/\/jwhaverkort.weblog.tudelft.nl\/?p=41"},"modified":"2020-07-09T06:41:15","modified_gmt":"2020-07-09T04:41:15","slug":"flow-shear-stabilizes-rotating-tokamak-plasmas","status":"publish","type":"post","link":"https:\/\/jwhaverkort.weblog.tudelft.nl\/?p=41","title":{"rendered":"Flow shear stabilizes rotating tokamak plasmas"},"content":{"rendered":"<blockquote><p>The extremely hot plasma inside a <em>tokamak\u00a0<\/em>nuclear fusion reactor\u00a0&#8216;floats&#8217; in a magnetic field to avoid contact with the walls. Plasma rotation has several different effects on the plasma stability, succinctly summarized in a comprehensive analytical stability criterion derived in the following publication:<\/p><\/blockquote>\n<p><a href=\"http:\/\/homepage.tudelft.nl\/20x40\/publications\/11_PPCF_JWHaverkort_2.pdf\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/homepage.tudelft.nl\/20x40\/img\/pdf.jpg\" width=\"22\" height=\"24\" border=\"0\" \/><b>Stability of localized modes in rotating tokamak plasmas<\/b><\/a><br \/>\nJ. W. Haverkort and H. J. de Blank.\u00a0<i>Plasma Physics and Controlled Fusion<\/i>, vol. 53, nr. 4, p. 045008.\u00a0\u00a9 2011\u00a0<a href=\"http:\/\/dx.doi.org\/10.1088\/0741-3335\/53\/4\/045008\" target=\"_blank\" rel=\"noopener\">DOI: 10.1088\/0741-3335\/53\/4\/045008<\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-55 aligncenter\" src=\"https:\/\/jwhaverkort.weblog.tudelft.nl\/files\/2018\/10\/tokamak-stability-criterion-300x128.jpg\" alt=\"\" width=\"300\" height=\"128\" srcset=\"https:\/\/jwhaverkort.weblog.tudelft.nl\/files\/2018\/10\/tokamak-stability-criterion-300x128.jpg 300w, https:\/\/jwhaverkort.weblog.tudelft.nl\/files\/2018\/10\/tokamak-stability-criterion-768x328.jpg 768w, https:\/\/jwhaverkort.weblog.tudelft.nl\/files\/2018\/10\/tokamak-stability-criterion-500x214.jpg 500w, https:\/\/jwhaverkort.weblog.tudelft.nl\/files\/2018\/10\/tokamak-stability-criterion.jpg 982w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Besides well-known terms arising from the Kelvin-Helmholtz, magneto-rotational, and Rayleigh-Taylor instabilities, the criterion also contains two stabilizing terms due to rotation. One was described in\u00a0an <a href=\"http:\/\/jwhaverkort.weblog.tudelft.nl\/2018\/10\/07\/tokamak-Brunt-Vaisala-frequency\">earlier post<\/a>. Another less known effect was discovered to be due the Coriolis force also responsible for the circulating weather patterns in the earth atmosphere.<\/p>\n<p>For certain conditions (See Eq. 3) the stabilizing influence of flow shear outweighs other destabilizing effects, allowing differential rotation to have a positive effect on tokamak stability.<\/p>\n<p><a href=\"http:\/\/homepage.tudelft.nl\/20x40\/publications\/12_PRE_JWHaverkort.pdf\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/homepage.tudelft.nl\/20x40\/img\/pdf.jpg\" width=\"22\" height=\"24\" border=\"0\" \/><b>Flow shear stabilization of rotating plasmas due to the Coriolis effect<\/b><\/a><br \/>\nJ. W. Haverkort and H. J. de Blank.\u00a0<i>Physical Review E<\/i>, vol. 86, 016411.\u00a0\u00a9 2012 The American Physical Society\u00a0<a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevE.86.016411\" target=\"_blank\" rel=\"noopener\">DOI: 10.1103\/PhysRevE.86.016411<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The extremely hot plasma inside a tokamak\u00a0nuclear fusion reactor\u00a0&#8216;floats&#8217; in a magnetic field to avoid contact with the walls. Plasma rotation has several different effects on the plasma stability, succinctly summarized in a comprehensive analytical stability criterion derived in the &hellip; <a href=\"https:\/\/jwhaverkort.weblog.tudelft.nl\/?p=41\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":6225,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,6],"tags":[],"_links":{"self":[{"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=\/wp\/v2\/posts\/41"}],"collection":[{"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=\/wp\/v2\/users\/6225"}],"replies":[{"embeddable":true,"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=41"}],"version-history":[{"count":6,"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=\/wp\/v2\/posts\/41\/revisions"}],"predecessor-version":[{"id":121,"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=\/wp\/v2\/posts\/41\/revisions\/121"}],"wp:attachment":[{"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=41"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=41"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jwhaverkort.weblog.tudelft.nl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=41"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}