Ideal magnetohydrodynamic equilibria with helical symmetry and incompressible flows
dc.contributor.author | Throumoulopoulos, G. N. | en |
dc.contributor.author | Tasso, H. | en |
dc.date.accessioned | 2015-11-24T18:27:15Z | |
dc.date.available | 2015-11-24T18:27:15Z | |
dc.identifier.issn | 0022-3778 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/16005 | |
dc.rights | Default Licence | - |
dc.subject | plasma | en |
dc.subject | stellarator | en |
dc.subject | mode | en |
dc.title | Ideal magnetohydrodynamic equilibria with helical symmetry and incompressible flows | en |
heal.abstract | A recent study on axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows [H. Tasso and G. N. Throumoulopoulos, Phys. Plasmas 5, 2378 (1998)] is extended to the generic case: of helically symmetric equilibria with incompressible flows. It is shown that the equilibrium states of the system under consideration are governed by an elliptic pal tial differential equation for the helical magnetic flux function psi containing five surface quantities along with a relation for the pressure. The above-mentioned equation can be transformed to one possessing a differential part identical in form to the corresponding static equilibrium equation, which is amenable to several classes of analytical solutions. In particular equilibria with electric fields perpendicular to time magnetic surfaces and non-constant-Mach-number flows are constructed. Unlike the case in axisymmetric equilibria with isothermal magnetic surfaces, helically symmetric T = T(psi) equilibria are overdetermined, i.e. in this case the equilibrium equations reduce to a set of eight ordinary differential equations with seven surface quantities. In addition, the non-existence is proved of incompressible helically symmetric equilibria with (a) purely helical flows and (b) non-parallel flows with isothermal magnetic surfaces and with the magnetic field modulus a surface quantity (omnigenous equilibria). | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.identifier.secondary | <Go to ISI>://000084690700006 | - |
heal.journalName | Journal of Plasma Physics | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 1999 | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιών | el |
heal.type | journalArticle | - |
heal.type.el | Άρθρο Περιοδικού | el |
heal.type.en | Journal article | en |
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