Analysis of classical transport equations for the Tokamak edge plasma

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The classical fluid transport equations for a magnet-plasma as given, for example, by Braginskii [1], are complicated in their most general form. Here we obtain the simplest reduced set which contains the essential physics of the tokamak edge problem in slab geometry by systematically applying a parameter ordering and making use of specific symmetries. An important ingredient is a consistent set of boundary conditions as described elsewhere [2]. This model clearly resolves some important issues concerning diamagnetic drifts, high parallel viscosity, and the ambipolarity constraint. The final equations can also serve as a model for understanding the structure of the ... continued below

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9 pages; Other: FDE: PDF

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Rognlien, T. D., LLNL September 29, 1997.

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The classical fluid transport equations for a magnet-plasma as given, for example, by Braginskii [1], are complicated in their most general form. Here we obtain the simplest reduced set which contains the essential physics of the tokamak edge problem in slab geometry by systematically applying a parameter ordering and making use of specific symmetries. An important ingredient is a consistent set of boundary conditions as described elsewhere [2]. This model clearly resolves some important issues concerning diamagnetic drifts, high parallel viscosity, and the ambipolarity constraint. The final equations can also serve as a model for understanding the structure of the equations in the presence of anomalous transport terms arising from fluctuations. In fact, Braginskii-like equations are the basis of a number of scrape-off layer (SOL) transport codes [3]. However, all of these codes contain ad hoc radial diffusion terms and often neglect some classical terms, both of which make the self-consistency of the models questionable. Braginskii's equations [1] have been derived from the first principles via the kinetic equations and, thereby, contain such ''built-in'' features as the symmetry of kinetic coefficients, and automatic quasineutrality of a cross-field diffusion in a system with toroidal symmetry such as a tokamak. Our model thus maintains these properties.

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9 pages; Other: FDE: PDF

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OSTI as DE00016405

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  • Plasma Edge Theory Conference, Oxford (GB), 09/15/1997--09/17/1997; Other Information: Supercedes report DE98051024; PBD: 29 Sep 97

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  • Other: DE98051024
  • Report No.: UCRL-JC-127390
  • Report No.: CONF-9709115*--
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 16405
  • Archival Resource Key: ark:/67531/metadc625499

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  • September 29, 1997

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  • June 16, 2015, 7:43 a.m.

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  • Dec. 16, 2016, 4:43 p.m.

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Rognlien, T. D., LLNL. Analysis of classical transport equations for the Tokamak edge plasma, article, September 29, 1997; (digital.library.unt.edu/ark:/67531/metadc625499/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.