Transformation of the single energy group transport, equation to axissymmetric toroidal coordinates

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The streaming term of the single energy group transport equation was derived for a general class of axisymmetric toroidal geometries using a tensor transformation formalism. The particular case of nested circular toroids treated previously by Pomraning and Stevens may be obtained by direct substitution into the equation. Other, more complicated geometries of interest to plasma physics and fusion reactor research are obtainable in the same manner. The cylindrical limit in which the azimuthal curvature is neglected may be obtained by taking the ratio of the poloidal curvature to X$sup 1$, the toroidal curvature, to zero. Similarly the planar limit results ... continued below

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4 p.

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Gralnick, S.L. January 1, 1975.

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Description

The streaming term of the single energy group transport equation was derived for a general class of axisymmetric toroidal geometries using a tensor transformation formalism. The particular case of nested circular toroids treated previously by Pomraning and Stevens may be obtained by direct substitution into the equation. Other, more complicated geometries of interest to plasma physics and fusion reactor research are obtainable in the same manner. The cylindrical limit in which the azimuthal curvature is neglected may be obtained by taking the ratio of the poloidal curvature to X$sup 1$, the toroidal curvature, to zero. Similarly the planar limit results when both curvatures are small compared to the inverse of the physical dimension measured normal to the toroidal surface. (auth)

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4 p.

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Dep. NTIS

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  • IEEE 6. symposium on engineering problems of fusion research, San Diego, California, USA, 17 Nov 1975

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  • Report No.: CONF-751125--103
  • Grant Number: None
  • Office of Scientific & Technical Information Report Number: 4096645
  • Archival Resource Key: ark:/67531/metadc871104

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 1975

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  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 10, 2017, 8:45 p.m.

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Gralnick, S.L. Transformation of the single energy group transport, equation to axissymmetric toroidal coordinates, article, January 1, 1975; New Jersey. (digital.library.unt.edu/ark:/67531/metadc871104/: accessed April 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.