Transport equations in axisymmetric toroidal coordinates

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Description

A derivation is presented of the conservation law form of the single energy group transport equation in an axisymmetric toroidal coordinate system formed by rotating a nest of smooth, simply closed, plane curves of arbitrary parametric description about an axis which does not intersect the nest. This general equation may be used for generating equations specific to particular cross section geometries, or as the basis of a finite difference equation for the general case. The effect of both the toroidal and poloidal curvatures of the system are investigated, and criteria for the validity of cylindrical and planar approximations are established. ... continued below

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Pages: 33

Creation Information

Gralnick, S.L. December 1, 1975.

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Description

A derivation is presented of the conservation law form of the single energy group transport equation in an axisymmetric toroidal coordinate system formed by rotating a nest of smooth, simply closed, plane curves of arbitrary parametric description about an axis which does not intersect the nest. This general equation may be used for generating equations specific to particular cross section geometries, or as the basis of a finite difference equation for the general case. The effect of both the toroidal and poloidal curvatures of the system are investigated, and criteria for the validity of cylindrical and planar approximations are established. The diffusion equation for this geometry is derived, and it is shown to be formally homologous to the ''r-theta'' cylindrical diffusion equation if the coordinate system is orthogonal and if the azimuthal coordinate, phi, is ignorable. (auth)

Physical Description

Pages: 33

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Dep. NTIS

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  • Other Information: Orig. Receipt Date: 30-JUN-76

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  • Report No.: MATT--1181
  • Grant Number: E(11-1)-3073
  • DOI: 10.2172/4076521 | External Link
  • Office of Scientific & Technical Information Report Number: 4076521
  • Archival Resource Key: ark:/67531/metadc866600

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  • December 1, 1975

Added to The UNT Digital Library

  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 27, 2016, 7:42 p.m.

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Gralnick, S.L. Transport equations in axisymmetric toroidal coordinates, report, December 1, 1975; New Jersey. (digital.library.unt.edu/ark:/67531/metadc866600/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.