NEW SOLUTIONS OF THE BOLTZMANN EQUATION FOR MONOENERGETIC NEUTRON TRANSPORT IN SPHERICAL GEOMETRY

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Solutions of the Boltzmann equation for monoenergetic neutron transport in spherical geometry are derived which are respectively singular and regular at the center of the sphere. A few specific partial singular solutions are presented. The regular solutions in spherical geometry are constructed by superposition of solutions in plane geometry which belong to the same k. Finally, the solutions are compared with their representations by a series of spherical harmonics. (D. L.C.)

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Pages: 92

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Kofink, W. November 17, 1961.

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Description

Solutions of the Boltzmann equation for monoenergetic neutron transport in spherical geometry are derived which are respectively singular and regular at the center of the sphere. A few specific partial singular solutions are presented. The regular solutions in spherical geometry are constructed by superposition of solutions in plane geometry which belong to the same k. Finally, the solutions are compared with their representations by a series of spherical harmonics. (D. L.C.)

Physical Description

Pages: 92

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  • Other Information: Orig. Receipt Date: 31-DEC-62

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  • Report No.: ORNL-3216
  • Grant Number: W-7405-ENG-26
  • DOI: 10.2172/4833518 | External Link
  • Office of Scientific & Technical Information Report Number: 4833518
  • Archival Resource Key: ark:/67531/metadc1055650

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • November 17, 1961

Added to The UNT Digital Library

  • Jan. 22, 2018, 7:23 a.m.

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  • Feb. 1, 2018, 3:20 p.m.

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Kofink, W. NEW SOLUTIONS OF THE BOLTZMANN EQUATION FOR MONOENERGETIC NEUTRON TRANSPORT IN SPHERICAL GEOMETRY, report, November 17, 1961; Tennessee. (digital.library.unt.edu/ark:/67531/metadc1055650/: accessed August 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.