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Application of the Variational Method to the Calculation of the Time Dependence of the Neutron Flux in Small Pulsed Slabs, Cylinders and Spheres

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Description

The variational method is applied to the monoenergetic time dependent transport equation to obtain a simple relation for the asymptotic decay constant in small pulsed assemblies. The results indicate that flat trial functions may be a reasonable representation of the flux distributions in the thin slab limit. This approach is superior to many of the usual transport approximations.

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20 pages : illustrations, charts, graphs.

Creation Information

Judge, F. D. & Daitch, Paul B. (Paul Bernard), 1925- December 16, 1963.

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This report is part of the collection entitled: Technical Report Archive and Image Library and was provided by the UNT Libraries Government Documents Department to the UNT Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 19 times. More information about this report can be viewed below.

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  • Main Title: Application of the Variational Method to the Calculation of the Time Dependence of the Neutron Flux in Small Pulsed Slabs, Cylinders and Spheres
  • Series Title: Atomic Energy Commission Reports
  • Added Title: CONF (Series)
  • Series Title: AEC publication CONF
  • Added Title: AEC publication CONF-187-27

Description

The variational method is applied to the monoenergetic time dependent transport equation to obtain a simple relation for the asymptotic decay constant in small pulsed assemblies. The results indicate that flat trial functions may be a reasonable representation of the flux distributions in the thin slab limit. This approach is superior to many of the usual transport approximations.

Physical Description

20 pages : illustrations, charts, graphs.

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Digitized from microopaque cards.

Talk to be given at the American Nuclear Society Meeting, New York, New York, November 18-21, 1963.

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  • Report No.: CONF-187-27
  • Grant Number: W-31-109-ENG-52
  • SuDoc Number: Y 3.At 7:22/CONF-187-27
  • Accession or Local Control No: metadc1201718
  • Archival Resource Key: ark:/67531/metadc1201718

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Technical Report Archive and Image Library

The Technical Report Archive & Image Library (TRAIL) identifies, acquires, catalogs, digitizes and provides unrestricted access to U.S. government agency technical reports. The mission of TRAIL is to ensure preservation, discoverability, and persistent open access to government technical publications regardless of form or format.

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Imaged from microcard, these technical reports describe research performed for U.S. government agencies from the 1930s to the 1960s. The reports were provided by the Technical Report Archive and Image Library (TRAIL).

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  • December 16, 1963

Added to The UNT Digital Library

  • Aug. 27, 2019, 3:53 p.m.

Description Last Updated

  • April 1, 2020, 4:55 p.m.

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Thumbnail image of item number 1 in: 'Application of the Variational Method to the Calculation of the Time Dependence of the Neutron Flux in Small Pulsed Slabs, Cylinders and Spheres'.
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Judge, F. D. & Daitch, Paul B. (Paul Bernard), 1925-. Application of the Variational Method to the Calculation of the Time Dependence of the Neutron Flux in Small Pulsed Slabs, Cylinders and Spheres, report, December 16, 1963; Oak Ridge, Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1201718/: accessed December 14, 2025), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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