A SIMPLE METHOD OF DETERMINING THE EFFECT OF REACTOR TEMPERATURE ON CRITICALITY CONDITIONS

Abstract

As part of a series of studies designed to simplify reactor analysis for use in engineering evaluations, an analysis is made of the effect of reactor temperature on criticality conditions, and simple relations are obtained for calculating these effects. The buckling (and hence reactor size for criticality) may be expressed as a function of the fission, capture, and scatter cross sections of the reactor materials averaged over the flux spectrum. If these parameter averages are known for one reactor temperature, then the simple relations derived in this study allow computation for other reactor temperatures. A substantial simplification of the analysis results from the assumption that the major part of the influence of reactor temperature comes from the changes in the cross sections and in the values of the flux distribution in the vicinity of thermal energy. Good agreement is obtained between the values computed from the equations and the values obtained from an 18-group machine calculation performed for a series of reactors covering a temperature range from 25 C to 1450 C.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0408947

Entities

People

  • A. LĂ©onard
  • B. Pinkel
  • G. B. Young

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Absorption
  • Absorption Cross Sections
  • Air Force
  • Climate Change
  • Collisions
  • Energy
  • Energy Bands
  • Energy Levels
  • Government Procurement
  • Materials
  • Mean Free Path
  • Neutron Cross Sections
  • Neutron Flux
  • Reactor Materials
  • Reactor Moderators
  • Thermal Reactors
  • United States

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Organic Chemistry
  • Plasma Physics.