Use of variational techniques for the estimation of neutron detection efficiency

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The neutron detection efficiency is a parameter required in the measurement of reactivity by the modified source technique. The direct solution of the detection efficiency at a perturbed state is costly. To solve for this, a particular variational functional, the Lewins' type variational functional, is presented. The functional is a ratio of two other functionals, each dealing with a reaction rate. The evaluation of this particular functional was done by treating the numerator and the denominator functionals separately. This leads to three flux equations, one for forward flux, and two for adjoint fluxes. The advantages of this formulation over, and ... continued below

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Pages: 99

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Lin, S.; Robinson, J.C. & Flanagan, G.F. February 1, 1976.

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Description

The neutron detection efficiency is a parameter required in the measurement of reactivity by the modified source technique. The direct solution of the detection efficiency at a perturbed state is costly. To solve for this, a particular variational functional, the Lewins' type variational functional, is presented. The functional is a ratio of two other functionals, each dealing with a reaction rate. The evaluation of this particular functional was done by treating the numerator and the denominator functionals separately. This leads to three flux equations, one for forward flux, and two for adjoint fluxes. The advantages of this formulation over, and the equivalence of this formulation to, the conventional functional presented in the literature are described in detail. The flexibility of the proposed functional is demonstrated by using it to estimate the detection efficiency with four different methods: variational interpolation, conventional variational, variational extrapolation, and multi- reference-state variational. Results are presented for one-dimensional and two- dimensional problems. All results are compared with direct calculations. In all cases, the results show that the variational interpolational method and the multi- reference-state variational method are efficient and practically acceptable.

Physical Description

Pages: 99

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Dep. NTIS

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  • Other Information: Thesis. Submitted to Univ. of Tennessee, Knoxville. Orig. Receipt Date: 30-JUN-76

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  • Report No.: ORNL/TM--5239
  • Grant Number: W-7405-ENG-26
  • DOI: 10.2172/4031867 | External Link
  • Office of Scientific & Technical Information Report Number: 4031867
  • Archival Resource Key: ark:/67531/metadc867667

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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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  • February 1, 1976

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  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 20, 2016, 6:18 p.m.

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Lin, S.; Robinson, J.C. & Flanagan, G.F. Use of variational techniques for the estimation of neutron detection efficiency, thesis or dissertation, February 1, 1976; Tennessee. (digital.library.unt.edu/ark:/67531/metadc867667/: accessed October 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.