Degree Type
Dissertation
Date of Award
1990
Degree Name
Doctor of Philosophy
Department
Nuclear Engineering
First Advisor
A. F. Rohach
Abstract
The problem of a parallelipiped void occupying a nodal position in the diffusion nodal method is investigated. To solve for the neutron partial currents that couple the void to its surrounding nodes, the concept of overall transfer matrix is introduced. This transfer matrix, when multiplied by the column vector containing the Legendre coefficients of the spatial flux in the neighboring node, produces the outbound neutron partial currents. This method does not require the solution of the neutron transport or diffusion equation inside the void but rather uses the faces of the void as P1 distributed neutron sources and finds the subsequent neutron streaming through the void. The benchmark problem consists of balancing the number of neutrons per second that enters the void with the number per second that exits from it and the results have been found satisfactory to better than 0.1%.
DOI
https://doi.org/10.31274/rtd-180813-10309
Publisher
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Copyright Owner
Mohamed Boussoufi
Copyright Date
1990
Language
en
Proquest ID
AAI9100420
File Format
application/pdf
File Size
92 pages
Recommended Citation
Boussoufi, Mohamed, "Incorporation of a rectangular void into a three-dimensional neutron diffusion nodal model " (1990). Retrospective Theses and Dissertations. 11246.
https://lib.dr.iastate.edu/rtd/11246
