
Nuclear Engineering ETDs
Publication Date
12-12-1969
Abstract
The initial-value problem for the transport of monoenergetic neutrons in slab geometry with delayed neutron production is studied using numerical methods based on the analysis of Kaper. The eigenvalues and eigenfunctions of the transport operator are found by numerical solution of the equations which result from application of the normal mode expansion method. The residual terms in this form of the solution of the initial-value problem are evaluated by direct numerical integrations on the (complex) resolvent set of the transport operator. The results obtained in this study are compared with the results from the method of matched asymptotic expansions.
Sponsors
The Atomic Energy Commission through its Special Fellowship Program in Nuclear Science and Engineering and its Associated Western Universities Fellowship Program
Document Type
Dissertation
Language
English
Degree Name
Nuclear Engineering
Level of Degree
Doctoral
Department Name
Nuclear Engineering
First Committee Member (Chair)
Ralph Douglas O'Dell
Second Committee Member
William L. Hendry
Third Committee Member
Robert Leroy Long
Fourth Committee Member
Glenn Alan Whan
Recommended Citation
DeMuth, Nelson S. Jr.. "The Time-Dependent Transport of Monoenergetic Neutron in Plane Geometry with Delayed Neutron Production." (1969). https://digitalrepository.unm.edu/ne_etds/138