Accession Number : AD0764195

Title :   Solution for a Nonlinear Nuclear Reactor with Negative Prompt Feedback and One-Group Delayed Neutron.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : VAN Minh,Nguyen

Report Date : JUN 1973

Pagination or Media Count : 88

Abstract : The nonlinear space time neutron flux equation with negative prompt feedback and one-group delayed neutron is reduced by the use of a nonlinear transformation to a partial differential equation, in which the nonlinear term represents a small perturbation. The general procedure of solution for the resulting weakly nonlinear initial-boundary-value problem is then established by means of the method of successive approximation. Convergence of the analytical solution is also discussed. The solutions to a slab reactor core and a cylindrical reactor core are investigated here. Asymptotic stable equilibrium states are derived from each of these solutions. The present results are consistent with those obtained from previous stability analysis for the generalized buckling K greater or less than (Mu sub 0, sup 2), the lowest eigenvalue of the associated linear Helmholtz equation. (Author)

Descriptors :   (*REACTOR KINETICS, STABILITY), (*NEUTRON FLUX, THERMAL NEUTRONS), NONLINEAR DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, MULTIPLICATION FACTOR, TRANSFORMATIONS(MATHEMATICS), APPROXIMATION(MATHEMATICS), THESES

Subject Categories : Fission Reactor Physics
      Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE