Solution for a Nonlinear Nuclear Reactor with Negative Prompt Feedback and One-Group Delayed Neutron.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1973
- Accession Number
- AD0764195
Entities
People
- Nguyen Van Minh
Organizations
- Naval Postgraduate School