Explore how math helps keep reactor temps in check and neutron levels under control.
This book presents a rigorous look at a circulating fuel reactor model, showing how temperature and neutron density interact and how those quantities can stay bounded over time. It blends formulation, analysis, and numerical methods to give a clear view of the problem and its solutions.
- See how a cylindrical reactor with flowing fuel is described by coupled equations and dimensionless forms.
- Learn about conditions that guarantee steady states exist, and when non‑constant steady states are unique.
- Discover a finite‑difference approach to compute temperature and neutron density, including stability and error considerations.
- Understand how bounds on temperature and neutron density are derived and what they imply for reactor behavior.
Ideal for readers of applied mathematics and engineering who want a practical, math‑driven view of reactor dynamics and numerical analysis.