NUCLEAR CORE DYNAMICS
This course reviews the mathematics of nuclear reactor kinetics. Linear systems of ordinary differential equations are solved by state vector techniques, laplace transform techniques, or finite difference techniques including the treatment of discretization errors resulting from various finite differencing approximations. A review of the physics of nuclear kinetics is followed by treatments of the kinetics equations including the effect of uncertainties, approximate solutions, and the interpretation of experiments to measure kinetics parameters. Representations and the physical basis of reactivity feedback mechanisms are treated. Lumped and distributed parameter models of fuel, coolant, fission products are derived and applied to develop quantitative static relationships and qualitative dynamic results for transient conditions. The course provides an introduction to space dependent reactor kinetics.