Inhour equation 2026-10-20
The characteristic relation between imposed reactor reactivity and exponential growth or decay rates in a point kinetics model. Several kinetic modes can coexist; the late-time behaviour is determined by the mode with greatest real growth rate that is actually excited.
The point kinetics model replaces the spatially and spectrally distributed neutron field by a single amplitude , effectively assuming a fixed or sufficiently slowly varying flux shape. The source amplitude is . A single effective delayed neutron precursor population , delayed neutron fraction and decay rate stand in for many precursor species with different lifetimes. is the prompt neutron generation time and the specified reactor reactivity.
The displayed equations omit explicit thermal-hydraulic, fuel-temperature and isotope-composition feedback. For the stated constant-coefficient transients, are prescribed rather than being solved as evolving fields. The model is useful for an elementary timescale calculation; it does not establish the spatial stability or operating limits of an actual core.
The effective time associated with successive prompt fission generations in a specified point kinetics model. It is distinct from a macroscopic population growth period, which also depends on reactor reactivity and delayed neutrons.