The Application of Topological Methods to the Kinetics of Homogeneous Reactors

The step and ramp responses of homogeneous reactors with a single negative temperature coefficient of reactivity and delayed neutrons are studied by means of topological methods. The properties of stability in the small and in the large are derived for the first time and particular solutions are found. An approximate analytical solution is also proposed in the case of no heat losses (adiabatic reactor model) and small or large reactivity variation.