neutron kinetics
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Mathematical Derivation and Stability Analysis of a Coupled Neutron Kinetics–Thermal Feedback Model for Nuclear Reactor Safety
Abstract: Nuclear reactor safety assessment requires accurate characterization of the coupled interaction between neutron population dynamics and thermal feedback during steady-state operation and transient conditions. This study develops a mathematically derived coupled neutron kinetics–thermal feedback model for analysing reactor stability and transient behaviour. The formulation integrates point reactor kinetics with delayed-neutron precursor dynamics, fuel-temperature evolution, coolant- temperature variation, and temperature-dependent reactivity feedback. The reactor is represented as a nonlinear dynamical system …
Published in Journal of Nuclear Engineering & Technology · Vol. 16, Issue 2, 2026 Read article
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Nonlinear Mathematical Modelling and Adaptive Optimization of Nuclear Reactor Thermal-Hydraulic Systems for Safe and Efficient Operation
Abstract: Advanced nuclear reactors are characterized by strongly coupled nonlinear interactions among neutron kinetics, reactor power, fuel temperature, coolant temperature, reactivity, and coolant flow. Accurate mathematical representation of these interactions is essential for analysing reactor stability, thermal behaviour, and safe operating conditions. This study develops a nonlinear mathematical framework for coupled neutronic–thermal reactor dynamics by integrating point-reactor kinetics, delayed-neutron precursor equations, fuel and coolant energy balances, and temperature- dependent reactivity feedback. …
Published in Journal of Thermal Engineering and Applications · Vol. 16, Issue 2, 2026 Read article