A novel mathematical model for boiling water reactor design and performance optimization

This paper presents a novel mathematical model for the design and performance analysis of Boiling Water Reactors (BWRs). The model integrates neutron diffusion, thermal-hydraulic behavior, and boiling heat transfer to provide a comprehensive framework for predicting reactor core performance under both steady-state and transient conditions. Key equations governing neutron flux distribution, power generation, temperature gradients, and coolant flow are derived and coupled to simulate the interactions between nuclear fission and heat transfer processes. The main contribution of this work lies in the dynamic coupling of neutron kinetics and thermal-hydraulic processes, which provides a more accurate representation of reactor behavior compared to traditional models. This integrated approach allows for more precise predictions of power-to-temperature relationships and coolant flow patterns, which are critical for optimizing reactor design and enhancing fuel utilization. Additionally, the model’s ability to simulate transient behaviors, such as reactivity insertion and power ramp-up, further strengthens its utility in reactor safety and performance optimization. The proposed model offers significant potential for improving the efficiency and safety of BWRs by enabling better core design, optimizing fuel usage, and enhancing thermal management. Future work will focus on refining the model to incorporate more detailed fuel behavior and multi-phase flow dynamics to improve its predictive accuracy and applicability in more complex reactor systems.