Fractional-Order Models for Nuclear Reactor Analysis

Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in the context of anomalous diffusion processes in an accessible and practical way. The book emphasizes the importance of non-Fickian diffusion in heterogeneous systems as the core of the nuclear reactor, as well as different variations of diffusion processes in nuclear reactors which are presented to establish the importance of nuclear and thermohydraulic phenomena and the physical side effects of feedback. In addition, the book analyzes core issues in fractional modeling in nuclear reactors surrounding phenomenological description and important analytical sub-diffusive processes in the transport neutron.

Users will find the most innovative modeling techniques of nuclear reactors using operator differentials of fractional order and applications in nuclear design and reactor dynamics. Proposed methods are tested with Boltzmann equations and non-linear order models alongside real data from nuclear power plants, making this a valuable resource for nuclear professionals, researchers and graduate students, as well as those working in nuclear research centers with expertise in mathematical modeling, physics and control.

Presents and analyzes a new paradigm of nuclear reactor phenomena with fractional modelingConsiders principles of fractional calculation, methods of solving differential equations of fractional order, and their applicationsIncludes methodologies of linear and nonlinear analysis, along with design and dynamic analyses

1. Fractional-order modeling in nuclear reactors 2. Preliminaries on Fractional Calculus 3. Theory of Neutron Movement 4. Fractional-order neutron current density 5. Linear analysis of fractional point reactor kinetics 6. Fractional-order linear analysis in BWRs 7. Fractional-order non-linear analysis in BWRs 8. Fractional neutron diffusion equation in space and time 9. Anomalous diffusion exponent in nuclear reactors