Fractional-Order Models for Nuclear Reactor Analysis presents fractional modelling issues in the context of anomalous diffusion processes in an accessible and practical way. It emphasises the importance of non-Fickian diffusion in heterogeneous systems as is the core of the nuclear reactor, as well as the 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. The book analyses core issues in fractional modelling in nuclear reactors regarding phenomenological description, as well as important analytical sub-diffusive process in the transport neutron. The book presents the fractional models in terms of fractional differential equations to describe the behaviour of the reactor which are developed from basic and fundamental principles, starting from the transport theory and P1 approximation, to fractional laws of the current vector. Author Gilberto Espinosa Paredes presents the most innovative modelling 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 centres with expertise in mathematical modelling, physics and control. Presents and analyses a new paradigm of nuclear reactor phenomena with fractional modellingConsiders principles of fractional calculation, methods of solving differential equations of fractional order and their applicationsIncludes methodologies of linear and nonlinear analysis, in addition to design and dynamic analysis INDICE: 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
- ISBN: 978-0-12-823665-9
- Editorial: Woodhead Publishing
- Encuadernacion: Rústica
- Páginas: 250
- Fecha Publicación: 01/10/2020
- Nº Volúmenes: 1
- Idioma: Inglés