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Título del libro: Pbnc 2018 - Pacific Basin Nuclear Conference
Título del capítulo: Time-space fractional neutron point kinetics with temperature feedback effects

Autores UNAM:
JUAN LUIS FRANCOIS LACOUTURE; CECILIA MARTIN DEL CAMPO MARQUEZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
2019
Palabras clave:

Calculations; Dynamical systems; Kinetics; Nuclear fuels; Nuclear power plants; Fractional calculus; Fractional derivatives; Hereditary property; Heterogeneous medium; Neutron transport; Nuclear technology; Point-kinetics models; Temperature feedback; Neutrons


Resumen:

The classical neutron point kinetics model is presented as positive integer Partial Differential Equations. Fractional Calculus (FC) has been studied since 1695 and it has been applied in several areas; in nuclear technology during the last decade. These fractional derivatives provide exceptional description of memory and hereditary properties of processes such as, diffusion; compared to classical models where these properties are neglected, especially in dynamical systems. The paradigm of having a simple mathematical model that can predict energy and neutron transport in a highly absorbent and heterogeneous medium, such as in a Nuclear Power Plant core, could be solved with FC. A numerical analysis applying a Time-Space Fractional Neutron Point Kinetics model with temperature feedback effects is presented in order to describe the neutron and energy transport. The present approach has to be further studied and compared with other data to comprehend the real extent of this novelty model. © 2018 PBNC 2018 - Pacific Basin Nuclear Conference.All Rights Reserved.


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