Fractional neutron point kinetics equation with newtonian temperature feedback effects

G. Espinosa-Paredes; E. Del Valle Gallegos; A. Núñez-Carrera; M. A. Polo-Labarrios; E. G. Espinosa-Martínez; A. Vázquez-Rodríguez

doi:10.1016/j.pnucene.2014.01.009

Fractional neutron point kinetics equation with newtonian temperature feedback effects

G. Espinosa-Paredes, E. Del Valle Gallegos, A. Núñez-Carrera, M. A. Polo-Labarrios, E. G. Espinosa-Martínez, A. Vázquez-Rodríguez

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

In this paper we present the numerical analysis of the fractional neutron point kinetics (FNPK) equations with temperature feedback effects. The FNPK model considers a relaxation time associated with a rapid variation in the neutron flux density considered in the differential operator of fractional order known as anomalous diffusion exponent. Different values of the relaxation time with one-group delayed neutron precursor were used for this analysis. Results for neutron flux density dynamic behavior with temperature feedback for different values of anomalous diffusion exponent are shown and compared with the classical neutron point kinetics equations.

Original language	English
Pages (from-to)	96-101
Number of pages	6
Journal	Progress in Nuclear Energy
Volume	73
DOIs	https://doi.org/10.1016/j.pnucene.2014.01.009
State	Published - May 2014

Keywords

Anomalous diffusion coefficient
Fractional calculus
Fractional neutron point kinetics
Nuclear reactor dynamics
Reactivity changes
Relaxation time

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10.1016/j.pnucene.2014.01.009

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title = "Fractional neutron point kinetics equation with newtonian temperature feedback effects",

abstract = "In this paper we present the numerical analysis of the fractional neutron point kinetics (FNPK) equations with temperature feedback effects. The FNPK model considers a relaxation time associated with a rapid variation in the neutron flux density considered in the differential operator of fractional order known as anomalous diffusion exponent. Different values of the relaxation time with one-group delayed neutron precursor were used for this analysis. Results for neutron flux density dynamic behavior with temperature feedback for different values of anomalous diffusion exponent are shown and compared with the classical neutron point kinetics equations.",

keywords = "Anomalous diffusion coefficient, Fractional calculus, Fractional neutron point kinetics, Nuclear reactor dynamics, Reactivity changes, Relaxation time",

author = "G. Espinosa-Paredes and {Del Valle Gallegos}, E. and A. N{\'u}{\~n}ez-Carrera and Polo-Labarrios, {M. A.} and Espinosa-Mart{\'i}nez, {E. G.} and A. V{\'a}zquez-Rodr{\'i}guez",

year = "2014",

month = may,

doi = "10.1016/j.pnucene.2014.01.009",

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volume = "73",

pages = "96--101",

journal = "Progress in Nuclear Energy",

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TY - JOUR

T1 - Fractional neutron point kinetics equation with newtonian temperature feedback effects

AU - Espinosa-Paredes, G.

AU - Del Valle Gallegos, E.

AU - Núñez-Carrera, A.

AU - Polo-Labarrios, M. A.

AU - Espinosa-Martínez, E. G.

AU - Vázquez-Rodríguez, A.

PY - 2014/5

Y1 - 2014/5

N2 - In this paper we present the numerical analysis of the fractional neutron point kinetics (FNPK) equations with temperature feedback effects. The FNPK model considers a relaxation time associated with a rapid variation in the neutron flux density considered in the differential operator of fractional order known as anomalous diffusion exponent. Different values of the relaxation time with one-group delayed neutron precursor were used for this analysis. Results for neutron flux density dynamic behavior with temperature feedback for different values of anomalous diffusion exponent are shown and compared with the classical neutron point kinetics equations.

AB - In this paper we present the numerical analysis of the fractional neutron point kinetics (FNPK) equations with temperature feedback effects. The FNPK model considers a relaxation time associated with a rapid variation in the neutron flux density considered in the differential operator of fractional order known as anomalous diffusion exponent. Different values of the relaxation time with one-group delayed neutron precursor were used for this analysis. Results for neutron flux density dynamic behavior with temperature feedback for different values of anomalous diffusion exponent are shown and compared with the classical neutron point kinetics equations.

KW - Anomalous diffusion coefficient

KW - Fractional calculus

KW - Fractional neutron point kinetics

KW - Nuclear reactor dynamics

KW - Reactivity changes

KW - Relaxation time

UR - http://www.scopus.com/inward/record.url?scp=84893749432&partnerID=8YFLogxK

U2 - 10.1016/j.pnucene.2014.01.009

DO - 10.1016/j.pnucene.2014.01.009

M3 - Artículo

SN - 0149-1970

VL - 73

SP - 96

EP - 101

JO - Progress in Nuclear Energy

JF - Progress in Nuclear Energy

ER -

Fractional neutron point kinetics equation with newtonian temperature feedback effects

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Keywords

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