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 -