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首页> 外文期刊>Annals of nuclear energy >Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics
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Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics

机译：核反应堆动力学的分数空间中子点动力学（F-SNPK）方程

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The aim of this paper is the mathematical derivation, and numerical analysis of the fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics. The classic neutron point kinetics (CNPK) equations are one of the most important models of reduced order in nuclear engineering, that been the subject of countless studies and applications to understand the reactor dynamics and its effects. The F-SNPK derived in this work is an extended model respect to CNPK. The F-SNPK model was derived considering a fractional-space law for the neutron density current where the differential operator is the fractional order (FO), also known as anomalous diffusion exponent. The physical meaning is related with non-Fickian effects (anomalous diffusion), which in F-SNPK gives rise to a new term called in this work anomalous diffusion source that considers neutron leakage, and it depends on the geometric buckling and anomalous diffusion exponent. The numerical analysis shows that the neutron leakage is greater with decreasing anomalous diffusion exponent. (C) 2016 Elsevier Ltd. All rights reserved.
机译：本文的目的是对核反应堆动力学的分数空间中子点动力学（F-SNPK）方程进行数学推导和数值分析。经典中子点动力学（CNPK）方程是核工程中最重要的降阶模型之一，是了解反应堆动力学及其作用的无数研究和应用的主题。在这项工作中得出的F-SNPK是关于CNPK的扩展模型。 F-SNPK模型是在考虑微分算子为分数阶（FO）（也称为反常扩散指数）的中子密度电流的分数空间定律的基础上得出的。物理意义与非菲克效应（异常扩散）有关，在F-SNPK中产生了一个新术语，称为“工作中的异常扩散源”，该异常源考虑了中子泄漏，它取决于几何屈曲和异常扩散指数。数值分析表明，中子泄漏随反常扩散指数的减小而增大。 （C）2016 Elsevier Ltd.保留所有权利。

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