Sommario
Si presenta un'applicazione della equazione lineare integrale di Boltzmann per determinare la distribuzione del flusso totale stazionario per neutroni monoenergetici in un reattore parallelepipedo riflesso totalmente, dove sia il nocciolo sia il riflettore sono fatti di materiali diffondenti e moltiplicanti isotropicamente. Le proprietà generali della soluzione per il flusso totale sono discusse nel contesto di una teoria di equazioni integrali lineari nello spazio di Lebesgue Lp. Una versione pratica della soluzione valida in tutto il reattore è proposta in termini di una espansione polinomiale.
Summary
An application of the linear integral Boltzmann equation for determining the stationary total flux distribution for monoenergetic neutrons in a totally reflected parallelepiped reactor — where both core and reflector are made by isotropically scattering and multiplying materials — is here presented. The general properties of the solution for the total flux are discussed in the context of the theory of linear integral equations in a Le-besgue space Lp. A practical version of the solution, holding in the whole reactor, is proposed in terms of a polynomials expansion.
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Prelati, G.P., Spiga, G. Transport theory of a totally reflected parallelepiped reactor. Meccanica 10, 128–134 (1975). https://doi.org/10.1007/BF02314751
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DOI: https://doi.org/10.1007/BF02314751