Abstract
Solution of the neutron transport equation in one dimensional slab geometry construct a basis for the solution of neutron transport equation in a curvilinear geometry. Therefore, in this work, we attempt to derive an exact analytical benchmark solution for both neutron transport equations in slab and spherical medium by using PN approximation which is widely used in neutron transport theory.
Kurzfassung
Die Lösung der Neutronentransportgleichung in eindimensionaler Plattengeometrie bildet die Grundlage für die Lösung der Neutronentransportgleichung in kurvenförmiger Geometrie. Deshalb wird in dem vorliegenden Beitrag eine exakte analytische Benchmark-Lösung sowohl für die Neutronentransportgleichung in eindimensionaler Plattengeometrie wie auch in einem kugelförmigen Medium mit Hilfe der in der Neutronentheorie häufig verwendeten PN-Approximation abgeleitet.
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