Calculation of the neutron diffusion equation by using Homotopy Perturbation Method

Journal Article · Fri Mar 25 00:00:00 EDT 2016 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4944130· OSTI ID:22590945

Ozer, O. ^[1]; Ersoy, A.; Gulecyuz, M. C. ^[2]

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1. Department of Engineering Physics, Engineering Faculty University of Gaziantep, 27310, Gaziantep (Turkey)
2. Department of Physics, Faculty of Science, Ankara University, 06100, Ankara (Turkey)

The distribution of the neutrons in a nuclear fuel element in the nuclear reactor core can be calculated by the neutron diffusion theory. It is the basic and the simplest approximation for the neutron flux function in the reactor core. In this study, the neutron flux function is obtained by the Homotopy Perturbation Method (HPM) that is a new and convenient method in recent years. One-group time-independent neutron diffusion equation is examined for the most solved geometrical reactor core of spherical, cubic and cylindrical shapes, in the frame of the HPM. It is observed that the HPM produces excellent results consistent with the existing literature.

• OSTI ID: 22590945
• Journal Information: AIP Conference Proceedings, Vol. 1722, Issue 1; Conference: BPU-9: 9. international physics conference of the Balkan Physical Union, Istanbul (Turkey), 24-27 Aug 2015; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CYLINDRICAL CONFIGURATION
FUNCTIONS
NEUTRON DIFFUSION EQUATION
NEUTRON FLUX
NEUTRONS
NUCLEAR FUELS
PERTURBATION THEORY
REACTOR CORES
REACTORS
SPHERICAL CONFIGURATION