Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method

Mohammed Shqair, Ahmad El-Ajou and Mazen Nairat
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Mohammed Shqair: Physics Department, Faculty of Science and Humanities, Prince Sattam bin Abdulaziz University, 11942 Al-kharj, Saudi Arabia
Ahmad El-Ajou: Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, Jordan
Mazen Nairat: Department of Physics, Faculty of Science, Al Balqa Applied University, Salt 19117, Jordan

Mathematics, 2019, vol. 7, issue 7, 1-20

Abstract: In this paper, a multi-energy groups of a neutron diffusion equations system is analytically solved by a residual power series method. The solution is generalized to consider three different geometries: slab, cylinder and sphere. Diffusion of two and four energy groups of neutrons is specifically analyzed through numerical calculation at certain boundary conditions. This study revels sufficient analytical description for radial flux distribution of multi-energy groups of neutron diffusion theory as well as determination of each nuclear reactor dimension in criticality case. The generated results are compatible with other different methods data. The generated results are practically efficient for neutron reactors dimension.

Keywords: multi-group; diffusion equation; residual power series; radial flux (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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