A toy model for determining the critical size condition in fission chain reaction

Authors

  • O. Ozer University of Gaziantep
  • W. A. Sheekhoo Mosul University
  • G. Sayın Peter Great St Petersburg Polytechnic Univ.

DOI:

https://doi.org/10.31349/RevMexFisE.22.010213

Keywords:

Applications of Monte Carlo methods; neutron transport: diffusion and moderation; nuclear fission power

Abstract

The geometric Buckling in the analytical solutions of the steady-state one group neutron diffusion equation are used to compare with numerical results of the Monte Carlo Method in the determination of the size condition yielding the minimum critical mass in three basic geometries. The survival fraction value, ƒs (which is also called as the multiplication factor, k) is calculated for the criticality condition in these geometries and the results are tabulated for each one. Our numerical results by Monte Carlo Method show that the minimum critical mass is obtained in the case of spherical shape of fuel element, and they are in agreement with those of analytical solutions.

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Published

2025-01-01

How to Cite

[1]
O. OZER, W. A. Sheekhoo, and G. Sayın, “A toy model for determining the critical size condition in fission chain reaction”, Rev. Mex. Fis. E, vol. 22, no. 1 Jan-Jun, pp. 010213 1–, Jan. 2025.

Issue

Vol. 22 No. 1 Jan-Jun (2025): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2025 O. Ozer, W. A. Sheekhoo, G. Sayın

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