Research Article

CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING

Volume: 3 Number: 2 December 31, 2020
Halide Koklu *, Okan Ozer
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CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING

Abstract

Critical thickness for one-group energy neutrons are determined for the triplet anisotropic-scattering in plane geometry by using Legendre polynomials of PN method, and Chebyshev polynomials of first type, TN method. Triplet anisotropic scattering is the fourth term of the scattering function. The neutron flux moments in the neutron transport equation comprises the eigenfunction of the neutron flux. By solving the eigenfunctions, the eigenvalues are obtained from Chebyshev polynomial solution. The resultant neutron flux equation composes of the eigenfunction, Chebyshev polynomial term and the number of secondary neutrons “c”. The solution of the eigenvalues gives imaginary root for c is smaller than one. So in this study we study with bigger than one c values. The critical size of the system is found by the Mark boundary condition. The critical size is calculated for different scattering types. The relations are presented in the following tables. It is seen that our results are compatible with the existing literature.

Keywords

Critical Thickness,Slab Reactor

Thanks

The manuscript was presented in TICMET19 conference.

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Okan Ozer
Türkiye

Publication Date

December 31, 2020

Submission Date

March 27, 2020

Acceptance Date

November 3, 2020

Published in Issue

Year 2020 Volume: 3 Number: 2

IZ

https://izlik.org/JA75KD64AL

Cite

RIS / Bibtex
APA
Koklu, H., & Ozer, O. (2020). CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING. The International Journal of Materials and Engineering Technology, 3(2), 98-108. https://izlik.org/JA75KD64AL
AMA
1.Koklu H, Ozer O. CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING. TIJMET. 2020;3(2):98-108. https://izlik.org/JA75KD64AL
Chicago
Koklu, Halide, and Okan Ozer. 2020. “CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING”. The International Journal of Materials and Engineering Technology 3 (2): 98-108. https://izlik.org/JA75KD64AL.
EndNote
Koklu H, Ozer O (December 1, 2020) CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING. The International Journal of Materials and Engineering Technology 3 2 98–108.
IEEE
[1]H. Koklu and O. Ozer, “CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING”, TIJMET, vol. 3, no. 2, pp. 98–108, Dec. 2020, [Online]. Available: https://izlik.org/JA75KD64AL
ISNAD
Koklu, Halide - Ozer, Okan. “CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING”. The International Journal of Materials and Engineering Technology 3/2 (December 1, 2020): 98-108. https://izlik.org/JA75KD64AL.
JAMA
1.Koklu H, Ozer O. CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING. TIJMET. 2020;3:98–108.
MLA
Koklu, Halide, and Okan Ozer. “CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING”. The International Journal of Materials and Engineering Technology, vol. 3, no. 2, Dec. 2020, pp. 98-108, https://izlik.org/JA75KD64AL.
Vancouver
1.Halide Koklu, Okan Ozer. CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING. TIJMET [Internet]. 2020 Dec. 1;3(2):98-108. Available from: https://izlik.org/JA75KD64AL

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