The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function

Demet Gülderen; R. Gökhan Türeci

doi:10.17776/csj.1240161

EN

The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function

Abstract

The criticality equation, which defines the relation between the secondary neutron number and the thickness of the slab, and the numerical solutions of this equation are investigated with reflecting boundary condition for the recently studied the Anlı-Güngör (AG) scattering function. The analytical calculations are performed by HN method. The numerical results are calculated with Wolfram Mathematica software for the varying secondary neutron number, the varying scattering parameter, and the varying reflection coefficient. The critical slab thickness values decrease for increasing reflection coefficient as expected.

Keywords

Legendre expansion of scattering function, Anlı-Güngör scattering function, HN method, The critical slab problem, Reflecting boundary condition.

References

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Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Demet Gülderen
0000-0001-8038-219X
Türkiye

R. Gökhan Türeci ^*
0000-0001-6309-6300
Türkiye

Publication Date

December 28, 2023

Submission Date

January 20, 2023

Acceptance Date

October 9, 2023

Published in Issue

Year 2023 Volume: 44 Number: 4

DOI

https://doi.org/10.17776/csj.1240161

IZ

https://izlik.org/JA38KT26TF

APA

Gülderen, D., & Türeci, R. G. (2023). The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function. Cumhuriyet Science Journal, 44(4), 775-784. https://doi.org/10.17776/csj.1240161

AMA

1.Gülderen D, Türeci RG. The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function. CSJ. 2023;44(4):775-784. doi:10.17776/csj.1240161

Chicago

Gülderen, Demet, and R. Gökhan Türeci. 2023. “The Slab Critical Thickness Problem With Reflecting Boundary Condition for the Anlı-Güngör Scattering Function”. Cumhuriyet Science Journal 44 (4): 775-84. https://doi.org/10.17776/csj.1240161.

EndNote

Gülderen D, Türeci RG (December 1, 2023) The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function. Cumhuriyet Science Journal 44 4 775–784.

IEEE

[1]D. Gülderen and R. G. Türeci, “The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function”, CSJ, vol. 44, no. 4, pp. 775–784, Dec. 2023, doi: 10.17776/csj.1240161.

ISNAD

Gülderen, Demet - Türeci, R. Gökhan. “The Slab Critical Thickness Problem With Reflecting Boundary Condition for the Anlı-Güngör Scattering Function”. Cumhuriyet Science Journal 44/4 (December 1, 2023): 775-784. https://doi.org/10.17776/csj.1240161.

JAMA

1.Gülderen D, Türeci RG. The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function. CSJ. 2023;44:775–784.

MLA

Gülderen, Demet, and R. Gökhan Türeci. “The Slab Critical Thickness Problem With Reflecting Boundary Condition for the Anlı-Güngör Scattering Function”. Cumhuriyet Science Journal, vol. 44, no. 4, Dec. 2023, pp. 775-84, doi:10.17776/csj.1240161.

Vancouver

1.Demet Gülderen, R. Gökhan Türeci. The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function. CSJ. 2023 Dec. 1;44(4):775-84. doi:10.17776/csj.1240161

Cited By

Monte Carlo solution of the reflected systems’ criticality problems with Anlı–Güngör, Inönü and tetra-anisotropic kernels for both fission and scattered neutrons

Pramana

https://doi.org/10.1007/s12043-024-02781-8

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