Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2018, Vol. 29 ›› Issue (3): 37 doi: 10.1007/s41365-018-0380-6

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Alternative scattering kernels for the first estimates of a reactor: diffusion length

Hakan Öztürk, Ayça Şimşek Yapar   

  1. Department of Physics, Faculty of Arts and Sciences, Osmaniye Korkut Ata University, 80000 Osmaniye, Turkey
  • Contact: Hakan Öztürk
  • Supported by:

    This study was supported by the Academic Research Projects Unit of Osmaniye Korkut Ata University (No. OKU¨ BAP-2014-PT3-019).

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Hakan Öztürk, Ayça Şimşek Yapar. Alternative scattering kernels for the first estimates of a reactor: diffusion length.Nuclear Science and Techniques, 2018, 29(3): 37     doi: 10.1007/s41365-018-0380-6


Diffusion-length calculations of neutrons are performed using the Chebyshev polynomials of the second kind. The neutrons are assumed to move with constant energy in a uniform homogeneous slab. An alternative scattering kernel called an Anlı–Güngör phase function and a traditional Henyey–Greenstein phase function are used for the scattering function in the stationary neutron transport equation. First, analytic expressions and then numerical results are obtained for the diffusion length for various values of the scattering and cross-sectional parameters. Numerical results obtained from both scattering kernels for the diffusion length of the neutrons are given in tables side by side for comparison. The applicability of the method is easily demonstrated by these results.

Key words: Scattering kernel, Diffusion length, Chebyshev polynomials, Transport equation