An Approximation to the Solution of the Transport Equation and Calculation of Diffusion Lengths in Multiplying Media.

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Title: An Approximation to the Solution of the Transport Equation and Calculation of Diffusion Lengths in Multiplying Media.
Authors: Yaşa, Faruk1 (AUTHOR) fyasa@ksu.edu.tr
Source: Journal of Computational & Theoretical Transport. 2026, Vol. 55 Issue 2, p190-199. 10p.
Subjects: Transport equation, Neutron diffusion, Scattering (Physics), Nuclear fuels, Legendre's polynomials, Nuclear fission, Neutron scattering
Abstract: Various anisotropic scattering kernels are presented to solve the transport equation in multiplying media, and calculations are also performed for the isotropic scattering case and the non-multiplying medium to enable a meaningful comparison. Henyey–Greenstein-like scattering kernel is employed to model anisotropic scattering of neutrons. The effect of anisotropic scattering on the diffusion length of a multiplying slab is investigated using the Legendre polynomial expansion method. A comprehensive numerical analysis of diffusion lengths was performed to represent the fuel system in a nuclear reactor. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational & Theoretical Transport is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 193490151
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  Data: An Approximation to the Solution of the Transport Equation and Calculation of Diffusion Lengths in Multiplying Media.
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  Data: <searchLink fieldCode="AR" term="%22Yaşa%2C+Faruk%22">Yaşa, Faruk</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fyasa@ksu.edu.tr</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Theoretical+Transport%22">Journal of Computational & Theoretical Transport</searchLink>. 2026, Vol. 55 Issue 2, p190-199. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Transport+equation%22">Transport equation</searchLink><br /><searchLink fieldCode="DE" term="%22Neutron+diffusion%22">Neutron diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Nuclear+fuels%22">Nuclear fuels</searchLink><br /><searchLink fieldCode="DE" term="%22Legendre's+polynomials%22">Legendre's polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Nuclear+fission%22">Nuclear fission</searchLink><br /><searchLink fieldCode="DE" term="%22Neutron+scattering%22">Neutron scattering</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Various anisotropic scattering kernels are presented to solve the transport equation in multiplying media, and calculations are also performed for the isotropic scattering case and the non-multiplying medium to enable a meaningful comparison. Henyey–Greenstein-like scattering kernel is employed to model anisotropic scattering of neutrons. The effect of anisotropic scattering on the diffusion length of a multiplying slab is investigated using the Legendre polynomial expansion method. A comprehensive numerical analysis of diffusion lengths was performed to represent the fuel system in a nuclear reactor. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational & Theoretical Transport is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/23324309.2026.2622949
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 190
    Subjects:
      – SubjectFull: Transport equation
        Type: general
      – SubjectFull: Neutron diffusion
        Type: general
      – SubjectFull: Scattering (Physics)
        Type: general
      – SubjectFull: Nuclear fuels
        Type: general
      – SubjectFull: Legendre's polynomials
        Type: general
      – SubjectFull: Nuclear fission
        Type: general
      – SubjectFull: Neutron scattering
        Type: general
    Titles:
      – TitleFull: An Approximation to the Solution of the Transport Equation and Calculation of Diffusion Lengths in Multiplying Media.
        Type: main
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          Name:
            NameFull: Yaşa, Faruk
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          Dates:
            – D: 01
              M: 03
              Text: 2026
              Type: published
              Y: 2026
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            – TitleFull: Journal of Computational & Theoretical Transport
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