Exact solution of the neutron transport equation in spherical geometry-Reference-Cited by-同舟云学术

Exact solution of the neutron transport equation in spherical geometry

Published:2017-03-16 Issue:1 Volume:82 Page:132-135
ISSN:2195-8580
Container-title:Kerntechnik
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Author:

Anlı F.¹,Akkurt A.²,Yıldırım H.³,Ateş K.⁴

Affiliation:

1. 1Kahramanmaraş Sütçü İmam University, Faculty of Sciences and Letters, Department of Physics, Kahramanmaraş/Turkey

2. 2Kahramanmaraş Sütçü İmam University, Faculty of Sciences and Letters, Department of Mathematics, Kahramanmaraş/Turkey, E-mail: abdullahmat@gmail.com

3. 3Kahramanmaraş Sütçü İmam University, Faculty of Sciences and Letters, Department of Mathematics, Kahramanmaraş/Turkey, E-mail: hyildir@ksu.edu.tr

4. 4Kahramanmaraş Sütçü İmam University, Faculty of Sciences and Letters, Department of Physics, Kahramanmaraş/Turkey, E-mail: kemalates_46@hotmail.com

Abstract

AbstractSolution of the neutron transport equation in one dimensional slab geometry construct a basis for the solution of neutron transport equation in a curvilinear geometry. Therefore, in this work, we attempt to derive an exact analytical benchmark solution for both neutron transport equations in slab and spherical medium by using PN approximation which is widely used in neutron transport theory.

Publisher

Walter de Gruyter GmbH

Subject

Safety, Risk, Reliability and Quality,General Materials Science,Nuclear Energy and Engineering,Nuclear and High Energy Physics,Radiation

Link

https://www.degruyter.com/document/doi/10.3139/124.110617/pdf

Reference10 articles.

1. On series containing products of Legendre polynomials

2. ThePNTheory as an Asymptotic Limit of Transport Theory in Planar Geometry —I: Analysis

3. Analytical solutions to the moment transport equations—I

4. Special Functions