An analytical solution for the time-dependent SN transport equation in a slab-Reference-Cited by-同舟云学术

An analytical solution for the time-dependent SN transport equation in a slab

Published:2008-09-01 Issue:4 Volume:73 Page:176-178
ISSN:2195-8580
Container-title:Kerntechnik
language:en
Short-container-title:

Author:

Segatto C. F.¹¹²³,Vilhena M. T.¹⁴²⁵,Gonçalez T. T.¹²⁵

Affiliation:

1. Programa de Pós-Graduaçâo em Engenharia Mecânica (PROMEC), Sarmento Leite, 425/314, CEP: 90050-170

2. Universidade Federal do Rio Grande do Sul, Porto Alegre, RS Brasil

3. (E-mail: )

4. Programa de Pós-Graduaçâo em Matemática

5. ( )

Abstract

Abstract In this work an analytical solution for the time-dependent SN transport equation in a slab using the double Laplace transform technique is reported. This procedure leads to an analytical solution for the angular flux in integral form. Numerical simulations are presented and compared with results in the literature.

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/10.3139/124.100561/pdf

Reference18 articles.

1. Time-dependence surface angular flux for a semi-infinite medium with specular reflection;Nucl. Sci. Eng.,1982

2. Solution of the one-group time-dependent neutron-transport equation in an infinite medium by polynomial reconstruetion;Nucl. Sci. Eng.,1986

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the solution of the S N multigroup kinetics equations in multilayer slabs;Annals of Nuclear Energy;2017-06

2. On multi-group neutron transport in planar one dimensional geometry: A solution for a localized pulsed source;Annals of Nuclear Energy;2017-03

3. A Genuine Analytical Solution for the SN Multi-group Neutron Equation in Planar Geometry;Integral Methods in Science and Engineering;2013

4. An analytical solution for the one-dimensional time-dependent S N transport equation for bounded and unbounded domains in cartesian geometry;Kerntechnik;2010-03-01