On an analytical solution for the two energy group neutron space-kinetic equation in heterogeneous cylindrical geometry
| Autor: | J. C. L. Fernandes, M.T. Vilhena, F.R. Oliveira, Bardo E. J. Bodmann |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Work (thermodynamics) Astrophysics::High Energy Astrophysical Phenomena 020209 energy Scalar (mathematics) 02 engineering and technology Space (mathematics) 01 natural sciences 010305 fluids & plasmas Computational physics Nuclear Energy and Engineering Neutron flux 0103 physical sciences Thermal 0202 electrical engineering electronic engineering information engineering Neutron Delayed neutron Variable (mathematics) |
| Zdroj: | Annals of Nuclear Energy. 133:216-220 |
| ISSN: | 0306-4549 |
| DOI: | 10.1016/j.anucene.2019.05.018 |
| Popis: | The present work is a continuation for the multigroup scalar neutron flux and multigroup precursor concentration model, here two energy groups and one delayed neutron precursor concentration. We determine a general solution for this problem considering cylinder geometry. The solution is determined using variable separation. The complete spectrum is analysed with respect to each variable separation and truncated such as to allow a parametrisation of the solution for the considered homogeneous problem. For a specific choice of nuclear parameter we present the three dimensional solution for the fast, the thermal angular neutron fluxes and the delayed neutron precursor concentration. Possible extensions of the model and solutions are indicated. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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