Study of the stability of the stationary wave of nuclear fissions
Stability of the stationary wave of nuclear burning in fast reactor with uranium-plutonium fuel chain is inves-tigated. The reactor model including 1-D diffusion equation in one-group approximation for neutron flux density and kinetic equations for nuclear densities describes slow evolution of nucle...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2014-09-01
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| Series: | Ядерна фізика та енергетика |
| Subjects: | |
| Online Access: | http://jnpae.kinr.kiev.ua/15.3/Articles_PDF/jnpae-2014-15-0253-Khotyayintsev.pdf |
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| author | V. M. Khotyayintsev O. M. Khotyayintseva A. V. Aksonov V. M. Pavlovich |
| author_facet | V. M. Khotyayintsev O. M. Khotyayintseva A. V. Aksonov V. M. Pavlovich |
| author_sort | V. M. Khotyayintsev |
| collection | DOAJ |
| description | Stability of the stationary wave of nuclear burning in fast reactor with uranium-plutonium fuel chain is inves-tigated. The reactor model including 1-D diffusion equation in one-group approximation for neutron flux density and kinetic equations for nuclear densities describes slow evolution of nuclear densities followed by neutron flux. New analytical approach was proposed, which is based on the approximation of small wave velocity of the stationary wave. We obtain so-called wave velocity characteristic of the reactor which is the dependence of wave velocity to the effective absorber concentration. We show that due to instability of long-living 241Pu a turning point and lower branch of stationary solutions appear. Numerical solution of the time dependent problem proves that the solutions of the lower branch are unstable. Thus, the turning point of the velocity characteristic corre-sponds to the lower margin of possible wave velocities of nuclear fission waves of the steady shape. At the same time the solutions of the upper branch are stable with respect to slow evolution of nuclear densities. |
| format | Article |
| id | doaj-art-3c06d4a88926471184ecb6f13db761c4 |
| institution | OA Journals |
| issn | 1818-331X 2074-0565 |
| language | English |
| publishDate | 2014-09-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Ядерна фізика та енергетика |
| spelling | doaj-art-3c06d4a88926471184ecb6f13db761c42025-08-20T02:16:33ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652014-09-01153253258Study of the stability of the stationary wave of nuclear fissionsV. M. Khotyayintsev0O. M. Khotyayintseva1A. V. Aksonov2V. M. Pavlovich3Kyiv National Taras Shevchenko University, Kyiv, UkraineInstitute for Nuclear Research, National Academy of Sciences, Kyiv, UkraineKyiv National Taras Shevchenko University, Kyiv, UkraineInstitute for Nuclear Research, National Academy of Sciences, Kyiv, UkraineStability of the stationary wave of nuclear burning in fast reactor with uranium-plutonium fuel chain is inves-tigated. The reactor model including 1-D diffusion equation in one-group approximation for neutron flux density and kinetic equations for nuclear densities describes slow evolution of nuclear densities followed by neutron flux. New analytical approach was proposed, which is based on the approximation of small wave velocity of the stationary wave. We obtain so-called wave velocity characteristic of the reactor which is the dependence of wave velocity to the effective absorber concentration. We show that due to instability of long-living 241Pu a turning point and lower branch of stationary solutions appear. Numerical solution of the time dependent problem proves that the solutions of the lower branch are unstable. Thus, the turning point of the velocity characteristic corre-sponds to the lower margin of possible wave velocities of nuclear fission waves of the steady shape. At the same time the solutions of the upper branch are stable with respect to slow evolution of nuclear densities.http://jnpae.kinr.kiev.ua/15.3/Articles_PDF/jnpae-2014-15-0253-Khotyayintsev.pdfnuclear burning waveinner safetyfast reactorone-group approximation |
| spellingShingle | V. M. Khotyayintsev O. M. Khotyayintseva A. V. Aksonov V. M. Pavlovich Study of the stability of the stationary wave of nuclear fissions Ядерна фізика та енергетика nuclear burning wave inner safety fast reactor one-group approximation |
| title | Study of the stability of the stationary wave of nuclear fissions |
| title_full | Study of the stability of the stationary wave of nuclear fissions |
| title_fullStr | Study of the stability of the stationary wave of nuclear fissions |
| title_full_unstemmed | Study of the stability of the stationary wave of nuclear fissions |
| title_short | Study of the stability of the stationary wave of nuclear fissions |
| title_sort | study of the stability of the stationary wave of nuclear fissions |
| topic | nuclear burning wave inner safety fast reactor one-group approximation |
| url | http://jnpae.kinr.kiev.ua/15.3/Articles_PDF/jnpae-2014-15-0253-Khotyayintsev.pdf |
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