Development of a Trajectory Period Folding Method for Burnup Calculations
In this paper, we present a trajectory period folding method for numerical modelling of nuclear transformations. The method uses the linear chain method, commonly applied for modelling of isotopic changes in matter. The developed method folds two consecutive periods of time and forms linear chain re...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/6/2245 |
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| author | Przemysław Stanisz Mikołaj Oettingen Jerzy Cetnar |
| author_facet | Przemysław Stanisz Mikołaj Oettingen Jerzy Cetnar |
| author_sort | Przemysław Stanisz |
| collection | DOAJ |
| description | In this paper, we present a trajectory period folding method for numerical modelling of nuclear transformations. The method uses the linear chain method, commonly applied for modelling of isotopic changes in matter. The developed method folds two consecutive periods of time and forms linear chain representations. In the same way as in the linear chain method, the mass flow of straight nuclide-to-nuclide transitions following the formation of nuclide transmutation chains in every step is considered over the total period of interest. Therefore, all quantitative data about the isotopic transformations for the period beyond a particular calculation step are preserved. Moreover, it is possible to investigate the formation history of any isotope from the beginning of irradiation to the arbitrary time step, including cooling periods and multi-recycling for any designed nuclear fuel cycle. We present a case study for the transition from <sup>238</sup>U to <sup>239</sup>Pu and define the properties of the developed method and its possible applications in reactor physics calculations. |
| first_indexed | 2024-03-09T19:52:53Z |
| format | Article |
| id | doaj.art-26e4eff6ce5449ca90f73db531d408e6 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T19:52:53Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-26e4eff6ce5449ca90f73db531d408e62023-11-24T01:05:50ZengMDPI AGEnergies1996-10732022-03-01156224510.3390/en15062245Development of a Trajectory Period Folding Method for Burnup CalculationsPrzemysław Stanisz0Mikołaj Oettingen1Jerzy Cetnar2Faculty of Energy and Fuels, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, PolandFaculty of Energy and Fuels, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, PolandFaculty of Energy and Fuels, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, PolandIn this paper, we present a trajectory period folding method for numerical modelling of nuclear transformations. The method uses the linear chain method, commonly applied for modelling of isotopic changes in matter. The developed method folds two consecutive periods of time and forms linear chain representations. In the same way as in the linear chain method, the mass flow of straight nuclide-to-nuclide transitions following the formation of nuclide transmutation chains in every step is considered over the total period of interest. Therefore, all quantitative data about the isotopic transformations for the period beyond a particular calculation step are preserved. Moreover, it is possible to investigate the formation history of any isotope from the beginning of irradiation to the arbitrary time step, including cooling periods and multi-recycling for any designed nuclear fuel cycle. We present a case study for the transition from <sup>238</sup>U to <sup>239</sup>Pu and define the properties of the developed method and its possible applications in reactor physics calculations.https://www.mdpi.com/1996-1073/15/6/2245burnuplinear chaintransmutationtransformationMCBperiod folding |
| spellingShingle | Przemysław Stanisz Mikołaj Oettingen Jerzy Cetnar Development of a Trajectory Period Folding Method for Burnup Calculations Energies burnup linear chain transmutation transformation MCB period folding |
| title | Development of a Trajectory Period Folding Method for Burnup Calculations |
| title_full | Development of a Trajectory Period Folding Method for Burnup Calculations |
| title_fullStr | Development of a Trajectory Period Folding Method for Burnup Calculations |
| title_full_unstemmed | Development of a Trajectory Period Folding Method for Burnup Calculations |
| title_short | Development of a Trajectory Period Folding Method for Burnup Calculations |
| title_sort | development of a trajectory period folding method for burnup calculations |
| topic | burnup linear chain transmutation transformation MCB period folding |
| url | https://www.mdpi.com/1996-1073/15/6/2245 |
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