Issue |
EPJ Web Conf.
Volume 317, 2025
6th International ATALANTE Conference on Nuclear Chemistry for Sustainable Fuel Cycles (ATALANTE-2024)
|
|
---|---|---|
Article Number | 01010 | |
Number of page(s) | 6 | |
DOI | https://doi.org/10.1051/epjconf/202531701010 | |
Published online | 31 January 2025 |
https://doi.org/10.1051/epjconf/202531701010
Population Balance Solution Using Fixed Point Convergence Acceleration for Steady-State Reactor Networks
1 CEA, DES, ISEC, DMRC, Université Montpellier, Marcoule, France
2 Université Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007, Villeurbanne, France
3 CEA, DES, IRESNE, DEC, F-13108 Saint-Paul Lez Durance, France
* Corresponding author
Published online: 31 January 2025
The simulation of industrial crystallizers needs the implementation of multi-compartment models to handle the spatial heterogeneities at lower cost. In this context the study of recycle streams appears as an intermediate step to solve complex reactor networks. In this work, an accelerated fixed-point algorithm is applied to the solution of the crystal size distribution and the liquid phase composition in a structure including two compartments and one recycle stream. The numerical strategy, including fixed-point formulation, acceleration method, initial condition and convergence criteria, is introduced. One of the strengths of the proposed algorithm is that it does not depend on the numerical method used to solve the population balance equation in each compartment. As a case study, the numerical method is performed on the uranium oxalic precipitation. Thanks to this approach, local values of crystallisation kinetics, mass transfer and crystal size distribution are obtained. The evolution of the actinide concentration and the average crystal size follow the theory of the crystallisation mechanisms. Finally, the very satisfactory numerical performances open the way to simulate more complex and demanding reactor network structures.
© The Authors, published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.