Comparison of the Fluidized State Stability from Radioactive Particle Tracking Results
Abstract
:1. Introduction
2. Materials and Methods
2.1. The Radioactive Particle Tracking Technique
2.2. Liquid–Solid Fluidized Bed (LSFB) Operational Parameters
2.3. Gas–Liquid–Solid Fluidized Bed (GLSFB) Operational Parameters
3. Shannon Entropy and Mixing Behavior
4. Mixing and Stability Assessment Based on Information Geometry
4.1. Mixing Times and Entropy Production
4.2. Glansdorff–Prigogine Criterion Based on the Fisher Information
- If the Glandsdorff–Prigogine stability measure sign is positive, the Fisher information diverges, so the entropy also diverges rapidly; thus, the system is unstable.
- If the Glandsdorff–Prigogine stability measure sign is negative, the Fisher information will decay to zero; thus, the Shannon entropy reaches a state where it does not change over time, making the system stable.
- A Glandsdorff–Prigogine stability measure tending to zero means that the system is either stable (e.g., fixed bed) or metastable, in which cases could be used to set operating window limits.
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Salierno, G.; Gradišek, A.; Maestri, M.; Picabea, J.; Cassanello, M.; De Blasio, C.; Cardona, M.A.; Hojman, D.; Somacal, H. Comparison of the Fluidized State Stability from Radioactive Particle Tracking Results. ChemEngineering 2021, 5, 65. https://doi.org/10.3390/chemengineering5040065
Salierno G, Gradišek A, Maestri M, Picabea J, Cassanello M, De Blasio C, Cardona MA, Hojman D, Somacal H. Comparison of the Fluidized State Stability from Radioactive Particle Tracking Results. ChemEngineering. 2021; 5(4):65. https://doi.org/10.3390/chemengineering5040065
Chicago/Turabian StyleSalierno, Gabriel, Anton Gradišek, Mauricio Maestri, Julia Picabea, Miryan Cassanello, Cataldo De Blasio, María Angélica Cardona, Daniel Hojman, and Héctor Somacal. 2021. "Comparison of the Fluidized State Stability from Radioactive Particle Tracking Results" ChemEngineering 5, no. 4: 65. https://doi.org/10.3390/chemengineering5040065