Discussion on the Separation Factor of the Gaseous Diffusion System for Binary Isotope Separation of UF6 by Direct Simulation Monte Carlo Method

Document Type : Research Article

Authors

Department of Fuel Cycle, Faculty of Nuclear Engineering, Shahid Beheshti University, Tehran, I.R. IRAN

Abstract

Aim of this research is to investigate the effect of the flow regime on separation in the gaseous diffusion system, the effect of the Knudsen number on the separation factor, and the diffusion velocity of the particles. In the current research, firstly, a brief description of the theory that governs the system will be given. Then, with the simulation of an element, the effect of the type of flow regime and Knudsen number on the variation of enrichment, the separation factors and the diffusion velocity of the light and heavy components inside the pores are investigated. Results are compared by theoretical equations. It is also should mentioning that two light and heavy isotopes of UF6 gas have been used for separation by gaseous diffusion method. The results will show; separation does not occur in the continuous flow regime, and separation will be occurring only in the molecular and transient flow regime. Also, with the increment of the Knudsen number, the amount of changes in the enrichment in different parts of the system will increase compared to the incoming gas. In other words, with the increment of Knudsen number, more separation is formed and the separation factor of the system increases. For instance, for a Knudsen number of 0.1, the separation factor is equal to 1.00101, and for a Knudsen number of 0.8, this value will increase to 1.00333. Finally, the diffusion velocity of the particles inside the pores, which is criteria of the effective separation of the particles, has been investigated. The results show that the diffusion velocity of particles for the light component is higher than heavy component, and this is due to the higher intensity of the particles of the light component passing through the pores.

Keywords

Main Subjects


[1] Mindess S., “Resistance of Concrete to Destructive Agencies”, Lea’s Chemistry of Cement and Concrete (Fifth Edition), 251-283, (2019).
[2] Choppin G.R., Liljenzin J.-O., Rydberg J., “Nuclei, Isotopes and Isotope Separation”, Radiochemistry and Nuclear Chemistry (Third Edition), 11-40 (2002).
[3] Avery D.G., Davies E., Uranium Enrichment by Gas Centrifuge, Mills and Boon Ltd, (1973).
[4] Krass A.S.., Boskma P., Elzen B., Smit W.A., “Uranium Enrichment and Nuclear Weapon Proliferation”, Routledge, Taylor & Francis Ltd, London and New York. (2020).
[5] Zito P.F., Caravella A., Brunetti A., Drioli E., Barbieri G., Knudsen and Surface Diffusion Competing for Gas Permeation Inside Silicalite Membranes, Journal of Membrane Science Volume, 523: 456-469 (2017).
[6] Krishna R., The Maxwell–Stefan Description of Mixture Permeation Across Nanoporous Graphene Membranes, Chemical Engineering Research and Design, 133: 316-325 (2018).
[7] Zhang D., Wang H, Li C, Meng H, Modeling of Purge-Gas Recovery using Membrane Separation, Chemical Engineering Research and Design, 125: 361-366 (2017).
[8] Darbandi M., Roohi E., Study of Subsonic–Supersonic Gas flow through Micro/Nanoscale Nozzles using Unstructured DSMC Solver, Microfluid. Nanofluid., 10(2): 321-335 (2011).
[9] Veltzke, T., M. Baune, J. Thöming, The Contribution of Diffusion to Gas Microflow: An Experimental Study, Physics of Fluids, 24(8): 082004 (2012).    
[10] Wang M., Li Z., Simulations for Gas Flows in Microgeometries using the Direct Simulation Monte Carlo Method, International Journal of Heat and Fluid Flow, 25(6): 975-985 (2004).
[11] Masir M.A., Aghaie M., Alahyarizadeh G.h., Simulation of Separative Gaseous Molecular Flow through Porous Membrane with DSMC Method, Progress in Nuclear Energy, 118: 103150 (2020).
[12] Bird G.A., “The DSMC Method”, CreateSpace Independent Publishing Platform, (2013).
[13] Benedict M., “Nuclear Chemical Engineering”, McCraw-Hill, (1957).
[14] Villani, S., “Uranium Enrichment”, Springer Berlin Heidelberg, (1979).
[15] Ohta T., “Direct Thermal Decomposition of Water”, Solar-Hydrogen Energy Systems an Authoritative Review of Water-Splitting Systems by Solar Beam and Solar Heat: Hydrogen Production, Storage and Utilisation”, Elsevier, 59-79 (1979).
[16] Seader J.D., Henley E.J., “Separation Process Principles”, John Wiley & Sons, Inc (1998).
[17] Ragheb, m., isotope Separation and Enrichment, Chapter 10, (2018).
[18] Hashemipour N., Karimi Sabet J., Motahari K., Mahruz Monfared S., Amini Y., Moosaviane M.A., Numerical Study of N-Heptane/Benzene Separation by Thermal Diffusion Column, Chinese Journal of Chemical Engineering, 27(8): 1745-1755 (2018).
[19] Wilks J., “Uranium Conversion and Enrichment”, Nuclear Fuel Cycle Science and Engineering 1st Edition, Woodhead Publishing, 151-176 (2012).