Investigation of Cut Control Equations in the Gas Centrifuge Cascades

Norouzi, Ali; Khajenoori, Masoud; Safdari, Jaber; Yousefi-Nasab, Sadegh; Mallah, Mohammad Hassan; Karimi Sabet, Javad

doi:10.24200/nep.2021.1005

Document Type : Research paper

Authors

¹ Iran Advanced Technologies Company, Atomic Energy Organization of Iran, Tehran, Iran.

² Materials and Nuclear Fuel Research School, Nuclear Science and Technology Research Institute, Tehran, Iran.

https://doi.org/10.24200/nep.2021.1005

Abstract

Stage cut control and simulation are the most important aspects in the optimum binary mixture or multi-component multiobjective cascades. Numerical investigation revealed that by controlling the cut of a separation cascade, defined as the ratio of the product rate to the feed rate, it is always possible to separate a multi-component mixture into two specified groups of components, a light group, and a heavy group, in just one separation run. In this paper, the equations related to the cut control are introduced and it is proposed that for controlling stage cuts, putting one valve in the product section of each stage is enough. By solving the set of non-linear equations related to the machine behavior, valve, and pressure drop in the pipelines and junctions, the valve setting for each stage can be obtained. In the end, some examples of an optimal cascade are studied and valve setting parameters are obtained.

Keywords

References

1. Norouzi, A.et al, (2011).Parameters optimization of a countercurrent cascade based on using a real coded algorithm. Sep. Sci. Technol., 46: 2223.

2. Borisevich, V.D.; Borshchevskiy, M.A.; Zeng, S.; Jiang, D. (2014) On ideal and optimum cascades of gas centrifuges with variable overall separation factors. Chemical Engineering Science, 116 (6): 465.

3. Palkin, V.A. (1998) Determination of the optimal parameters of a cascade of gas centrifuges. Atomic Energy, 84 (3): 190.

4. Zeng S.; Ying CH. (2000) A Method of Separating a Middle Component in Multicomponent Isotope Mixtures by Gas Centrifuge Cascades Sep. Sci. Technol., 35(14): 2173.

5. Palkin, V. A. (1997) Optimization of a cascade with arbitrarily prescribed separation factors of the steps, Atomic energy, 82(4): 295.

6. Palkin, V. A.; Igoshin, S. (2012) Determination of the optimal parameters of a gas centrifuge cascade with an arbitrary stage connection scheme, Atomic Energy, 112 (1): 47.

7. Cohen, K. (1952) The Theory of Isotope Separation, McGraw-Hill, N.Y.

8. Andrade, M. C., Nascimento, C. A., Migliavacca, S. C. (2005). Detection of outliers in a gas centrifuge experimental data. Braz. J. of Chem.Eng.,22 (03): 389-400.

9. Migliavacca, S.C.P.; Rodrigues, C.; Nascimento, C.A.O. (2002) Analysis and optimization of gas centrifugal separation of uranium isotopes by neural networks, Braz. J. of Chem.Eng. 19 (3): 299.

10. Ezazi, F., et al (2020). A new method for multicomponent mixture separation cascade optimization using artificial bee colony algorithm. Progress in Nuclear Energy, 124, 103371.‏

11. Imani, M., et al. (2020). Investigation on the effect of holdup and cascade shape in NFSW cascades. Progress in Nuclear Energy, 119, 103182.‏

12. Malik, M. N.; Afzal, M.; Tariq, G. F. (1998) Mathematical modeling and computer simulation of transient flow in Centrifuge Cascade pipe network with Optimizing, Computers Math. Applic., 36(4): 63.

Journal of Nuclear Research and Applications

Investigation of Cut Control Equations in the Gas Centrifuge Cascades

References

References

1. Norouzi, A.et al, (2011).Parameters optimization of a countercurrent cascade based on using a real coded algorithm. Sep. Sci. Technol., 46: 2223.

2. Borisevich, V.D.; Borshchevskiy, M.A.; Zeng, S.; Jiang, D. (2014) On ideal and optimum cascades of gas centrifuges with variable overall separation factors. Chemical Engineering Science, 116 (6): 465.

3. Palkin, V.A. (1998) Determination of the optimal parameters of a cascade of gas centrifuges. Atomic Energy, 84 (3): 190.

4. Zeng S.; Ying CH. (2000) A Method of Separating a Middle Component in Multicomponent Isotope Mixtures by Gas Centrifuge Cascades Sep. Sci. Technol., 35(14): 2173.

5. Palkin, V. A. (1997) Optimization of a cascade with arbitrarily prescribed separation factors of the steps, Atomic energy, 82(4): 295.

6. Palkin, V. A.; Igoshin, S. (2012) Determination of the optimal parameters of a gas centrifuge cascade with an arbitrary stage connection scheme, Atomic Energy, 112 (1): 47.

7. Cohen, K. (1952) The Theory of Isotope Separation, McGraw-Hill, N.Y.

8. Andrade, M. C., Nascimento, C. A., Migliavacca, S. C. (2005). Detection of outliers in a gas centrifuge experimental data. Braz. J. of Chem.Eng.,22 (03): 389-400.

9. Migliavacca, S.C.P.; Rodrigues, C.; Nascimento, C.A.O. (2002) Analysis and optimization of gas centrifugal separation of uranium isotopes by neural networks, Braz. J. of Chem.Eng. 19 (3): 299.

10. Ezazi, F., et al (2020). A new method for multicomponent mixture separation cascade optimization using artificial bee colony algorithm. Progress in Nuclear Energy, 124, 103371.‏

11. Imani, M., et al. (2020). Investigation on the effect of holdup and cascade shape in NFSW cascades. Progress in Nuclear Energy, 119, 103182.‏

12. Malik, M. N.; Afzal, M.; Tariq, G. F. (1998) Mathematical modeling and computer simulation of transient flow in Centrifuge Cascade pipe network with Optimizing, Computers Math. Applic., 36(4): 63.

Volume 1, Issue 1 - Serial Number 1
August 2021
Pages 40-46

Investigation of Cut Control Equations in the Gas Centrifuge Cascades

References

References

1. Norouzi, A.et al, (2011).Parameters optimization of a countercurrent cascade based on using a real coded algorithm. Sep. Sci. Technol., 46: 2223.

2. Borisevich, V.D.; Borshchevskiy, M.A.; Zeng, S.; Jiang, D. (2014) On ideal and optimum cascades of gas centrifuges with variable overall separation factors. Chemical Engineering Science, 116 (6): 465.

3. Palkin, V.A. (1998) Determination of the optimal parameters of a cascade of gas centrifuges. Atomic Energy, 84 (3): 190.

4. Zeng S.; Ying CH. (2000) A Method of Separating a Middle Component in Multicomponent Isotope Mixtures by Gas Centrifuge Cascades Sep. Sci. Technol., 35(14): 2173.

5. Palkin, V. A. (1997) Optimization of a cascade with arbitrarily prescribed separation factors of the steps, Atomic energy, 82(4): 295.

6. Palkin, V. A.; Igoshin, S. (2012) Determination of the optimal parameters of a gas centrifuge cascade with an arbitrary stage connection scheme, Atomic Energy, 112 (1): 47.

7. Cohen, K. (1952) The Theory of Isotope Separation, McGraw-Hill, N.Y.

8. Andrade, M. C., Nascimento, C. A., Migliavacca, S. C. (2005). Detection of outliers in a gas centrifuge experimental data. Braz. J. of Chem.Eng.,22 (03): 389-400.

9. Migliavacca, S.C.P.; Rodrigues, C.; Nascimento, C.A.O. (2002) Analysis and optimization of gas centrifugal separation of uranium isotopes by neural networks, Braz. J. of Chem.Eng. 19 (3): 299.

10. Ezazi, F., et al (2020). A new method for multicomponent mixture separation cascade optimization using artificial bee colony algorithm. Progress in Nuclear Energy, 124, 103371.‏

11. Imani, M., et al. (2020). Investigation on the effect of holdup and cascade shape in NFSW cascades. Progress in Nuclear Energy, 119, 103182.‏

12. Malik, M. N.; Afzal, M.; Tariq, G. F. (1998) Mathematical modeling and computer simulation of transient flow in Centrifuge Cascade pipe network with Optimizing, Computers Math. Applic., 36(4): 63.

Volume 1, Issue 1 - Serial Number 1August 2021Pages 40-46

Volume 1, Issue 1 - Serial Number 1
August 2021
Pages 40-46