Journal of Nuclear Science, Engineering and Technology (JONSAT)
In cooperation with the Iranian Nuclear Society

Investigation the effect of M* and α0 on the separation of 4th and 8th isotopes of tellurium in a Q model cascade

Document Type : Research Paper

Authors

F. Mansourzadeh
A.A. Ghorbanpour Khamseh
J. Safdari

Nuclear Fuel Cycle Research School, Nuclear Science and Technology Research Institute, AEOI, P.O.Box:11365-8486, Tehran-Iran

https://doi.org/10.24200/nst.2022.1447
Abstract
One of the crucial parameters in designing the Q model cascade for the multi-component systems is the M* parameter. In this research, a code called MOTACAS has been developed to design a Q cascade, using the optimal value of the M* parameter. In this regard, the enrichment of the 8th isotope of tellurium at the heavy stream to 0.40, 0.7, 0.9, and 0.99, and the enrichment of the 4th isotope to 0.1, 0.3, 0.4, and 0.5 have been investigated. Also, in order to evaluate the effect of the separation factor on M*, optimal Q cascades for the enrichment of the 8th and the 4th isotopes with separation factors of 1.05 and 1.1 have been designed and compared with each other. The results show that the acceptable range of the M* decreases with increasing the desired isotope concentration. The optimal value of the M* does not change with reducing the separation factor. The relative inter-stage flow rate remains constant despite increasing the total inter-stage flow rate. Moreover, the required number of separation stages to reach the end component to a high concentration increased, but the enrichment of the middle component in the one cascade is limited despite increasing the stages.

Highlights

1. De.La. Garza A., A generalization of the matched abundance-ratio cascade for multicomponent isotope separation, Chem. Eng. Sci., 18, 73 (1963).

 

2. R. Kucherov, N.P. Minenko, Theory of cascade for separating Multi-component isotope mixtures, Atomic Energy, 19, 1290 (1965).

 

3. N.A. Kolokoltsov, Design of Cascades for separating isotope mixtures, UDC 621.039.3, (1970).

 

4. G.A. Sulaberidze, V.D. Borisevich, Cascade for Separation of Multicomponent Isotope Mixtures, Sep. Sci. Tech., 36(8&9), 1769–1817 (2001).

 

5. Sh. Zeng, et al, Use of the Q-cascade in calculation and optimization of multi-isotope separation, Chem. Eng. Sci., 66, 2997-3002 (2011).

 

6. V.D. Borisevich, G.A. Sulaberidze, S. Zeng, New Approach to Optimize Q-Cascades, Chem. Eng. Sci., 66, 393–396 (2011).

 

7. T.M. Song, et al., Comparative study of the model and optimum cascades for multicomponent isotope separation, Sep. Sci. Tech., 45 (14), 2113–2118 (2010).

 

8. R.C. Raichura, M.A.M. AI-Janabi, G.M. Langbein, The effect of the 'KEY' molar mass on the design of a cascade handling a multi-isotopic mixture, Annals of Nuclear Energy, 18, 327 (1991). 

 

9. F. Mansourzadeh, et al., Comparison of optimum tapered cascade and optimal square cascade for separation of xenon isotopes using enhanced TLBO algorithm, Sep. Sci. Tech., 53, 2074-2087 (2018).

 

10. V.A. Palkin, Optimization of a centrifuge cascade for separating a multicomponent mixture of isotopes, Atomic Energy, 14, 109-115 (2013).

 

11. F. Mansourzadeh, et al., Performance comparison of match abundance ratio cascade with optimal conditions for the separation of stable xenon isotopes, Journal of Nuclear Science and Technology, 94, 4 (2021) (In Persian).

 

12. F. Mansourzadeh, et al., Utilization of harmony search algorithm to optimize a cascade for separating multicomponent mixtures, Progress in Nuclear Energy, 111, 165-173 (2019).

 

13. J. Safdari, A. Norouzi, R. Tumari, Using a Real Coded PSO Algorithm in the Design of a Multi-Component Counter-Current Cascade, Sep. Sci. Techno, 52, 2855-2862 (2017).

 

14. S. Zeng, Y. Chuntong, A method of separating a middle component in multicomponent isotope mixtures by gas centrifuge cascades, Sep. Sci. Tech. 35, 2173-2186 (2000).

Keywords

Stable isotopes
Q cascade
M* parameter
Total inter-stage flow rate
Tellurium
1. De.La. Garza A., A generalization of the matched abundance-ratio cascade for multicomponent isotope separation, Chem. Eng. Sci., 18, 73 (1963).
 
2. R. Kucherov, N.P. Minenko, Theory of cascade for separating Multi-component isotope mixtures, Atomic Energy, 19, 1290 (1965).
 
3. N.A. Kolokoltsov, Design of Cascades for separating isotope mixtures, UDC 621.039.3, (1970).
 
4. G.A. Sulaberidze, V.D. Borisevich, Cascade for Separation of Multicomponent Isotope Mixtures, Sep. Sci. Tech., 36(8&9), 1769–1817 (2001).
 
5. Sh. Zeng, et al, Use of the Q-cascade in calculation and optimization of multi-isotope separation, Chem. Eng. Sci., 66, 2997-3002 (2011).
 
6. V.D. Borisevich, G.A. Sulaberidze, S. Zeng, New Approach to Optimize Q-Cascades, Chem. Eng. Sci., 66, 393–396 (2011).
 
7. T.M. Song, et al., Comparative study of the model and optimum cascades for multicomponent isotope separation, Sep. Sci. Tech., 45 (14), 2113–2118 (2010).
 
8. R.C. Raichura, M.A.M. AI-Janabi, G.M. Langbein, The effect of the 'KEY' molar mass on the design of a cascade handling a multi-isotopic mixture, Annals of Nuclear Energy, 18, 327 (1991). 
 
9. F. Mansourzadeh, et al., Comparison of optimum tapered cascade and optimal square cascade for separation of xenon isotopes using enhanced TLBO algorithm, Sep. Sci. Tech., 53, 2074-2087 (2018).
 
10. V.A. Palkin, Optimization of a centrifuge cascade for separating a multicomponent mixture of isotopes, Atomic Energy, 14, 109-115 (2013).
 
11. F. Mansourzadeh, et al., Performance comparison of match abundance ratio cascade with optimal conditions for the separation of stable xenon isotopes, Journal of Nuclear Science and Technology, 94, 4 (2021) (In Persian).
 
12. F. Mansourzadeh, et al., Utilization of harmony search algorithm to optimize a cascade for separating multicomponent mixtures, Progress in Nuclear Energy, 111, 165-173 (2019).
 
13. J. Safdari, A. Norouzi, R. Tumari, Using a Real Coded PSO Algorithm in the Design of a Multi-Component Counter-Current Cascade, Sep. Sci. Techno, 52, 2855-2862 (2017).
 
14. S. Zeng, Y. Chuntong, A method of separating a middle component in multicomponent isotope mixtures by gas centrifuge cascades, Sep. Sci. Tech. 35, 2173-2186 (2000).

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