An International Peer - Reviewed Journal by Nuclear Science & Technology Research Inistitute

Document Type : Research paper


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.


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.


1. Norouzi, 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 algorithmProgress in Nuclear Energy, 124, 103371.‏

11. Imani, M., et al. (2020). Investigation on the effect of holdup and cascade shape in NFSW cascadesProgress 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.