Skip to main content
Log in

Optimization of a Square Cascade of Centrifuges for Separation of Multicomponent Mixtures of Stable Isotopes

  • Published:
Atomic Energy Aims and scope

A method of optimizing the parameters of a three-stream square cascade for separation of multicomponent mixtures of stable isotopes under specified external conditions is proposed. It is based on a combination of a check calculation of the parameters of the cascade based on the separation factor approximation and a numerical search for the values of the external flows which are required to secure a specified external concentration. It is shown that this method can be used to calculate the optimal parameters of a square cascade for separating mixtures with a different number of components.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. A. Orlov, A. A. Ushakov, V. P. Sovach, and D. F. Mymrina, “Modeling of nonstationary processes during separation of multicomponent isotope mixtures,” Sep. Sci. Technol., 53, No. 5, 796–806 (2018).

    Article  Google Scholar 

  2. Theory of Cascades for the Separation of Binary and Multicomponent Isotopic Mixtures: Teach. Aid, NiYaU MIFI, Moscow (2011).

  3. E. M. Aisen, V. D. Borisevich, D. V. Potapov, et al., “Computing experiments for study of cadmium isotope separation by gas centrifuges,” Nucl. Intsrum. Meth., 417, No. 2–3, 428–433 (1998).

    Article  ADS  Google Scholar 

  4. S. Zeng and C. Ying, “A Method of separating a middle component in multicomponent isotope mixtures by gas centrifuge cascades,” in: Proc. 7th Workshop of Separation Phenomena in Liquids and Gases, Moscow, Russia (2000), p. 100.

  5. D. V. Potapov, G. A. Sulaberidze, and L. P. Kholpanov, “Calculation of a square-sectioned cascade by approximating the separation factor,” Teor. Osn. Khim. Tekhnol., 34, No. 2, 147–151 (2000).

    Google Scholar 

  6. V. A. Palkin and E. S. Frolov, “Calculation and properties of a square cascade with specified external concentrations of the desired isotope,” in: 7th All-Russ. (Int.) Sci. Conf. on Physicochemical Processes in the Selection of Atoms and Molecules, Zvenigorod (2002), pp. 124–129.

    Google Scholar 

  7. G. A. Sulaberidze, A. R. Mustafi n, A. Yu. Smirnov, et al., “Optimization of cascades with variable overall separation factors by various efficiency criteria,” J. Phys.: Conf. Ser., 1099, 012009 (2018).

    Google Scholar 

  8. L. P. Kholpanov, Quanxin Xie, G. A. Sulaberidze, and V. D. Borisevich, “Calculation of a square rectangular cascade with working substance losses at the steps and in the pipelines on separating multicomponent isotopic mixtures,” At. Energ., 104, No. 1, 17–23 (2008); Atomic Energy, 104, No. 1, 23–32 (2008).

  9. Q. Xie and C. Yikun, “An efficient method for calculating multicomponent square cascades,” in: Proc. 11th Workshop on Separation Phenomena in Liquids and Gases, St. Petersburg, June 13–18, 2010, pp. 114–121.

  10. R. Brent, Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, NY (1973), Ch. 3–4.

  11. A. De la Garza, G. Garrett, and J. Murphy, “Multicomponent isotope separation in cascades,” Chem. Eng. Sci., 15, 188–209 (1961).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. E. Azizov.

Additional information

Translated from Atomnaya Énergiya, Vol. 128, No. 5, pp, 270–275, May, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Azizov, T.E., Smirnov, A.Y. & Sulaberidze, G.A. Optimization of a Square Cascade of Centrifuges for Separation of Multicomponent Mixtures of Stable Isotopes. At Energy 128, 291–296 (2020). https://doi.org/10.1007/s10512-020-00690-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10512-020-00690-8

Navigation