An analytical determination of the concentration of admixed component in the product and waste streams of a multistream cascade separating a multicomponent isotopic mixture is examined. It is proposed that the solution of the systems of differential equations describing the variation in the concentration of the components of a mixture over the steps assuming the enrichment effects to be small be used. The general approach to obtaining analytical relations for the evaluations is shown for the example of cascades with several feed and product streams. Calculations of uranium cascades are performed, showing good agreement between the analytical determinations and the numerical calculations for the separation of natural and waste depleted uranium hexafluoride obtained from regenerated uranium.
Similar content being viewed by others
References
B. V. Zhigalovskii, Lectures on Multicomponent Mixtures, UEKhK, Novouralsk (1999).
A. I. Izrailevich, “Relations for calculating the content of minor isotopes for three-stream cascades,” 8th All-Russ. (Int.) Sci. Conf. Physical and Chemical Process in the Selection of Atoms and Molecules, TSNIIatominform, Moscow (2003), pp. 40–42.
(Int.) Sci. Conf. Physical and Chemical Process in the Selection of Atoms and Molecules, TSNIIatominform, Moscow (2003), pp. 40–42.
V. A. Palkin and R. S. Komarov, “Analytical calculation of the content of uranium isotopes in a cascade with two feed, two product, and one waste stream,” At. Énerg., 102, No. 4, 140–144 (2007).
V. A. Palkin and E. V. Maslyukov, “Analytical determination of the content of minor uranium isotopes in optimal cascades,” 12th Int. Sci. Conf. Physical and Chemical Process in the Selection of Atoms and Molecules in Laser, Plasma, and Nanotechnologies, TSNIIatominform, Moscow (2008), pp. 31–34.
G. A. Sulaveridze, V. A. Palkin, V. D. Borisevich, et al., Theory of the Separation of Isotopes in Cascades, MIFI, Moscow (2007).
V. A. Palkin, “Separation of uranium isotopes in a cascade with an intermediate product stream,” Persp. Mater., No. 8, 11–14 (2010).
Author information
Authors and Affiliations
Additional information
Translated from Atomnaya Énergiya, Vol. 118, No. 4, pp. 215–218, April, 2015.
Rights and permissions
About this article
Cite this article
Palkin, V.A. Determination of the Content of Admixed Components in an Optimal Multistream Cascade. At Energy 118, 272–277 (2015). https://doi.org/10.1007/s10512-015-9992-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10512-015-9992-7