Abstract
The separation characteristics of an optimal centrifuge as a function of rotor length and feed flow are found on the basis of a refined radial-averaging method based on a local approach. It is shown that taking account of the radial nonuniformity of the transit flow substantially decreases the separation coefficient and increases the separation power. The mechanism for value production in the rotor volume with arbitrary feed flow is examined in detail. The optimal coefficient of separation of the feed flow is found by maximizing the value production density. It is shown that in the approximation considered there is no optimum of the separation power with respect to the feed flow intensity. In contrast to the standard radial-averaging method the results obtained are applicable for arbitrary ratio of feed and counterflow intensities.
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REFERENCES
K. Cohen, A Theory of Isotope Separation as Applied to Large-Scale Production of U 235 , McGraw-Hill Books, New York (1951).
U. Bremel, E. Koster, and E. Ratz, “Review article on centrifuge technology,” in: Open Publications and Patents on Gas Centrifuges, edited by A. P. Senchenkov, RNTs “Kurchatovskii Institut,” Moscow (199), pp. 19–72.
H. Wood and M. Gunzburger, “Adjoint and sensitivity-based methods for optimization of gas centrifuges,” in: Proceedings of the 7th Workshop on Separation Phenomena in Liquids and Gases, Moscow (2000), pp. 89–99.
E. Ratz, “Optimal flows in gas centrifuges,” in: Proceedings of the 3rd Workshop on Gases in Strong Rotation, Rome (1979), pp. 431–458.
S. Villani (ed.), Uranium Enrichment [Russian translation], Énergoatomizdat, Moscow (1983).
E. Von Halle, “The optimal axial flow taper in a countercurrent gas centrifuge,” US DOE Report K/OA-4445 (1979).
V. D. Borisevich, E. V. Levin, and V. V. Naumochkin, “Optimal flow structure in a gas centrifuge for separation of uranium isotopes,” At. Énerg., 70, No. 1, 28–32 (1991).
O. E. Aleksandrov, “Application of the radial-averaging method for describing diffusion in a gas centrifuge with a nonuniform circulation flow,” At. Énerg., 86, No. 3, 210–219 (1999).
D. Olander, “The theory of uranium enrichment by the gas centrifuge,” in: Progress in Nuclear Energy, Pergamon Press Ltd., N.Y. (1981), Vol. 8, pp. 1–33.
V. I. Tokmantsev, “Refined equation for analyzing the separation of a binary mixture of isotopes in a gas centrifuge by the radial-averaging method,” At. Énerg., 92, No. 5, 360–366 (2002).
V. I. Tokmantsev, “Potential and local efficiency of centrifuge separation of a nonisotopic binary mixture of gases,” At. Énerg., 91, No. 2, 153–163 (2001).
O. E. Aleksandrov, “Separation power of a gas centrifuge and some errors in optimizing it,” At. Énerg., 92, No. 3, 212–221 (2002).
O. E. Aleksandrov, “Ideal centrifuge,” At. Énerg., 87, No. 3, 213–219 (1999).
E. Van Halle, H. Wood, and R. Lowry, “The effect of vacuum core boundary conditions on separation in the gas centrifuge,” Nucl. Tech., 62, 325–334 (1983).
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Tokmantsev, V.I. Separation Power and Separation Coefficient for an Optimal Counterflow Centrifuge with Radially Nonuniform Transit Flow. Atomic Energy 93, 898–905 (2002). https://doi.org/10.1023/A:1022459721824
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DOI: https://doi.org/10.1023/A:1022459721824