Molybdenum Isotope Separation in a Cascade with a Specified Number of Gas Centrifuges in Stages
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MOLYBDENUM ISOTOPE SEPARATION IN A CASCADE WITH A SPECIFIED NUMBER OF GAS CENTRIFUGES IN STAGES
V. A. Palkin
UDC 621.039.31
A method of calculating and optimizing a multi-flow cascade with a specified number of gas centrifuges in stages on cuts of their partial flows were developed. A special feature of the method is an iterative fitting of the separation coefficients of the gas centrifuges that depend on the feed flow and the division factor of the flow. A computational experiment was conducted on the separation of molybdenum hexafluoride and concentration of the isotopes 98Mo in an additional product and 100Mo in the waste of the cascade. The basic factors that affect the efficiency in concentrating the components and are associated with the cascade feed and the types of stages in terms of the number of gas centrifuges are determined. It is shown that the feed flows and the separation coefficients of the stages of such cascades differ significantly from those of rectangular and rectangular-sectioned cascades.
Model cascades are used to calculate and optimize the separation of different components of an isotopic mixture. Of special interest are models of cascades consisting of separation steps with large separation coefficients corresponding to gas centrifuges. The approaches developed for ordinary three-flow cascades are based on partial flows of isotopic components with arbitrary separation coefficients, specified by constants, of the stages [1]. In its particular case, a quasi-ideal cascade characterized by separation factor equality and cuts of partial flows on stages is calculated [2, 3]. The parameters of quasi-ideal cascades with an additional feed or product flow can be calculated similarly [4]. A different approach is to examine the relationships of a multi-flow cascade on introduction of transit flows of components in sections between stages [5]. This will make it possible to calculate and optimize cascades with an arbitrary number of flows if individual separation coefficients and cuts of partial flows of the stages can be specified. In the present work, we examine a method of calculating cascades with the number of gas centrifuges specified in stages, whose separation coefficients depend on their feed flow and the flow division factor. The method is based on the computational relations in [5] supplemented by a computational procedure for varying the separation coefficients. In this formulation of the problem, the separation coefficients of these steps are variables dependent on the choice of the external parameters of the cascade and the cuts of the partial flows of the stages. The developed approach differs from models of rectangular- and rectangular-sectioned cascades in which the number of separation elements in the steps are assumed to be proportional to their feed flow and the separation coefficients of the isotopes are determined by a constant per unit mass number (molecular or atomic mass) [6]. The special features of using cascades with one and two types of stages according to the number of
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