Cascades for Separation of Multicomponent Isotope Mixtures

Mathematical Modeling of Nonstationary Separation Processes in Gas Centrifuge Cascade for Separation of Multicomponent Isotope Mixtures

“…The two initial conditions are: 1. Hydraulic parameters of cascade correspond to the stationary values, isotope concentrations in all stage are equal to their concentrations in feed flow [1,2] (initial conditions 1). 2.…”

“…During these processes isotope composition changes in cascade and it is necessary to minimize losses of cascade productivity. At present, there are mathematical models of nonstationary separation processes [1,2], which have such disadvantage as a limited field of application: simulation is only possible in the case of stationary hydraulic parameters of GC cascade. Using of these models is impossible for the joint calculation of nonstationary hydraulic and separation processes.…”

Special features of the enrichment of components with intermediate mass in a quasi-ideal cascade

“…Asymptotic formulas are obtained for the range of existence of the solutions of the system of equations which relates the external and internal parameters of the cascade. The approach developed is illustrated by examples of a process of separation of a natural mixture of krypton isotopes in a quasi-ideal cascade for admissible concentrations of the target intermediate component in the product and waste flows.The theory of quasi-ideal cascades -symmetric counterflow cascades with relative separation coefficient at the steps substantially different from 1 is described in [1][2][3]. The separation coefficient of the partial flows in such cascades is constant.…”

“…A particular case of a quasi-ideal cascade is a R cascade. In such a cascade, at the entrances into its steps the flows of the mixture to be separated are combined with the same relative concentration of the vapor of the chosen components [3][4][5][6][7].When a m-component mixture is separated, the parameters of the quasi-ideal cascade are the feed flow F, the product flow P, and the waste flow W, and the corresponding concentrations C iF , C iP , and C iW (i = 1, m), the total separation of the steps q ik and the coefficient of separation of the steps with respect to the enriched (light) α ik and depleted (heavy) β ik fractions (i =  1, m), which are constants and are independent of the number of the steps. In addition, the parameters of the problem are the total number N of steps in the cascade, the number f of the step at whose entrance the feed flows enter, and the number k of the component (called the reference component), relative to which the separation coefficients q ik , α ik , and β ik are calculated.…”

“…The theory of quasi-ideal cascades -symmetric counterflow cascades with relative separation coefficient at the steps substantially different from 1 is described in [1][2][3]. The separation coefficient of the partial flows in such cascades is constant.…”