New approach to optimize Q-cascades

Use of the Q-cascade in calculation and optimization of multi-isotope separation

“…The viability of the proposed approach is demonstrated by the following example of enrichment of the cadmium 114 Cd isotope (Borisevich et al, 2011). The natural abundances of cadmium isotopes are listed in Table 1.…”

“…The present paper addresses two problems that are not studied in the recent relevant papers (Song et al, 2010;Borisevich et al, 2011). First is about the region of the key mass where the optimum parameters of a cascade reside.…”

“…As the explicit expressions can be obtained for the relationships between known and unknown quantities of a Q-cascade, a cascade analysis becomes relatively simple. The idea of ''the cascade key mass'' (Raichura et al, 1991) is recently applied to optimization of a Q-cascade with the minimum total flow for the given concentrations of a target component in the product and waste flows (Borisevich et al, 2011). In this way, the optimization problem of multiple variables and mixed variable types (integer and real ones) is converted to a much simpler optimization problem of a single variable.…”

Isotopically Selective Mass Transfer in the Q-Cascade with Losses of Working Substance

“…The model of the Q-cascade is widely used in modeling the separation process of multi-isotope mixture under the condition of ''the weak enrichment'' (7,8).…”

Comparison of the efficiency of square cascades with an additional product flow and double cascades to concentrate intermediate isotopes

“…In this regard, to search for initial approximations, it is reasonable to use the parameters of the optimal schemes of model cascades. For this purpose, the corresponding double cascades built of Q-cascades were chosen [24]. The optimization of the parameters of Q-cascades is less complicated compared to SC, including the case of optimization of a system of Q-cascades [18,25,26].…”