Design of cascades for separating isotope mixtures

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

“…Considering the explicit form (1) for the values of u i as well as small Q i (Q i < < 1) and passing in (6) from finite difference equations to differential ones, one obtains Differentiation of Eqs (7). with respect to the l variable leads to a new set of equations:…”

“…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).…”

Transient processes in Q-cascades for separation of multicomponent mixtures

“…Considering that the total flow of a working substance in the cross-section where a feed flow enters to the cascade is equal to (Kolokoltsov et al, 1970;Zeng et al, 2011Zeng et al, , 2012Tolstoy, 2010) …”

“…This concept was further developed by the Russian scientists in 1970s (Kolokoltsov et al, 1970(Kolokoltsov et al, , 1973Kolokoltsov and Sulaberidze, 1971). There exist two main types of model cascades, which are a "quasi-ideal" cascade with arbitrary enrichments (Yamamoto and Kanagawa, 1978;Sazykin, 2000) and a Q-cascade with "weak" enrichments (Kolokoltsov et al, 1970) at cascade stages. The special case for both types is a Matched Abundance Ratio Cascade (MARC) (De la Garza et al, 1961;De la Garza, 1963;Von Halle, 1987).…”

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

“…A Q-cascade (Kucherov and Minenko, 1965;Kolokol'tsov et al, 1970) is a type of model separation cascades with continuous profiles. It was derived in the case of small separation factors, but in fact it is applicable to the case of arbitrary separation factors.…”