# Equilibrium staged parametric pumping: II. Multiple transfer steps per half‐cycle and reservoir staging

TL;DR: In this paper, the authors studied the limit regimes of the (one-stage, n transfer) and (one stage, two transfer) parametric pumps in the half-cycle setting.

Abstract: The limit regimes of equilibrium staged batch parametric pumps are studied. The half-cycle comprises several equilibrations at each temperature, each followed by a discrete transfer of fluid. The concentration distribution of the effluent of each half-cycle is conserved by a cascade of reservoirs. The concepts, methods, and McCabe-Thiele representation are first introduced on the example of the (one-stage, two transfer) pump. The generalization to the (one stage, n transfer) pump leads to a limit regime represented by a staircase construction between the two isotherms, the number of steps of the staircase being equal to the number of transfer steps. The limit regime of the general (N stage, n transfer) pump is then analyzed in terms of the properties of the (one stage, n transfer) pump considered above and of the (N stage, one transfer) pump discussed in the preceding paper of this series. An analytical solution for the separation factor is given in the case of linear isotherms. The importance of conserving the effluent concentration distribution is illustrated by graphical and numerical comparisons with pumps where this is not done.

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...cess configurations. Equilibrium staged models were used by Grevillot and Tondeur [12, 13 ,14]....

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