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Equilibrium staged parametric pumping: II. Multiple transfer steps per half‐cycle and reservoir staging
Author(s) -
Grevillot Georges,
Tondeur Daniel
Publication year - 1977
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690230610
Subject(s) - parametric statistics , cascade , limit (mathematics) , stage (stratigraphy) , thermodynamics , transfer (computing) , generalization , mass transfer , chemistry , mathematics , series (stratigraphy) , mechanics , chromatography , mathematical analysis , physics , statistics , computer science , geology , paleontology , parallel computing
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.