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5. Multiple-Cell Model of a PSA System 5.1 Introduction In this chapter, a Multiple-Cell model using binary linear isotherms is used to visualize and confirm the results given in the previous chapter. Models such as this have been developed before, but not for the purpose of doing energy calculations. Bed dynamics may be simulated by dividing the bed into a number of "cells" of homogeneous composition. This is effectively a one-dimensional finite-difference model of the bed, but a physical, rather than a mathematical approach is used to develop the model. The derivation of the model is based on the total mole balance and species A mole balance equations for a single cell. These equations, which relate the flows in and out of a cell to the change in pressure and mole fraction, are placed into a visual basic application that keeps track of the feed, product, blowdown, purge and pressurization flows during the four steps of the Four-Step cycle. The energy required for the different steps is also calculated. All of the mrottling energy is recovered, so the model is most closely related to the Ideal Four-Step Cycle. A number of assumptions are made, some of which are the same as for the BLI theory used in Chapter 3: 1. Binary ideal gas mixture. 2. Local equilibrium between gas and solid phases within each cell. 3. Linear, uncoupled adsorption isotherms. 127PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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