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purityN2 purityC O2 recoveryN2 recoveryC O2 7.4.2 Reduced-order Model = = ON2 (t) dt ON2(t)+OCO2 dt HpCO2 (t) dt (7.22) (7.23) (7.24) (7.25) 7.4 PSA Case Study - Post Combustion CO2 Capture Tables 6.4 in the previous chapter shows the equations for molar flux variables of the 2-bed 4-step process which is used to calculate purities and recoveries of nitrogen and CO2 in the following manner HpN2 (t) + HpCO2 dt ON2 (t) dt − PgN2 (t) dt = = FN2 (t) dt HpCO2 (t) dt FCO2 (t) dt We use the method of lines approach to convert PDAEs in Table 7.1 to a set of DAEs after spatial discretization, which is then simulated to generate snapshots for POD basis functions. For spatial discretization, we use an upwind-based finite volume scheme with the Van Leer flux limiter for mole fraction to introduce additional numerical dispersion around steep adsorption fronts (cf. section 2.5.1). Moreover, we utilize Unibed approach and simulate only one bed for the entire cycle with the help of storage buffers to handle boundary matching for the two beds during adsorption and desorption steps (cf. section 2.4.3). It is important to note that the snapshots are generated only after the 2-bed system attains cyclic steady state. To achieve CSS, we use a successive substitution method in which a series of simulations are performed with initial conditions of each new cycle taken from the final condition of the previous cycle until the bed conditions do not change from cycle to cycle. In this case, we achieve cyclic steady state after 50-60 cycles. After obtaining snapshots, separate POD basis functions are generated for pressurization, Chapter 7. Trust-region Framework for ROM-based Optimization 149PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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