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imported from the Multiflash property package (Process Systems Enterprise, 1997-2015). A second order central differencing scheme with an implicit time step calculation is used for simulation of the governing equations. The grid Peclet number, shown in Equation (4.34), which must be less than two for computational stability, is maintained below 0.65. Appendix D shows sample calculations for a time instant when the adsorption stage is in progress and the thermal wave is approximately at the center of the microchannel. Pegrid uL (4.34) NDA,i 4.5 Model validation The adsorption stage model is simulated for the known values of ΔP, L from the experiments and other parameters listed in Table 4.2. The parameters critical to the determination of the adsorbent layer capacity but not known explicitly are the adsorbent layer void fraction, ε, and the adsorbent mass loading, MF. To determine these parameters, repeated adsorption experiments are conducted on different 2 m long PLOT columns with an imposed ΔP of 18 kPa. The manufacturing variability of the PLOT columns results in a range of adsorption times and ranges of the local and average ΔT. Hence, to correlate the temperature rise pattern and the adsorption time simultaneously, the adsorption stage model is simulated using a range of chosen values of ε and MF. Figure 4.8(a) shows a representative validation of the model for the data shown in Figure 4.2 using ε = 0.60 and MF = 0.60, while Figure 4.8(b) shows a validation for another test section with ε = 0.80 and MF = 0.54. However, it is impractical to conduct such validations for each of the 175 readings in Figure 4.4. 129PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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