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Figure A.3. Product purity variation with two heat and mass transfer modeling approaches. From Figure A.3, it is clear that with the 2-D axisymmetric modeling approach, the product purity starts to drop gradually after 0.5 s, when the front end of the concentration front reaches the microchannel outlet. However, the lumped model overpredicts the adsorption capacity by a small margin as a result of the implicit assumption of saturation of all radial locations at the same time. Therefore, the product purity value for the case of the lumped model remains higher than that predicted by the axisymmetric model for 1.5 s. It starts to drop more rapidly than that with a 2-D model, as adsorbent particles located in the last microchannel nodes adsorb CO2 at the same time in the lumped model. In contrast, in the 2-D axisymmetric model, the drop in CH4 purity is decelerated as a part of the adsorbent layer still keeps accepting CO2 as the remaining fraction exits the microchannel as shown in Figure A.1. For the process performance prediction and model validation exercises, the radially lumped model is adopted due to the ease of modeling, very small computation time, and the reliability of coupling with the conservation equations for the microchannel 173PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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