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A. 2-D AXISYMMETRIC HEAT AND MASS TRANSFER MODELING A.1 Modeling methodology For modeling heat and mass transfer within the adsorbent layer, a radially lumped approach is followed and described in Chapter 2. However, a 2-D axisymmetric model is developed to analyze heat and mass transfer accurately during the adsorption stage, and its results are compared with the radially lumped model. This investigation is not carried forward due to very long simulation times and difficulties associated with coupling the 2- D heat and mass transfer models with alternating gas and liquid columns in the microchannels. A comparison of adsorption stage performance from the 2-D model and those from the lumped model provides the rationale for the use of the lumped heat and mass transfer approach in the process model development. The 2-D axisymmetric model utilizes the simulation parameters shown in Table 2.1. The thermo-physical properties of the adsorbent layer and the fluid mixtures are also the same as those used in the lumped model. The only difference in the execution of these two models is the variation of species concentration and energy in radial directions. The species and energy equations used in the 2-D axisymmetric model are shown in Equations (A.1) and (A.2). It must be noted that the boundary conditions from the microchannel side are not incorporated in the species and energy balance, because in this case, the boundary conditions are employed only at the microchannel and adsorbent layer interface. Cw,i CA,i Deff,i rCw,i D Cw,i (A.1) tt rrreff,izz 167 PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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