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where and Cpx =xiCpfi i Cpy =yiCpfi i (3.13) (3.14) The walls of the adsorbent bed are assumed to be insulated, and the bed inlet is modeled as either insulated or having a constant feed temperature depending on the half-cycle being simulated. At the bed outlet the boundary condition for the energy balance is ∇T=0 at z=L (3.15) 3.3 Results and Discussion To determine the effects of nonuniform heating on the temperature swing pro- cess, we solve the coupled equations 3.3, 3.5, and 3.8 using Comsol Multi-PhysicsT M finite element software. We begin by modeling a representative portion of the TSA bed com- posed of 5A zeolite that Rosen et al.13 used in their experiments, in which CO2 is preferentially removed from a gas mixture containing N2, O2, and CO2.We consider the system shown in Figure 3.1, which is a simplified version of the more complex adsorption compressor considered by Rosen et al. Their paper contains photographs of a working temperature swing adsorption compressor as well as our calculations for the performance of the device. The calculations presented here consider the fun- damental and important issue of nonuniform heating for a simplified model system using a refined version of our earlier mathematical model. The values used for the adsorbent properties and constants in the finite element simulations are shown in Table 3.1. The diffusion constant used in the model is larger than that which theory predicts for molecular diffusion and includes a contribution for dispersion; this was necessary in order for the algorithm to treat sharp transitions properly. 31PDF Image | TEMPERATURE SWING ADSORPTION COMPRESSION AND MEMBRANE SEPARATIONS
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