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layer in the microchannel. This condition is depicted in Figure 2.5(b). The total pressure difference in the adsorbent layer and corresponding microchannel node is tracked to differentiate between these two desorption scenarios. In this manner, appropriate changes involving diffusion phenomena (gas diffusion and gas convection during early desorption/gas diffusion and liquid convection during late desorption) are made to the mass transfer resistance shown in Equation (2.1). It must be noted that surface tension forces become important for the entry of the HTF into the adsorbent layer during desorption and cooling. The presence of void spaces of variable size in the adsorbent layer poses significant challenges in modeling the exact local movement of the HTF. The binder material, modeled as Poly (Ether Imide) (PEI) in the present work is hydrophilic. Therefore, when liquid water is used as the HTF, PEI is more likely to facilitate the entry of water in the adsorbent layer owing to capillary forces acting in the direction from the microchannel core to the adsorbent layer. Simultaneously, as the gases are desorbed and are accumulated in the void spaces, they exert a counteracting force due to pressure difference between the adsorbent layer and the microchannel. However, for the microchannel geometry considered in the present work, capillary forces are not capable of inducing a radially outward motion of the HTF. This is because the outer boundary of the adsorbent layer, i.e., the channel wall, is impervious, and the incoming HTF would encounter the desorbing gases at high pressure. Hence, the surface tension forces can only act to decrease the pressure difference between the adsorbent layer and the microchannel, which is created by the desorption of gases. (In contrast, for designs such as heat pipes, capillary forces are the primary driving agents for the liquid flow from the condenser to the evaporator and for such systems, they do not 31PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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