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C Tw kwrTw wp,wt rrr kw lumped model and are shown in Equations (A.3) and (A.4). In the radial direction, both the conservation equations need different boundary conditions. For species conservation, the fused silica layer attached with the adsorbent layer is impermeable to species; hence, a no-flux boundary condition as shown in Equation (A.5) is employed at the outer wall. The adsorbent layer interacts with the microchannel species; hence, the mass convection boundary condition as shown in Equation (A.6) is used. The heat of adsorption released from the adsorbent layer is transferred to the adjacent gases in the microchannel as well as the fused silica layer; hence, the heat transfer boundary conditions involve heat conduction to the fused silica layer as shown in Equation (A.7), and heat convection to the microchannel as shown in Equation (A.8). eff ,i r m rrin g,i w,i rrin z0 eff ,i z k Tw zL zL 0 k Tw wz wz z0 D Cw,i 0 D w,i hCC (A.2) k w H C t z z The boundary conditions at the side walls of the adsorbent layer are as used in the D Cw,i eff ,i z D Cw,i 0 (A.3) (A.4) (A.5) (A.6) eff ,i r rrout C 168 ads ,i A,iPDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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