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Table C.3 Sample calculations for the governing conservation equations – continued This table shows the calculation of all differential variables using a backward differencing scheme with implicit time stepping method for the adsorbent layer node. 0.55 Ct 23.68 [kg m-3] w,CH4,j Ct 29.18 [kg m-3] w,CO2 , j t 0.005 [s] 0.1991 Ct A,CH4,j Ct A,CO2 , j Dtt eff ,G, j Dtt eff ,L, j = 1659 [mol m-3 ] = 5205 [mol m-3 ] 8.39108 [m2 s-1] 6.131010 [m2 s-1] Ctt w,CH4,j2 Ctt w,CO2,j2 Ctt w,CH4,j1 Rtt eq,Mass,G,CH4,j Rtt eq,Mass,G,CO2,j Rtt eq,Mass,L,CH4,j Rtt eq,Mass,L,CO2,j 23.17 [kg m-3] 28.76 [kg m-3] 23.41 [kg m-3 ] 28.96 [kg m-3] z 0.01 [m] Ctt w,CO2,j1 76001[m-2 s] 90133[m-2 s] 2.72106 [m-2 s] 2.73106 [m-2 s] Ctt 20.49 [kg m-3] g,CH4,j Ctt 25.12 [kg m-3] g,CO2,j Aw 4.712108 [m2] Adsorbent layer species conservation equations Cw,i CA,i t t SSXSXSD 2C ads LDG G GDL G purge eff,G,iw,i S XS S S XD LDG L deso cool GDL L eff ,L,i S S X S X S 1 ads LDG G GDL G z2 purge R CC eq,Mass,G,i g,i w,i 0 S XS S S X 1 Aw LDG L deso cool GDL Discretized form t LDG L deso cool GDL L eff ,L, j Ctt Ct w,i, j w,i, j Ctt Ct A,i, j A,i, j L Req,Mass,L,i S S X S X S Dtt Ctt 2Ctt Ctt ads LDG G GDL G purge eff,G,j w,i,j2 w,i,j1 S XS S S XDtt t z2 SSXSXS1 w,i,j 0 ads LDG G GDL G purge Rtt Ctt Ctt eq,Mass,G,i, j g,i, j w,i, j SXSSSX1 Aw LDG L deso cool GDL L Rtt eq,Mass,L,i, j Ctt w,CH4 , j Ctt w,CO2 , j Ctt A,CH4 , j Ctt A,CO2 , j 23.61 [kg m-3 ] 29.13 [kg m-3] 1654 [mol m-3] 5200 [mol m-3] (After iterations and implementing the switch procedure) 187PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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