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Table C.3 Sample calculations for the governing conservation equations Input Equations Output This table shows the calculation of all differential variables using a backward differencing scheme with implicit time stepping method for the microchannel node. Ct 22.69 [kg m-3] g,CH4,j Ct 27.74 [kg m-3] g,CO2,j t 0.005 [s] utt 1.83[ms-1] j Ctt 18.30 [kg m-3] g,CH4,j1 Ctt 22.51 [kg m-3 ] g,CO2,j1 z 0.01 [m] Dtt 0.012[m2 s-1] A,G,j Dtt 2.23109 [m2 s-1] A,L,j Ctt g,CH4,j2 Ctt g,CO2,j2 16.21[kg m-3] 20.31 [kg m-3 ] Rtt eq,Mass,G,CH4,j Rtt eq,Mass,G,CO2,j Rtt eq,Mass,L,CH4,j Rtt eq,Mass,L,CO2,j 76001[m-2 s] 90133[m-2 s] 2.72106 [m-2 s] 2.73106 [m-2 s] Ctt 23.68 [kg m-3] w,CH4,j Ctt 29.18 [kg m-3] w,CO2 , j Ag 1.735107 [m2] Microchannel species conservation equation Cg,i uCg,i t z S S X S X S D 2C ads LDG G GDL G purge A,G g,i S XS S S XD z 2 LDG L deso cool GDL L A,L S S X S X S 1 ads LDG G GDL G purge R CC eq,Mass,G,i g,i w,i 0 S XS S S X 1 Ag LDG L deso cool GDL L Req,Mass,L,i Discretized form Ctt Ct g,i,j g,i,j utt Ctt Ctt g,i,j g,i,j1 t j z S S X S X S Dtt Ctt 2Ctt Ctt ads LDG G GDL G purge A,G,i,j g,i,j2 g,i,j1 g,i,j S XS S S XDtt z2 Sads SLDG XG SGDL XG Spurge Rtt Ctt Ctt eq,Mass,G,i,j g,i, j w,i, j S XS S S X 1 A g LDG L deso cool GDL L A,L,i,j 1 Ctt 20.49 [kg m-3] g,CH4,j Ctt 25.12 [kg m-3] g,CH4,j (After iterations and implementing the switch procedure) LDG L deso R t t cool GDL L eq,Mass,L,i,j 0 185PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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