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P. BISWAS et al., Modeling and Simulation for Pressure Swing Adsorption System ..., Chem. Biochem. Eng. Q. 24 (4) 409–414 (2010) 411 Computational algorithm bed 1 feed D1 D2 Bd Pg P1 P2 pres bed 2 P2 pres feed D1 D2 Bd Pg P1 bed 3 Bd Pg P1 P2 pres feed D1 D2 bed 4 D1 D2 Bd Pg P1 P2 pres feed In our study, we simulated a 4-bed, 8-stage sys- tem. The column dimensions are given in the Appen- dix. Two adsorbents were taken (activated carbon and zeolite) and the results were compared. Fig. 1 shows the sequence of stages a bed would follow during a cy- cle. Fig. 2 displays how the beds would be connected during each step. Connected beds during the same time step are represented by the same shade of grey. F i g . 1 – Cycle sequence in PSA (8 stages) T a b l e 1 – Boundary conditions of steps of PSA F i g . 2 – Cycle sequence of a 4-bed, 8-stage PSA system feed-feedstep, D1-pressure equalization depressurization I, D2-pressure equalization depressurization II, Bd-bowdown, Pg-purge, P1- pressure equalization pressurization I, P1- pres- sure equalization pressurization I, pres- pressurization Simulation considered cyclical steady state. Therefore, only one bed was solved assuming all the other beds would have same conditions after a period of time. For the solution, the model equa- tions were discretized in space and time domains using Newton based approach Englezos et al.19 The resulting equations were then solved algebraically. The equations were simulated for a single cycle and then repeated for multiple cycles. It was observed that steady state in the bed (i.e. conditions in the bed would be the same after completing a cycle) was obtained after about 200 cycles. Boundary conditions for various steps are given in the table below: Adsorption y =y i z=0 feed Pressure depressurization I & II Equalization blowdown Purge ¶yzi T =T z= 0 yiz=L =yfeed z= L z= 0 = 0 f e e d ¶T =0 ¶z z=0 ¶Tz ¶u =0 ¶Tz uz=0 =0 ¶Tz uz=L=0 Tz=L =Tfeed ¶u =0 = 0 uz=0 =ufeed z= L z= L z= L ¶z z=L Pressure equalization – pressurization I z= 0 ¶Tz ¶u =0 = 0 T z=L =Tfeed z= 0 ¶z z=0 uz=0 =ufeed T z=L =Tfeed ¶u =0 = 0 ¶yi ¶z ¶yzi ¶T ¶ z z= 0 z= L z= 0 =0 =0 =0 =0 ¶yi ¶z ¶yzi ¶T ¶z z= 0 z= L z=0 =0 =0 =0 =0 ¶yi ¶z =0 ¶u =0 ¶z z=L ¶u =0 ¶z z=0 Pressure equalization – pressurization II ¶yzi = 0 z= 0 yi z=L = yfeed ¶Tz = 0 z= 0 ¶z z=0 uz=0 =ufeed ¶z z=0 uz=L =ufeed ¶yzi yi z=L = yfeedPDF Image | Modeling and Simulation for Pressure Swing Adsorption System
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