Page 233 - Pressure Swing Adsorption
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             210                                    PRESSURE SWING ADSORPTION                 DYNAMIC MODELING OF A PSA SYSTEM                            211
             Table 5.1 J.  Paramelers Used in Comouting the Theoretical Curves m              the  gas  concentration  according  to  tl1e  ideal  gas;  law.  The  temperature
                        Figures 5.14 - 5.16 Showing the Existence of Two                      vanation  in  the  bed  at any  given  point was  20-40°C. The exoeiiments were
                        Different Cyclic Steady States
                                                                                              carried  out  in  small-diameter  columns  (4.1  cm  i.d.) and  therefore  suffered
                                          SA zeolite;i       Activated alumma,.               from  heat  loss  by  wall  conduct10n  and  exchange  with  the  surroundings.
                                                                                              (Under  true  adiabatic  conditions  the  temperature  variat10n  could  reach
                 Feed gas composition     1 % Ethviene m     0.39% Moisture m                 I00°C.)  In  some  studies  they  replaced  the  LDF  rate  equation  with  more
                                            helium             ..,                            detailed diffusion  models.  In  the  mtroctuctory  sect10n  of this  chapter  it was
                 Particle diameter (mm)   0.7                4-5
                 Bed length (cm)          35.0                100.0                           oOmted out that m an eouilibrium-controlled separation the detailed form of
                 Bed radius, i.d. (cm)    1.75                !0.0                            the  kinetic  model  1s  of only  secondary  importance.  This  1s  also  true  in  the
                         o.d. (cm)        2.1
                 B_ed voidage             0.4                0.4
                 Feed temperature (K)     298.0 (ambient)    303.0 (ambient)                                          I  I
                             1                   4                                                                                   I  I
                 G11s  density (g/cm· )    1.5  X  10- (1  atm)   1.2  X  10-·-• (1  a1m)
                 Adsorbt:nt densttY (g/cm·')   1.14'          1.2
                 Heal of adsorption (cul/mol)   -8000.0J      - 12404.0                                                              I ---+--
                 Gas heat capaci1v (caljg °C)   1.2376        0.238
                 Adsorbent heat
                  capacnv (caljg "C)       0.206"             0.3
                 Heat transfer coefficient
                        2
                  (cal/cm s °C)            0.0                0.0                                                                                B
                 Effoct1ve ·axial thermal   Deduced from
                  conductivity of fluid     analogy of mass
                  (cal/cnt s °C)            and heat transfer   0.0018
                 Adsorpl!On pressure (atm)   3.0              5.0
                 B\owdown/purge
                  pressure (atm)           1.36               1.0                                        10
                                                               6
                 Peclet number             110"               10 (plug flow)                             o,1-.)_ __ _j ____ -J-_ji::=:::::::_
                 L/VoH ratio (s)           5.91               4.0                                                                               C
                 Purge to foed veloc1tv ratio   1.54          2.0
                 f/o/co                    837.W              8993.16                                    '
                 ffo/q,                    0.92"              0.0 (linear)                               2   -----
                                                                                                           /
                 LDP mass transfer                                                                                                   l1v,---v
                            1
                   coefficient (s- )                                                                       I   II          III
                    high pressure          0.19"              2.78  X  10-  4                            ol-1-----+---------,---t-----;
                    low pressure           O.IW               l.3Q  X   I 0-· _,
                 Adsorption/purge time (s)   80.0             540.0
                 Pressunzat,on/blowdown                                                                                              I  I
                   time (s}                20.0               140.0
                                                                                                                                     ,  I
                                                                                                         10
                Heat capucuv  and thermnl ccmductivity of steel were  used to account  for the wall  effec1.
              "  C-hiharn  and Su:i:uki. 4   ·
                Ru1hven et  al.'"  4                                                                      0            '            10
              J   Farooq  and  Ruthven."]                                                                                   TIME.  ■ 11
                        10
                Hassan et al.
                                                                                                                             ( a)
              time.  Convergence  to  cyclic  steady state  may  be very  slow  under  adiabatic   Figure 5.13  (a) Steady-state temperature-tune histones measured at three locations
              conditions, reqmrmg m some cases up to 100 cycles. A more detailed account      (feed  end A,  middle  B,  and product end  C)  for  the equilibrium controlled  PSA  bulk
              of nomsothermal PSA simulation is given m Ref.  19.                             separation  of  an  eammoiar  H -CO  mixture  on  activated  carbon  m  a  smgle  bed,
                                                                                                                      2
                                                                                              five-step  cycle  (I-Vindicate pressurat1on,  adsorpat1on,  cocurrent blowdown, counter-
                 Yang and  co-workers  used s1inilar  nonisothermai  models to study several   current blowdown and ourge). --, experimental,---, numencallv solved equilibrium
              eauilibnum-controlled  separation  processes  (see Table 5.1).  They  neglected   model (eqmvalent to LDF model with large mass  transfer coefficients. (From Cen and
              the  axial  thermal conctuct1on  but considerect the  temperature ctepenctence of   Yang 15 ,  with  permissioo.)
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