Page 188 - Pressure Swing Adsorption
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 162   PRESSURE SWING ADSORPTION   EQJJJLIBRJUM THEORY               163
 on  sern1emp1ncai  parameters  that  can  only  be  determined  from  data.  Such   References
 methods  can  lead  to  excellent  designs  when  kinetics  are  fast.  Even  when
 kinetics  are  slow  (though  not  controlling),  such  methods can  predict overall   I   I.  l>.  H.  Tumock  and  R.  H.  Kadlec,  "Separnuon  of  Nitrogen  and  Methane  via  Pem)dic
 performance (e.g., m terms of recovery and byproduct enrichment) very well.   Adsorption,"  A!ChE J.  17,335 0971).
 The  main  and  oerhaos  only  drawback  1s  that.  when  kinetic  constraints  are   2.  L.  H.  Shendalman  and  J.  E.  Mitchell,  ''A  Studv  of  Heatless  Adsorptton  in  the  Model
 imoortant,  1t  becomes  impossible  to estimate product purity reliably.   I   Svstem CO He,  I.," Chem,  Eng.  Sci.  21.  1449-58 (1972).
 Nevertheless,  a  vanety  of  aspects  of  PSA  operation  can  be  taken  mto
 account  by  equilibrium-based  theories.  Some  that  are  illustrated  in  this   3.  Y.  N.  I.  Chan,  F.  B.  Hill,  and  Y.  W.  Wong,  "Equilibrium  Theorv  of a  Pressure  Swing
           Adsorpuon  Process,"  Chem.  Eng.  Sci.  36. 243-51  (1981).
 chapter  are:  a  variety  of cycle  and  step  options,  wide  ranges  of operating
 conditions,  isotherm  nonlineanty,  heat  effects.  and  deadzones  m  PSA   4.  J.C. Kavser  and  K.  S.  Knaebel, "Pressure Swing  Adsorption:  Development of an  Equdih-
           rium Theory for  Binary Gas Mix1ures  with  Nonlinear  Isotherms,"'  Chem.  Eng.  Ser.  44,  i -H
 columns.  In  several  instances, the simple  theories  have  been verified  experi-
           (1989).
 mentally,  so there is  little  doubt  as to their reliability when  the  assumotions
 are  reasonably valid.   5.  D.  J.  Bait,  M.S.Ch.E. Thesis, Ohio State  Urnversny,  Columbus. OH,  ! 986.
 Chilton  once said, "The simpler  things become  m  a  01ece  of research  or   6.  C. W.  Skarstrom, "Use of Phenomena  m Automatic Plant Type Gas Analvzers,"  Ann.  N.Y.
 devekmment,  the closer one  has come  to  the  truth."  Pigford  added  to  that,   Acad. Sci.  72,  751-63 (1959).
 "The  simpler  an  exolanation  IS,  the  more  widely  it  will  be  understood,
         7.  M. J.  Matz and  K.  S.  Knaebel, "Pressure Swing Adsorptmn:  Effects  of Incomplete  Purge."'
 appreciated, and used. "  42   In pressure swing adsorption ;systems,  it 1s  impossi-  A/Ch£ J. 34(9),  1486-92 (1988).
 ble  to  achieve  greater simplicity  than  1ocai  eouilibrium  models  provide  and
         8.  P.  C.  Wankat,  "Feed-Purge Cycles  m  Pressure  Swmg  Adsorpt1bn,"  Separ.  Sci.  and  Tech.
 still  retam  fundamental  understanding  of  the  process.  Whether  the  model   (submitted  I 992).
 ore<lict1ons  are  close  to the truth or not  depends on  the extent  to which  the
         9.  I.  Rousar  and  P.  Ditl,  "Pressure  Swing  Adsorption:  AnaiytiCal  Soluuon  for  Op11mum
 assumptions  arc valid.  For  all  lhat,  tt  1s  seldom  possible  to  improve  perfor-
           Purge," Chem.  Enx.  Sci. (suhm11ted  1992).
 mance  beyond  the  caoability  predicted  by  an  eauilibnum  model  because
 dissipative  effects  nearly  always  diminish  performance.  Hence,  striving  to   10.  J.C. Kayser and  K.  S .. Knaebei,  "Integrated Steps  m  Pressure  Swing  Adsorpt10n  Cvc!es,"
           Chem,  Eng.  Sci.  44,  3015-22 (1988).
 confonn to those assumptions can be worthwhile, not oniy because 1t  will  be
 possible to predict performance accurately and simply,  but, more  important,   11.  S.-S.  Suh  and  P.  C.  Wankat,  "Combined  Cocurrent-Countercurrem  Blowdown  Cvcle  in
           Pressure Swmg Adsorption," A/Ch£ J.  35,  523-26 (1989).
 because  performance  will  be  superior.  Whether  modeling  via  the  local
 eauilibrium approach can  be  "understood,  appreciated,  and  used"  depends   12.  J.  E.  Collins  and  K.  S.  Knaebel,  Paper  presemed  ar  the  AIChE  Annual  Meetmg.  San
 mamiy on whether the implied superior PSA performance can be achieved in   Francisco,  CA (1989).
 real applications.   13.  K.  S.  Knaebel and  F.  B.  Hill, "Pressure Swrng Adsorption:  Development ot an  Equilibrium
 Future  efforts should  be  directed  towards  a  unified  treatment of eauilib-  Theory for Gas Separations,'.'  Chem.  Eng.  Sci.  40,  2351-60 (1985).
 rium  based  separat10ns  accounting  for  the several  diverse  factors  that  until   14.  J.  L.  Wagner, "Sc:lect1ve  Adsorptron  Process,"  U.S.  Patent No.  3,430,418 (1969).
 now  have  been  accounted  for  separateiy.  An  examole would  be  to account
        15.  P. C. Wankat,  Large Scale Adsorptmn and Chromatography,  I, CRC Press. Boca Raton, FL.,
 for  the  effCds ·of·nonline'ar  isotherms  on  seauential  pressurization  by  feed
           95  (/986).
 and feed steps. Another facet to examme 1s the coupling of isotherms, since 1t
 1s  widely observed that the light comoonent adsorbs prooortmnately iess in  a   16.  R.  T.  Yang  and  S.  J.  Doong,  "Gas  Separation  bv  Pressure  Swmg  Adsorption:  A  Pore
           Diffusion  Model  for  Bulk Separation,"  A/Ch£ J.  31,  1829-42 (1985).
 mixture  than the amount due to uptake of the heavy component. This effect
 would tend to improve PSA performance, and might partially compensate for   17.  S.  J.  Doong  and  R.  T.  Yang,  "Bulk  Separation  of  Multicon·1ponent  Gas  Mixmres  bv
 the effects of being nearly adiabatic (which is ohysically realistic), as opposed   Pressure  Swmg  Adsorption:  Pore/Surface  Diffusion  and  Equilibrium  Models,''  A/Ch£ J.
           32, 397-410 (1986).
 to  the  assumed  isothermal  condition  of  the  adsorbent  bect.  Furthermore,
 experimental work could be done to validate the combined effects, to analyze   18.  R. T.  Yang, Gas Separatwn by Adsorption Processes,  Butterwonhs, Boston, MA. 328 (I 987).
 cycles of more complex steps, and to account for a wider variety of properties   -f   19.  N. F._  Kirkby and C.  N.  Kenney, "The Roie of Process Steps m Pressure Swing Adsorption,"
 and conditions.  One example would  be  to generalize the  dependence of the   Fimdam.  of ,.4dsorptwn,  Engng. Foundation; New York, 325  (1987).
 observed  "effective"  separatmn  capacity  of  an  adsorbent,  especially  with
        20,  J.  C.  Kayser  and  K.  S.  Knaebel,  "Pressure  Swing  /\dsorphon:  Exper1ment<1l  Study  ot  an
 respect to fiow  conditions, as alluded to in  Figure 4.3.   Equilibrium Theory," Chem.  Hnf!,.  Sci. 41.  2931-38 (1986).
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