Page 157 - Pressure Swing Adsorption
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             132                                   PRESSURE SWING ADSORPTION              EQUILIBRIUM THEORY                                           133

                                                                                          4.5  Experimental Validation
                            t.O
                            a.a                                                           The  beauty  of  local  eauilibnum  theones  lies  m  their  s1molic1ty  and  the1r
                                                                                          ability to draw attention to the most 1moortant ooeratmg conditions, geomet-
                            Q.6
                          R                                                               ric  oarameters, and  ohys1ca1  oropert1es.  Unless these predictions agree with
                            0.4                                                           reality,  however,  that beauty 1s superfluous. This section reviews some of the
                            0.2                                                           experimental work that has been deliberately aimed at verifying local equilib-
                                                                                           rium theones.
                                                                                             The early expenmental studies appear to have  been conducted as  "black-
                                                                                           box"  studies,  in  which  cycling  freauency,  feect-to~ourge  flow  rate  ratios,
                                                                                           pressures, etc. were vaned systematically. As these parameters were manipu-
                                                               0
                                                                                           lated, the performance (flow rates, product and byproduct purities) and other
                                          ,20
                                                                                          variables  were  monitored.  Compansons  with  theory  were  made  retrospec-
                                                                                           tively.  Perhaos  the  first  comparison  of  this  sort  was  that  of  Mitchell  and
                                            /c)
                                                                                           Shenctalman. 24   The!T application was  the removal of 1 % :CO from  a  helium
                                                                                                                                             2
                                                                                           earner  using  silica  gel.  They  did  not  find  close  corre·spondence  with  their
                             0.10
                                                                                           eauilibrmm  theory; so they mtroduced a  mass transfer resistance to account
                            0.08                                                           for the discrepancy. This modification allowed them to bracket the observed
                            o.06                                                           behavior, but neither model was accurate over the enttre ,range of conditions.
                          R                                                                Flores-Fernandez and  Kenney  25   developed  a  more  broadly  applicable  equ1-
                            0.04
                                                                                           libnum theory, and solved it via finite  differences and a commercial package
                            0.02
                                                                                   I       oxygen  from  air  usmg 5A zeolite,  and  obtamed  fatr  agreement:  within  15%
                                                                                           known  as  CSMP.  They  tested  t.heIT  modei  bv  exveriinentally  separatmg
                                                                                   l       for  the  prediction  of  feed  flows,  and  within  12%  for  the  prediction  of
                                                                                           recovery.
                                                                0                   f        More  recently  a  different  approach  has  been  taken,  which  is  to  build  an
                                           /  4   3                                        expenmental  system  m  such  a  way  that  the  mherent  iassumptions  of  the
                                                  0/o Dead \lo\ome                  '      equilibrium theorv are closely  approached,  then  to operate  it  m such  a  wav
                                                                                    I
                                                                                   I       advantage of exammmg condit10ns that are of most practical interest, as well
                                             /d)                                           that  the  best  possible  performance  is  expected.  This:  approach  has  the
              Figure 4.12  Predicted  recovery  versus  pressure  ratio  and  percent dead volume:  (c)   as usmg the theory as a tool to guide the experiments. Several different cycles
              /J = 0.1.  Ye= 0.9. (d) /J  = 0.9.  Ye= 0.9.  23                      '      have  been evaluated this way,  but to conserve space only three are discussed
               feed is mostly the more strongly adsorbed component (e.g.,  YF = 0.9). In that  I   four-step cycle with combined feed  and cocurrent blowdOwn,  and a  five-step
                                                                                           here. They are:  the four-step  cycie emoloying pressunzation with  product,  a
                                                                                           cycle  incorporating  a  rmse  step  m  order  to  obtain  two ;pure  products.  The
                 In the same vem, another type of difficult PSA separation exists when the
                                                                                           underiymg theory of all  these cycles was discussed  earlier In  this chaoter.
               follows  the  same  trends  as  m  Figure  4.12(b),  even  thOugh  m  this  case  the  l   Section  4.4.1,  which  applies  for  the  four-step  pressunzatton-with-product
                                                                                             The first  test  determmed  the vaiidity of the  theory that was  described  m
               case,  the  loss  of recovery  as  shown  m  Figure 4.12(c),  on  a  fractional  basis.
               adsorbent selectivity  is  large.  Applications that are  difficult  in  both  regards,   cycle, shown m Figure 4.1. The experimental system was a two-bed apparatus
               that is,  they  have  both low adsorbent selecttv1ty and a high level of the more   I   contammg zeolite SA, designed to separate oxygen  from  dry atr (Kayser and
               strongly  adsorbed  component  m  the  feed,  are  extremely  sensitive  to  dead   KnaebeI  20 ).  The  temperature  and  pressures  were  such  that  nearly  linear
               volume,  as  shown in Figure 4.12(d).  In  that case, mereiy 2% dead volume  ls   isotherms  were  expected,  and  the  eou1pment  was  designed  so  that  the
               sufficient to destroy the potential recovery. From these results a rule-of-thumb   '   assumptions cited in  Section 4.1  were valid (including mihtmal  dead volume).
               is  appat'cnt:  the  fractmnal  dead  voiume  that  will  lead  to  nil  recovery  1s:   Six sets of experimental conditions were  tested, and  for  each, the system was
               AplR-o = 0.02/Ye/3-                                                         operated until cyclic steady state was achieved. The pressure ratm range was
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