Page 161 - Pressure Swing Adsorption
P. 161

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              136                                   PRESSURE SWING ADSORPTION                EQUILIBRIUM THEORY                                          137

                          1.0                                                                              100
                                X=FRACTION  PURGE                                                                       N    '   '-+I  -.;1  N- N--'-

                                                                                                            95  -    ,,                   0      -
                          0.8                                                                                             -   --€>  -
                     >-                                                                                                             au- 0
                     "'                                                                                     90  -             -- --- ---
                                                                                                                                      GAS
                                                                                                                               SYMBOL
                     w
                                                                                                                                           SOURCE
                     >
                                                                                                                                           Collin"
                     8    0.6                                                                                                   0  N   Oxygen   Collins
                                                                                                                                     Nitrogen
                     w                                                                                "                         0    Oxygen   Sircor
                                                                                                                                           Sircar
                                                                                                                                     Nifrogeri
                     "'                                                                               >- ,_   BS  -        I    "                -
                      z                             4-STEP  PSA                                       oc
                      w
                      C)                                                                              "'
                                                                                                      n.
                      >-
                      x                                                                                                   ~
                      0                                                                                     80  -                                -
                           0.2
                                                                                                            75  -                                -
                                                1 0              1 0                                           40    50    60    70   80    90   100
                           0.0  1 0 0               1                2                                      70       '     '    I     '     '
                                            fp   =PH/PL                                                                     RECOVERY
                                             /a)                                             Figure 4.15  Recovenes and  purities of oxygen  and  nitrogen:from  air,  comparing the
                                                                                                             12
                                                                                             present five-step  cycie  with  a similar cycle  proposed by Sircar.  22
                            i.O
                                  X=FRACTION  PURGEO                                         the  Reynolds  number  m  the  bed.  Finally,  across  the  spectrum  of ootentiai
                                                                                             PSA applicatwns the mtrus1on of heat effects can be  expected to vary widely.
                           0.8                                                               Such  effects  may  be  either  benefictal  or  detrimental,  as  discussed  m  Sec-
                                                                                             tion 4.8.
                      >-
                      "'
                      w
                       >
                       0
                       u    0.6
                       w                                                            [        4.6  Model Comparison
                      "'
                       z                                                            '
                       w                                                                     This section  examines  the salient  features  of four  distinct  local  eauilibnum-
                       C)                                                           I
                       0    0.4                                                              basect  models  that  have  been  developed  over  the  past  severai  vears.  In
                       ,_
                       "'
                       z                                                            I        general,  it 1s  fau  to  say  that  the  obv10us  differences  between  these  models
                                                                                             are,  remarkably,  not  in  the final  eouatmns.  Rather the differences lie  in  the
                            0.2                                                              allowable  values  of  certain  variables,  which  affect  the  parameters  of  the
                                         I                                          I        models. The onginal derivations contamed subtle· assumptions  that imposed
                            0.0  1 oo            1 0  1           1 0  2                     tight restrictions on the parameters. Thus, 1t  was not merely an oversight that
                                                                                             larger ranges of the parameters were  not examined.
                                                        p                           t
                                             fp  =  PH  /  .L                                  4.6.1  Four-Step PSA Cycie:  Pressurization with Product
                                                                                    i        The  first  and  simplest  model,  that  of  Shendalman  and  Mitchell,  can  be
                                              {b)                                                                                                    2
               Figm·e 4.14  Recovenes of (a) oxygen and (b) mtrogen from  air, for  a five-step cycle,   ·applied to the PSA cycle shown  m Figure 4.1, and the resultmg eauallon for
               with  an  incomplete purge step. 12                                           recovery can be expressed in  the same  form  as Eq. 4.27. This model assumes
                                                                                    f        that the more strongly adsorbed component 1s a trace contammant and that it
                                                                                    [
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