Page 258 - Adsorption Technology & Design, Elsevier (1998)
P. 258

Selected adsorption processes  233


            where t is the time allowed for adsorption in the cycle (equal to desorption)
            and k is the mass transfer coefficient for adsorption and desorption.  Figure
            7.21  illustrates  how  this  function  behaves  with  increasing  value  of  t  for
            different values of k. It is apparent that, on the one hand, for an adsorption
            without mass transfer limitation (k = ~) the net rate of adsorption increases
            to infinity as t approaches zero. On the other hand, there is a limiting value of
            k/4  as  t  approaches  zero  for  finite  values  of  k.  Furthermore,  when  t
            approaches  zero  the  cycle  inefficiency,  11(= 2tR/q*)  also  becomes  zero.
            The conclusion to be drawn from this argument is that rapid cycling between
            the adsorption pressure pA and the desorption pressure pD (<Pg) leads to a
            greater  net  rate  of adsorption  for  a  given  adsorption  capacity  and  better
            cycle efficiency. Although a simple model was used to demonstrate this the
            conclusion is valid for more realistic models of cycles. This has been shown
            to be true using an experimental rapid pressure swing adsorption apparatus
            for the separation of N2 and O2 from air, sketched in Figure 7.22, consisting
            of  two  layers,  A  and  B,  of  the  same  zeolite  adsorbent  separated  by  a
            perforated  screen.  Each  layer  of adsorbent  is subjected  to  two  successive
            steps:










                                                          A
                      I

            Feed Air
                                                          8
                      1





                                                                        Waste
                                                             Oxygen enriched
                                                                 product



            Figure 7.22  Rapid  pressure swing adsorption column containing two  separate
                      adsorbent sections for the production of oxygen-enriched air (source:
                      Sircar and Hanley 1995).
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