Page 168 - Adsorption Technology & Design, Elsevier (1998)
P. 168

156  Design procedures


            Table 6.3  Summary of available numerical solutions for breakthrough curves in
            isothermal systems with plug flow or axially dispersed flow and Freundlich, Langmuir
            or other non-linear isotherms
                     i    ,,,                     ,   ,
            Rate Expression   Equilibrium    Flow model       Source
                              model


            Fluid film       General         Plug             Chi and Wasan
                                                                (1970)
            Combined         General         Plug             Acrivos (1956)
              resistances
            Fluid film                       Plug             Zwiebel et al.
                                                                (1972)
            Solid film       Langmuir        Plug             Garg and Ruthven
                                                                (1973)
            External + solid   Freundlich     Plug            Tien and Thodos
              films                                             (1959)
            Solid diffusion   Langmuir        Plug            Antonson and
                                                                Dranoff (1969)
            Solid diffusion   Langmuir        Plug            Garg and Ruthven
                                                                (1973,1974a)
            Solid diffusion   Freundlich      Plug            Kyte (1973)
            Pore diffusion   Langmuir         Plug            Carter and Husain
                                                                (1972)
            Pore diffusion   Langmuir         Plug axially    Garg and Ruthven
              external +     4th order        dispersed         (1974b)
              micropore      polynomial                       Lee and Weber
                                                                (1969)
            External +       Freundlich       Plug            Moon and Lee
              micropore      (multicomponent)                   (1986)
            External +       Empirical        Axially dispersed   Liapis and Rippin
              micropore      (binary)                           (1978)
            Micropore        Empirical        Axially dispersed   Balzli et al. (1978)
                             (multicomponent)




            trivial.  In  such  cases  it  would  be  possible  to  assume  isothermal  operation
            since the concentrations  of all the  adsorbing components  would be low. In
            contrast,  systems  comprising  high  adsorbate  concentrations  would  in-
            evitably result in each individual isotherm being affected by the presence of
            the  other  components,  as  well  as  by  the  temperature.  Indeed,  if  the
            concentrations and heats of adsorption are significant, then the temperature
            rises inside a packed bed may become large and it is then necessary to couple
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