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Else_AIEC-INGLE_cH003.qxd  7/13/2006  1:45 PM  Page 131
                  3.5 Agitated Slurry Reactors                     131


                  In mass-transfer correlations, the volumetric mass-transfer coeficient is expressed using f
                  the gas–liquid interfacial area per unit volume of slurry (or expanded column or reactor ,
                  V  R  ) (Koide, 1996; Kantarci   et al  ., 2005; NTIS, 1983):

                                      A  bubbles,tota l  d    2  n  d    2  n  6
                               a  t GL,to          bub       bub  h  G     h  G
                                         V        V        d    3    d         (3.229)
                                          R         G        bub        bub
                                                   h       n  
                                                    G      6  
                                                a  GL,tot  GL L   a h               (3.230)


                  Note that from the correlation of Hikita   et al  . (1981),

                                ka fg GL,tot sG  u
                                              f   k a  fg GL,tot
                                     g
                                                                                    (3.231)
                                             fg            a  GL  fg  a  GL
                                                   ka fg GL,tot
                                             u  sG        a  GL,to t  u  ssG  a  t GL,to
                  or
                                                        fg  1
                                               ka fg GL                             (3.232)
                                                       u  sG  h  L

                  where

                                     u   
   1.76    
 4  g   0.248   
   0.24  3 3    
    0.604
                                                  L
                                                            G
                                                   3 
                              f  14.9     sG  
 L L        
      
         D  L  fg     (3.233)
                                                 L
                                                            L
                                                                     L
                                                  L
                                     3.5 AGITATED SLURRY REACTORS


                  3.5.1 Agitated slurry reactor models

                  In CSTR reactors, both phases are considered to be in complete mixed and continuous-
                  flow condition. In the general case where reactants can be gases and liquids, the follo wing
                  material balances can be applied (for simplicity we consider constant-density systems)
                  (Hopper   et al  ., 2001)
                  v Liquid reactant (nonolatile component) liquid-phase mass balance:

                                      Q  L
                                         C (  L,i  C   L,o  )  k a(  c  C )(  L,o  C  S  )    0     (3.234)
                                                   f
                                      V
                                       L
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