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                  3.7 Three-Phase Fixed Beds: Trickle-Bed and Ped Bubble-Bed Reactors ack  181


                                  1


                                 0.8


                                 0.6

                                w
                               f
                                 0.4
                                                        5 ) fw ( mm, 1 g/ml, 1cP
                                                        1 fw (0 mm, 1 g/l, 1cP m )
                                 0.2
                                                        1 m ) fw (0 mm, 2 g/l, 1 cP
                                                        m fw (10 mm, 2 g/l, 0.5 cP )
                                  0
                                   0.1      1        10      100    1000
                                                       Re  L
                  Figure 3.48  The effect of particle size, liquid density and liquid dynamic viscosity on wetting
                              ,
                  efficiency.

                    In Figure 3.49, the minimum liquid superficial velocity versus particle size in order to
                  have a wetting efficiency higher than 90% for water as liquid phase at 25 °C is presented.
                    For the typical case of water systems used in environmental applications, e.g. remo v al
                  of SO  2  from gas streams, the minimum superficial velocity of water for a wetting ef f i-
                  ciency higher than 90% v.s. can be correlated to particle size as follo ws:

                                                u   0.141  d  0.486                 (3.413)
                                                s       p
                  where   u is in cm/s and   d  p  is in mm.  At high pressure, the correlation reported by
                         s
                  Al-Dahhan   et al  . (1995) can be used (W 1996): u,
                                                    1[    PZ) (   g)]       19
                                                      (
                                      f   1.104    Re  13      L                  (3.414)
                                       w        L
                                                         Ga  L    
                    The Reynolds number is based on superficial velocity and SI units are used. Another
                  correlation is that of Bur ghardt   et al  . (1995):


                                        f   3.38    Re  0.222  Re  Ga  0.083       *     0.512    (3.415)
                                         w       L     G      L
                  where
                                                     d  p
                                          Ga  *               Ga    13              (3.416)
                                            L     2  2   13
                                                 
   L  (     L  g )  
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