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                  3.3 T Reactors o-Phase Agitated  w            95


                  These losses are from the loss of usable energy in the form of work through the motor ,
                  shaft gearing, and bearings, and could be as high as 20–30%.  The agitation intensity could
                    e,
                    v
                  be characterized as mild, vigorous, and intensi depending on the power deliered per v
                  unit volume of liquid. For w the approximate values are presented in T , ater  able 3.2.
                    The discharge rate has been measured for seeral types of impellers, and discharge co- v
                  efficients have been calculated (Perry and Green, 1999). For turbines,  N  Q  ranges from 0.7
                  to 2.9, depending on the impeller geometrical characteristics. F or a standard flat blade tur-
                  -blade 45° turbine and a baf- bine (Ruhston) in a baffled vessel, this v or a four alue is 1.3. F
                  essel,
                       essel,
                  fled v this value is 0.87, and for marine propellers and a baffled v it is 0.5
                  (McCabe   et al  ., 1993). More specif for the typical case of six-bladed turbines
                                ically
                                ,
                  (Ruhston), the following approximation can be used (Perry and Green, 1999):
                                                         D  T
                                                N  Q  0.93                          (3.109)
                                                         D  a
                  where   D  T  is the tank diameter in m. Power number   N  p  ranges from 0.35 to 7, depending
                  on the impeller type, its geometrical characteristics, and v ery essel design.  This number is v
                  important since it is needed for the evaluation of power consumption, which in turn, is used
                  for the determination of mass transfer coefThe geometry of the agitation system icients.  f
                  plays a critical role. The typical geometrical ratios are presented in T able 3.3.
                    In Figure 3.23, the various dimensions are presented.
                    Baffles are frequently arranged with a   clearance  , which may be half the baffle width,
                  between the baffle and the tank wall to preent accumulation of solids behind the baf v  fles
                  (Treybal, 1980).
                    The height of the impeller above vessel floor is frequently called “clearance,” and is the
                  distance between the vessel bottom and the impeller   centerline  . On the other hand,  C  b  is
                  the distance from the bottom to the bottom of the impeller. The relationship between these
                  two parameters is

                                                         W
                                                 Z  C                               (3.110)
                                                  a   b
                                                          2
                    In Table 3.4, the power number is presented for se eral cases. v
                    The values of   N  P  are approximate. At low Reynolds numbers, about 300, the po wer
                  number curves for baffled and unbaffled tanks are identical (McCabe   et al  ., 1993). F or
                  higher N  Re  , the po fled tanks is lower than the values for baffled tanks.  wer number for unbaf


                                                  Table 3.2

                                    Agitation intensity versus poolume for w wer/v ater
                                Agitation           Power/volume (kW/m     3  )
                                Mild                   0.09–0.17
                                Vigorous            0.34–0.51
                                Intensive           0.68–1.69
   94   95   96   97   98   99   100   101   102   103   104