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300  MIXING AND  AGITATION






                     .
                     a"
                     a





                                      Q x  102
                                      NDI
                                                                                        X  = ( P / V)( d/0)'.85

                   (3                                                Figure  10.12.  Relation  between  power  input,  P/V HP/1000 gal,
                                                                     superficial  liquid  velocity  u,ft/sec,  ratio  of  impeller  and  tank
                                                                     diameters,  d/D, and  superficial gas velocity  us ft/sec.  [Hicks and
                                                                     Gates, Chem. Eng., 141-148  (19 July  1976)l.
                       %                                             have  its  own  feed  nozzle,  as  in  Figure  10.13(b), but  usually the
                    *

                    0.0                                              streams  may  be  combined  externally near  the  blender  and  then
                           a                                             One manufacturer gives these power ratings:
                                                                     given the works, as in Figure 10.13(a).

                                                                                Tanksize (gal)
                                                                                Motor HP    1    5   10   30
                                                                                                     2
                                                                                                         3
                                                                                                 1
                                                                                            0.5
                    0.1
                                                                     Another ties in the line and motor sizes:
                                                                                 Line size, (in.)   1-4   6-8   10-12
                    0. a                                                         Motor HP    0.5   1    2
                                                                     But above viscosities of  1OcP a body one size larger than the line
                                                                      size is recommended.
                                                                         Other devices utilize the energy of  the flowing fluid to do the
                                                                     mixing. They are inserts to the pipeline that force continual changes
                    0.3
                               0.02     0.04      0.06     0.08       of  direction  and  mixing.  Loading  a  section of  piping with  tower
                                                      (+)            packing is an example but special assemblies of  greater convenience
                                                                      have been developed, some of  which are shown in Figure 10.14. In
                                         (b)                          each  case  manufacturer's  literature  recommends  the  sizes  and
                                                                      pressure drops needed for particular services.
                  Figure 10.11. Power consumption. (a) Ratio of  power consumptions   The Kenics mixer, Figure 10.14(a), for example, consists of  a
                  of  aerated  and  unaerated  liquids.  Q  is  the  volumetric rate  of  the   succession  of  helical  elements  twisted  alternately  in  opposite
                  gas: (0) glycol; ( X ) ethanol; (V) water. [After Calderbank, Trans.   directions. In laminar flow for instance, the  flow is  split in two  at
                  Inst. Chem. Eng. 36, 443 (1958)l. (b) Ratio of power consumptions   each  element  so  that  after  n  elements  the  number  of  striations
                  of  aerated and unaerated liquids at low values of  Q/Nd3. Six-bladed   becomes 2". The effect of  this geometrical progression is illustrated
                  disk turbine:  (0) water; (a) methanol (10%); (A) ethylene glycol   in Figure 10.14(b) and points out how effective the mixing becomes
                  (8%); (A) glycerol (40%); P, = gassed power input; P = ungassed   after only a few elements. The Reynolds number in a corresponding
                  power  input;  Q = gas  flow  rate; N = agitator  speed;  d = agitator-   empty pipe  is  the  major  discriminant for  the  size  of  mixer,  one
                  impeller diameter. [Luong and Volesky, AIChE J. 25,  893 (1979)l.
                                                                      manufacturer's recommendations being
                                                                                   4,        Number of Elements
                  10.7.  IN-LINE BLENDERS AND  MIXERS                           Less than 10       24
                                                                                10-2000           12-18
                  When  long  residence time  is not  needed  for  chemical reaction  or   More than 2000   6
                  other purposes, small highly powered tank mixers may be suitable,
                  with  energy inputs  measured  in  HP/gal  rather  than  HP/1000 gal.   Besides liquid blending applications, static mixers have  been
                  They bring together several streams continuously for a short contact   used for mixing gases, pH control, dispersion of  gases into liquids,
                  time  (at  most  a  second or  two)  and  may  be  used  whenever  the   and dispersion of  dyes and solids in viscous liquids. They have the
                  effluent remains naturally blended for a sufficiently long time, that   advantages of  small size, ease of  operation,  and relatively low cost.
                  is, when a true solution is formed or a stable emulsion-like mixture.   The  strong  mixing  effect enhances the  rate  of  heat  transfer  from
                  When it is essential that the mixing be immediate each stream will   viscous  streams.  Complete  heat  exchangers  are  built  with  such
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