Page 353 - APPLIED PROCESS DESIGN FOR CHEMICAL AND PETROCHEMICAL PLANTS, Volume 1, 3rd Edition
P. 353

Mixing of Liquids                                      321


              Read closest motor hp  =  20.  However,  the 0.5  hp differ-   Baffles
            ence between the  19.5 and 20  may  not be sufficient to han-
            dle the power loss in the gear box.  Most industrial practice is   Vertical  side-wall  baffles  (Figures  5-23B  and  C  and  5-
            to  take  the closest standard  motor hp  to  the  22.9  hp deter-   34)  projecting about Xo  to Yi2  of' the tank diameter into the
            mined above, which is 25 hp. The gear box must have an out-   vessel  perform  a  helpful  purpose  in  controlling  vortex
            put speed of 90 rpm and will use only the hp determined by   action.  The  baffles  are  set  off from  the  tank wall  a  few
            the impeller shaft even if the motor is larger,  that is, 25 hp. It   inches to prevent build-up of particles.
            will  only  put  out the  net hp  required,  that is,  the  sum  of   The important dimensional  features and/ or ratios for
            impeller shaft and losses through the gear box.       a center-mounted mixer unit (vertical)  are  [29,  30]:
              Referring to Table 5-3 for turbulent,  baffled systems,  if
            power  is  held  constant  and  the  system  has  too  large  a   1. Flat bottom tank
            shear characteristic and apparently too small a volume or   a.  Number of vertical  baffles in a vertical vessel:  four
            flow,  the  impeller  can  be  increased  20%  and  the  new   (more  than four provides little,  if any,  benefit)
            speed at constant Power,  P,  will be:                    b.  Width of' baffles:  Yio  to Yi2  tank diameter,  w
                                                                      c.  Distance baffles off wall,  cl:  3  in.  to 6 in.
                                                        ( 5 - 65)     d.  Baffle spacing:  on 90°  around tank
                                                                      e.  Distance  of baffles  off flat vessel  bottom:  4  in.  to
                                                                        6  in., b
              N     [  D  ys13                                        f.  Height of liquid in tank:  Z
                1      1  I                             (5- 66)
              N2  =  D2  )                                            g.  Height  of impeller  off flat bottom:  IC.,  equal  to
                                                                        impeller  (turbine)  diameter,  or  IC  =  D;  some-
                                                                        times IC  =  %  D  is suggested
                     ( D2   )-5/3   ( l  2  ys13
               N  = N  -      =  N   l-"-J   =  0. 738  (N  )   (5- 67)   h.  Liquid depth over top of impeller or turbine:  Z-C
                2    I   DI      l  1.0            l                    shouid be 2D
                                                                       i.  Baffles extend above liquid level
            (Use Table 5-4 for viscous  systems.)                   2.  Dished bottom tank,  center mounted mixer, 4 baffles
            or the new  speed will be  73.8%  of the original,  using the   a.  Essentially same criteria as for flat bottom tank
            20%  larger diameter impeller.  This  is  true for geometri-   b.  Impeller distance off bottom:  essentially  same ref
            cally similar systems. However,  there is little power change   erenced to vessel tangent  line as for flat bottom vessel
            over a wide ratio of impeller-to-tank diameter.         3.  Cone  bottom  tank.  Handle  as  for  dished  bottom
              For a constant amount of  power available to a system,  the   above.
            flow  and  turbulence  effects  and  ratios  can  be  changed by   4.  For fluids with viscosity up to 5000  cp,  and even up
            replacing one impeller by another dimensionally similar.  Fig-   to  30,000  cp  for some  situations,  use  standard  baf-
            ures 5-29 and 5-30 illustrate the type of studies which should   fles  described  above.  The  baffle  widths  can  be
            be made in evaluating a system. If the density or viscosity of   reduced  as  the viscosity  increases from  5,000  cp  Lo
            a fluid changes during scale-up,  then in the turbulent range   12,000  cp.  [30], and  may be eliminated  completely
            the horsepower is directly proportional to density,  and thus   for viscosities over 12,000  cp.  There are exceptions,
            viscosity has very little effect.  In viscous flow the density has   such as mixing wide range of fluids of low and high
            no  effect while  the  horsepower is  proportional  to  viscosity   viscosities.
            [8]. The  effect is  small  in  the  range  from  1  to  1000  cen-   5.  Special baffles. For certain mixing problems, various
            tipoise,  but amounts  to a factor of 1.4 when changing from   baffling arrangements have been found to be advan-
            1000  to  10,000  centipoise.  Above  this  point the  change  is   tageous  (see Reference  [30]).
            quite iarge and should not be handled by proportion.    6.  Baffles  can  be  omitted  when  propeller  mixers  are
              Figure  5-28  summarizes  the  scale-up  relationships  for   top  mounted  at an  angular off-center position  (see
            many  of  the  important  and  controlling  functions,    Figure  5-23D)  and vortex swirling is prevented.  This
            depending  upon  the  nature  of the  process  equipment.   is  not  recommended  for  large  power  systems  on
            The figure  identifies which curves apply  to  turbulent (T)   large tanks,  due to shaft fatigue.
            ano laminar (L)  flow patterns  in the fluids being subject-
            ed  to  the  mixing  operation.  Note  that the  Froude  num-   Baffles that extend from the liquid levei down, but not
            ber,  � Fr  is  a  function.  This  scale-up  chart applies  to  sys-   to, the tank bottom allow heavy swirling action in the bot-
            tems of similar geometry.  When the geometry is different,   tom  of the  tank,  but no vortex  at  the  top.  W11en  baffles
            special  and specific  analysis  of the system must be  made,   extend  from  the  bottom  up,  but not to  the  liquid  level,
            as the chart will  not apply.                         some vortex and swirling action will take place at the top.
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