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294  MIXING AND  AGITATION
                TABLE 10.2. Agitation Results Corresponding to Specific Superficial Velocities
                   ft/sec                 Description                  ft/sec                Description
                Liquid Systems                                                 c. suspend all solids with the design settling velocity
                   0.1-0.2   low degree of agitation;  a velocity of 0.2 ft/sec will   completely off  the bottom of the vessel
                            a.  blend miscible liquids to uniformity when specific   d. provide slurry uniformity to at least one-third of the
                           gravity differences are less than 0.1               liquid level
                           b. blend miscible liquids to uniformity if the ratio of   e. be suitable for slurry drawoff at low exit nozzle
                           viscosities is less than 100                        locations
                           c. establish liquid movement throughout the vessel   0.6-0.8   when uniform solids distribution must be approached; a
                            d. produce a flat but moving surface             velocity of 0.6 ft/sec will
                   0.3-0.6   characteristic of most agitation used in chemical   f. provide uniform distribution to within 95% of liquid
                          processing; a velocity of 0.6ft/sec  will            level
                           e. blend miscible liquids to uniformity if the specific   g. be suitable for slurry drawoff up to 80% of liquid
                           gravity differences are less than 0.6               level
                           f.  blend miscible liquids to uniformity if the ratio of   0.9-1  .o   when the maximum feasible uniformity is needed. A
                           viscosities is less than 10,000                    velocity of 0.9 ft/sec will
                           g. suspend trace solids (less than 2%) with settling   h. provide slurry uniformity to 98% of the liquid level
                           rates of 2-4ft/min                                  i. be suitable for slurry drawoff by means of overflow
                           h. produce surface rippling at low viscosities
                   0.7-1.0   high degree of agitation;  a velocity of l.Oft/sec  will   Gas Dispersion
                           i. blend miscible liquids to uniformity if the specific   0.1-0.2   used when degree of dispersion is not critical to the
                           gravity differences are less than 1.0              process; a velocity of 0.2 ft/sec will
                           j. blend miscible liquids to uniformity if the ratio of   a. provide nonflooded impeller conditions for coarse
                           viscosities is less than 100,000                    dispersion
                           k. suspend trace solids (less than 2%) with settling   b. be typical of situations that are not mass transfer
                           rates of 4-6  ft/min                                limited
                            I. produce surging surface at low viscosities   0.3-0.5   used where moderate degree of dispersion is needed; a
                                                                              velocity of 0.5 ft/sec will
                Solids Suspension                                              c. drive fine bubbles completely to the wall of the
                   0.1-0.2   minimal solids suspension; a velocity of 0.1 ft/sec will   vessel
                            a. produce motion of all solids with the design settling   d.  provide recirculation of dispersed bubbles back into
                           velocity                                            the impeller
                            b. move fillets of solids on the tank bottom and   0.6-1.0   used where rapid mass transfer is needed; a velocity of
                            suspend them intermittently                       1 .O ft/sec will
                   0.3-0.5   characteristic of most applications of solids suspension   e.  maximize interfacial area and recirculation of
                          and dissolution;  a velocity of 0.3 ft/sec will      dispersed bubbles through the impeller

                   [Chemineer,  Co. Staff,  Chem. Eng., 102-110  (26 April 1976); 144-150  (24 May 1976); 141-148  (19 July 1976)l.







                                                                                     Na      &e      Na
                   EXAMPLE 10.2                                      d/D   d    N   [Eq. (111   [Eq.(2)1   (Fig. 10.7)  Np  P(HP)
                   Effects of the Ratios of Impeller and Tank Diameters
                Power  and  rpm  requirements  will  be  investigated and  compared   0.25   28.4  300   0.637   518   0.64   1.4   45.9
                with the  data  of  Table  10.3. The  superficial velocity is 0.6ft/sec,   0.33   37.5   145   0.573   436   0.57   1.45  21.5
                V = 5000 gals, Sp Gr = 1.0. Viscosities of  100 CP and 5000 CP will be   0.50   56.8   52   0.460   359   0.45   1.5   8.2
                considered.                                            With p  = 100 cP, turbulence is fully developed.
                   With h/D = 1, D = h = 9.47 ft,                                                   Na
                                                                        d/D   d    N   4     &,   (Fig. 10.7)  Np  P
                   pumping rate Q = 0.6(~/4)(9.47)’= 42.23 cfs,         0.25   28.4   228   0.839   18,990   0.84   1.3  18.7
                   N, = l.037(10s)Q/Nd3 = 4.3793/Nd3          (1)       0.33   37.5   112  0.742   16,850   0.74   1.3  8.9
                   NRe = 10.7NdzS/p = 0.00214Nd2,  p = 5000,   (2)      0.50   56.8   40   0.597   13,800   0.60   1.3  3.2
                    P = NpN3dsS/l. 523( 1013),                (3)   Table 10.3 gives these combinations of  HP/rpm as suitable: 25/125,
                                                                    20/100,  10/56, 7.5137.  The combination 10156 checks roughly the
                N, from Figure 10.6.                                last  entry  at  5000cP.  Table  10.3 also  has  data  for  viscosities of
                   For  several  choices  of  d/D,  solve  Eqs.  (1)  and  (2)   25,000 cP,  thus  allowing  for  interpolation  and  possibly  extra-
                simultaneously with Figure 10.7. With p = 5000 cP;   polation.
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