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MIXING EQUIPMENT    193

                                                                   . Summarize selection of solids mixing equipment for
                                                                    different applications.
                                                                     & Table 6.11 gives a summary of mixing action and
                                                                       applications for different types of mixers.
                                                                   . What is the minimum agitator speed to keep solids
                                                                    under suspension in a vessel? What other considerations
                                                                    influence the settling process?
                                                                     & The most common method for estimating the
                                                                       minimum suspension condition is the following
                                                                       Zwietering correlation for the minimum agitator
                                                                       speed:

                                                                                    a 0:2 0:1
                                                                     N min ¼CðD T =D A Þ d  m ðgDrÞ 0:45 W 0:13 =r 0:55 D 0:85 ;
                                                                                      p  l          s    l   A
                                                                                                           ð6:13Þ
             FIGURE 6.21 Viscosity ranges for different types of mixers.
                                                                       where D A is the impeller diameter (m), D T is the
                                                                       tank diameter (m), d p is the particle diameter (m),
                                                                       W s is the ratio of weight of solids to weight of
                  work well and quickly with all sorts of mixtures,                                      3
                                                                       liquid (%), r l is the liquid density (kg/m ), Dr is
                  including particles of dissimilar size, shape, and
                                                                       the density difference between solids and liquid
                  specific gravity. And unlike mechanical blending,          3
                                                                       (kg/m ), m l is the liquid viscosity (Pa s), g is the
                  sonic devices are more efficient with dense powders                         2
                                                                       gravitational constant (m/s ), and C and a depend
                  than with fluffy materials.
                                                                       on the characteristics of the agitator. For propeller,
                & The technology has its limitations, the most obvious
                                                                       turbine, and flat blade agitators, C and a are 1.4
                  being a capacity limit of 200 L.                     and 1.5, respectively.
                & Sonic blending also does not work well with moist-
                                                                     & Dished tank bottoms and baffles help prevent set-
                  ened blends, probably because of sonic damping by    tling in cylindrical tanks. Baffles impart a high
                  water.
                                                                       vertical component of velocity and help eliminate
              . Summarize, graphically, selection of mixers based on   dead zones. If baffles are undesirable due to slime
                viscosity ranges.                                      buildup or other reasons, the agitator should be
                & Figure 6.21 gives a graphical representation of      offset and mounted at an angle to reduce swirl and

                  viscosity ranges of materials for different mixing   increase vertical motion (10–15 from vertical þ
                  equipment.                                           offset).


            TABLE 6.11  Types of Mixers and Their Mixing Action and Applications
            Type of Mixer                Mixing Action                              Applications
            Rotating: cone, double  Tumbling action             Blending dry, free-flowing powders, granules, and crystals. For
              cone, drum                                          example, pharmaceuticals, food, and chemicals
            Air blast fluidization  Air blast lifts and mixes particles  Dry powders and granules. For example, milk powder, detergents,
                                                                  and chemicals
            Horizontal trough mixer  Rotating element produces contraflow  Dry and moist powders. For example, tablet granulation, food,
              with ribbon blades,  movement of materials          chemicals, and pigments
              paddles, or beaters
            Z-blade mixers       Shearing and kneading by the specially  Mixing heavy pastes, creams, and doughs. For example, bakeries,
                                  shaped blades                   rubber doughs, and plastic dispersions
            Pan mixers           Vertical, rotating paddles, often with  Mixing, whipping, and kneading of materials ranging from low-
                                  planetary motion                viscosity pastes to stiff doughs. For example, food, pharma-
                                                                  ceuticals, chemicals, printing inks, and ceramics
            Cylinder mixers,     Shearing and kneading action   Compounding of rubbers and plastics. For example, rubbers,
              single and double                                   plastics, and pigment dispersions
            Jones R L. Mixing equipment for powders and pastes. Chemical Engineering (London) 1985;419:41.
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