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 Encyclopedia of Physical Science and Technology  EN006C-252  June 27, 2001  14:15







               94                                                                                       Fluid Mixing


                                                                 time in a large mixing vessel equipped with A315 im-
                                                                 pellers will be about one-third that of the blend time in the
                                                                 same vessel equipped with R100 impellers. Blending is
                                                                 relatively long on full scale compared to pilot scale, so the
                                                                 improvement in blending characteristics on full scale can
                                                                 lead to a much more uniform blending condition. Many
                                                                 fermentations are responsive to improved blending and
                                                                 this is another factor in addition to the requirement of
                                                                 gas–liquid mass transfer that exists in many fermentation
                                                                 systems as well as in other gas–liquid operations.


                                                                 A. Combination of Gas–Liquid
                                                                    and Solids Systems
                                                                 As mentioned previously, axial flow impellers are typi-
                                 FIGURE 22
                                                                 cally used for solids suspension. It is also typical to use
                                                                 radial flow impellers for gas–liquid mass transfer. In com-
               This allows the calculation of full-scale mixers when pilot  bination gas-liquid-solid systems, it is more common to
               plant data is available in that particular fluid system.  use radial flow impellers because the desired power level
                 The curve shown in Fig. 22, for an R100 impeller illus-  for mass transfer normally accomplishes solids suspen-
               trates that there is a break point in the relationship with  sion as well. The less effective flow pattern of the axial
               K G a versus the power level at the point where the power  flow impeller is not often used in high-uptake-rate sys-
               of the mixer is approximately three times the power in the  tems for industrial mass transfer problems. There is one
               expanding gas stream. The power per unit volume for an  exception, and that is in the aeration of waste. The up-
               expanding gas stream at pressures from 1 to 100 psi can  take rate in biological oxidation systems is on the order
               be expressed by the equation P /V  (HP/1000 gal) = 15F  of 30 ppm/hr, which is about  1  to  1  the rate that may be
                                                                                         2   10
               (ft/sec). The A315 impeller, Fig. 23, is able to visually  required in industrial processes. In waste treatment, sur-
               disperse gas to a ratio of about 1 to 1 in expanding gas  face aerators typically use axial flow impellers, and there
               power and mixer power level. It does not have a break  are many types of draft tube aerators that use axial flow
               point in the curve, although slopes are somewhat different  impellers in a draft tube. The gas rates are such that the
               than those in Fig. 22.                            axial flow characteristic of the impeller can drive the gas
                 A comparison of the curves is such that in some areas  to whatever depth is required and provide a very effective
               the A315 has a somewhat better mass transfer and in other  type of mass transfer unit.
               areas the R100 has a better mass transfer performance.
                 The large difference in the A315, however, is more in its
                                                                 B. Effect of Gas Rate on Power Consumption
               blending ability compared to the R100, so that the blend
                                                                 At a given mixer speed, there is a reduction in the horse-
                                                                 power of a mixer when gas is added to the system, and nor-
                                                                 mally the horsepower decreases somewhat proportional
                                                                 to the increase in gas velocity. Figure 24 shows a typical
                                                                 curve, but there are many other variables that affect the
                                                                 location of the curve markedly. This brings up a key point
                                                                 for industrial design. If the mixer is to be run both with
                                                                 the gas off and on in the process, then an interlock is used
                                                                 to prevent gas-off operation or change the mixer speed to
                                                                 prevent overloading, or else the mixer must be capable of
                                                                 transmitting power and torque possibly two, three, or four
                                                                 times higher than is needed during the actual process step.
                                                                 This often is solved by a two-speed motor, which allows
                                                                 a lower speed to be used when the gas is off, compared to
                                                                 the normal speed at processing conditions.
                                                                   A new impeller is now being used for gas-liquid con-
               FIGURE 23 Effect of power per unit volume, P/V, and superficial
               gas velocity, F, on the mass transfer coefficient K G a, for dual A315  tacting, call the Smith Turbine. It is a radial flow turbine
               impellers.                                        with blades as shown in Fig. 25. It is rotated in the concave
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