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              Fluid Mixing                                                                                 83
















                                                                FIGURE 9  Schematic representation of turbulent flow recorded
                                                                from a velocity probe as a function of time, showing average ve-
                                                                locity and fluctuating velocity.
                   FIGURE 7  Photograph of A315 fluidfoil impeller.
                                                                much smaller energy loss and dissipation in the impeller
                                                                zone, and much lower microscale mixing in the impeller
                In  addition,  the  turbulent  fluctuations  set  up  a  mi-
                                                                zone. There is also some difference in microscale mixing
              croscale type of shear rate. Microscale mixing tends to
                                                                in the rest of the tank.
              affect  particles  that  are  less  than  100  µm  in  size.  The
                                                                  The lower horsepower is an important factor in the ef-
              scaleup rules are quite different for macroscale controlled
                                                                ficient design of axial flow  or  fluidfoil impellers. Such
              process in comparison to microscale. For example, in mi-
                                                                lower horsepower must be considered in the efficient de-
              croscale processes, the major variables are the power per
                                                                sign involving fluid velocity and overall macroscale mix-
              unit volume dissipated in various points in the vessel and
                                                                ing phenomena. On the other hand, if the process involves
              the total average power per unit volume. In macroscale
                                                                a certain amount of microscale mixing, or certain amounts
              mixing, the energy level is important, as well as the ge-
                                                                of shear rate, then the fluidfoil impeller may not be the best
              ometry and design of the impeller blades and the way that
                                                                choice.
              they set up macroscale shear rates in the tank.
                                                                  Radial flow impellers have a much lower pumping ca-
                The fluidfoil impeller, shown in Fig. 1c, is often de-
                                                                pacity and a much higher macroscale shear rate. There-
              signed to have about the same total pumping capacity as
                                                                fore they consume more horsepower for blending or solids
              the axial flow turbine (Fig. 1a). However, the flow pat-
                                                                suspension requirements. However, when used for mass
              terns are somewhat different. The fluidfoil impeller has
                                                                transfer types of processes, the additional interfacial area
              an axial discharge, while the axial flow turbine discharge
                                                                producedbytheseimpellersbecomesaveryimportantfac-
              tends to deviate from axial flow by 20–45 . Nevertheless
                                               ◦
                                                                tor in the performance of the overall process. Radial flow
              at the same total pumping capacity in the tank, the tank
                                                                turbines are primarily used in gas–liquid, liquid–solid, or
              shear rates are approximately equal. However, the axial
                                                                liquid–liquid mass transfer systems or any combinations
              flow fluidfoil turbine requires between 50 and 75% of the
                                                                of those.
              power required by the axial flow turbine. This results in a
                                                                B. Baffles and Impeller Position
                                                                Unbaffled tanks have a tendency to produce a vortex
                                                                and swirl in the liquid. Such conditions may be wanted.
                                                                Frequently, however, a good top-to-bottom turnover and
                                                                the elimination of vortexing is needed. Therefore, baffles




                                                                FIGURE 10 Illustration of average velocity from the radial dis-
              FIGURE 8  Solidity ratio of total blade area ratio to disc area of  charge of a radial flow impeller, showing the definition of fluid
              circumscribed circle at blade tips expressed as a percentage.  shear rate ( V/ Y ).
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