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               92                                                                                       Fluid Mixing


                                                                 the fine particle sizes, the average particle sizes, and the
                                                                 coarse particle sizes, since the leaching curves are often
                                                                 quite different. In addition, the suspension of the fine, av-
                                                                 erage, and coarse particles may be different in the leach
                                                                 tank due to the fact that all these particles may not be
                                                                 completely uniform throughout the system.
                                                                   Typical design of an industrial leaching system looks
                                                                 at the extraction rate versus time and power level and de-
                                                                 termines the optimum combination of tank size and mixer
                                                                 horsepower in terms of return on the product leached.

                                                                 B. Industrial Examples
               FIGURE 18 Typical comparison of power required for axial flow
                                                                 One area for industrial studies is the whole area of slurry
               impeller compared to radial flow impellers in solids suspension.
                                                                 pipelines. Coal is by far the most common material in
               settled solids), power becomes extremely high and ap-  slurry pipelines, but other pipelines, but other pipelines
               proaches infinity where there is no supernatant liquid left  include iron ore and potash. In large volume solid suspen-
               in the tank. To evaluate this effect, a mixing viscosimeter is  sion applications, there is a considerable trade-off between
               valuable, in which the slurry is agitated at the same time  volume of a tank, mixer horsepower, shape of a tank, and
               that the viscosity is measured, so that the measurement  many other areas of cost consideration that are important
               gives a reasonable value for the overall slurry.  in overall design. In addition to the tanks in these sorts of
                                                                 slurry systems, it must be capable of incorporating slurries
               A. Typical Mass Transfer Processes                into water or vice versa to either increase or decrease the
                                                                 solids concentration of a given system.
               Many processes involve criteria other than solids suspen-
                                                                   Another industrial application is mixing of paper pulp
               sion, for example, crystallization, precipitation, and many
                                                                 and slurries. An entire technology exists for this fluid,
               types of leaching and chemical reactions. In crystalliza-
                                                                 which is quite unique compared to other liquid–solid sys-
               tion, the shear rate around the impeller and other mixing
                                                                 tems. Basically, there is a question of whether to use baf-
               variables can affect the rate of nucleation, and can affect
                                                                 fles, comparison of both top-entering and side-entering
               the ultimate particle size. In some cases, the shear rate can
                                                                 mixers, as well as the very large effect of type of paper
               be such that it can break down forces within the solid par-
                                                                 pulp and the consistency of the paper pulp in the vessel.
               ticle and can affect the ultimate particle size and shape.
                                                                 Other examples include fermentation, in which there is
               There are some very fragile precipitate crystals that are
                                                                 a biological solid producing the desired product, and the
               very much affected by the mixer variables.
                                                                 role of fluid shear rates on the biological solids is a critical
                 In leaching, there usually is a very rapid leach rate that
                                                                 consideration as well as the gas–liquid mass transfer (see
               occurs when the mineral is on the surface of the particle,
                                                                 Section VI).
               but many times the internal diffusion of the solid through
                                                                   Another class of applications is the high shear mixers
               the solid particle becomes controlling, and mixer vari-
                                                                 used to break up agglomerates of particles as well as to
               ables do not affect the leaching rate beyond that point.
                                                                 cause rapid dissolving of solids into solvents. A further
               In studying the effect of mixing on leaching processes,
                                                                 type includes the catalytic processes such as hydrogena-
               it is normally desirable to run separate experiments with
                                                                 tion, in which there is a basic gas–liquid mass transfer to
                                                                 be satisfied, but in addition, effective mixing and shear rate
                                                                 on the catalyst particle fluid film as well as degradation
                                                                 must be considered.
                                                                 IV. GAS–LIQUID CONTACTING
                                                                 Many times a specification calls for a fluid mixer to pro-
                                                                 duce a “good dispersion” of so many computational fluid
                                                                 mixing (CFM), of gas into a given volume of liquid.
                                                                 Actually, there are very few applications in which dis-
                                                                 persion of gas–liquid is the ultimate process requirement.
               FIGURE 19 Increase of process horsepower versus weight per-
               cent solids, showing discontinuity when criteria changes from  Usually there is a mass transfer requirement involved, and
               solids suspension to pseudo-plastic blending.     the role of a mixer to provide a certain mass transfer
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