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6.11.  FLUIDIZATION OF  BEDS OF  PARTICLES WITH  GASES  123

             particles appear to interlock to form a skin around the bubble and
             thus  prevent  free  particles  from  raining  through  those  spaces.
             Bubble sizes become large at high rates of flow and may eventually
             reach the diameter of  the vessel, at which time slugging and severe
             entrainment will occur.
                Onset of  fluidEation commonly is detected by noting a break in
             the  plot  of  flow  against pressure  drop.  For  a  range  beyond  the
             minimum fluidizing velocity,  the  pressure  drop  remains  constant
             and equal to the weight of  the bed but the bed level rises gradually
             and bubbles arle  generated  at an increasing rate.  Not  in all cases,
             however, is the fluidization behavior entirely smooth. Figure 6.lO(a)
             compares “nonmal”  with  a  case of  “abnormal”  behavior.  Among
             the reasons for abnormality are aggregation of  particles because of
             stickiness  or  attractive  forces  between  small  particles  and
             interlocking of  rough  surfaces. It is even possible for bubbling to
             occur before  the onset of  fluidization by formation of  channels in
             the bed.


                                  I
                              F
             CHARACTE RlSTICS 0 FLU DlZATlO N                    Figure 6.11. Six regimes of  fluidization identified with increasing gas
                                                                 superficial velocity (Grace, 2982).
             Six different regimes of  fluidization are identified in Figure 6.11 and
             its  legend.  Particulate  fluidization,  class  (b)  of  the  figure,  is
             desirable for most processing since it affords intimate contacting of   Velocity   Appearance and
             phases. Fluidization depends primarily on the sizes and densities of   Range   Regime   Principal Features
             the  particles,  but  also  on  their  roughness  and  the  temperature,
             pressure,  and  humidity of  the  gas.  Especially  small  particles  are   (a)  Os u<umf   fixed   particles are quiescent; gas flows
             subject to electrostatic and interparticle forces.                bed     through interstices
                Four main classes characterized by diameters and differences  in   (b)  umf 5 u < umb particulate  bed expands smoothly in a homoge-
             densities of  the phases are identified in Figure 6.12 and its legend.   fluid-   neous manner; top surface is well
             Groups  A  and1 €3  are most frequently encountered;  the boundary   ization   defined; some small-scale particle
             between them is defined by the equation given in the legend. Group        motion; little tendency for particles to
                                                                                       aggregate; very little fluctuation
             A particles are relatively small, 30-150  ym dia, with densities below   (c)  om,, r u < urn,  bubbling   void regions form near the distributor,
             1.5 g/cc. Their bed behavior is ‘‘abnormal” in that the bed expands   fluid-   grow mostly by coalescence, and rise
             appreciably  before  bubbling  sets  in,  and  the  minimum  bubbling   ization   to the surface; top surface is well
             velocity always is greater than the minimum fluidization velocity.        defined with bubbles breaking
             The bubbles disengage quickly. Cracking catalysts that  have been          through periodically; irregular pres-
             studied extensively for their  fluidization behavior are in this class.    sure fluctuations of appreciable
             Group  I?  materials  have  dp = 150-500 pm and  are  1.5-4.0 g/mL.        amplitude
             The bed expansion is small, and minimum bubbling and fluidization   (d)  urn, 5 u < uk  slugging   voids fill most of the column cross
             velocities are inearly the same. The bubbles also disengage rapidly.   regime   section; top surface rises and col-
                                                                                       lapses with reasonably regular fre-
             Coarse sand and glass beads that have been favorite study materials       quency; large and regular pressure
             fall in this group. Group C comprises small cohesive particles whose      fluctuations
             behavior  is  influenced by  electrostatic  and van  der  Waals forces.   (e)  u, 5 u < utr  turbulent   small voids and particle clusters danto
             Their beds are difficult to fluidize and subject to channelling. Group   regime   and fro; top surface difficult to
             D particles are large,  1 mm or more, such as lead shot and grains.       distinguish; small-amplitude pressure
             They do not fluidize well and are usually handled in spouted beds,        fluctuations only
             such as Figure 9.13(f).                             (f)  utrs u   fast   no upper surface to bed; particles are
                Among  the properties of  particles most conducive to smooth   fluid-   transported out the top and rnus be
             fluidization are the following:                                   ization   replaced by adding solids at or near
                                                                                       the bottom; clusters or strands of
                                                                                       particles move downward, mostly
             1. rounded and smooth shape,                                               near the wall, while gas, containing
             2.  in the range of  50-500  ym diameter,                                 widely dispersed particles, moves
             3.  a  broad  spectrum  of  particle  sizes,  with  ratios  of  largest  to   upward; at fixed solid feed rate,
               smallest sizes in the range of  10 to 25,                               increasingly dilute as u is increased
             4.  enough toughness to resist attrition.
                                                                 SIZING EQUIPMENT
             Such  tailoring  of  properties  is  feasible  for  many  catalyst-camer
             formulations, but  drying processes, for instance, may be restricted   Various aspects of the hydrodynamics of  gas-solid  fluidization have
             by  other  considerations.  Fluidization of  difficult  materials can be   been  studied  extensively with  conclusions that  afford guidance to
             maintained by  mechanical or ultrasonic vibration of  the vessel, or   the interpretation  and extension of  pilot plant  data.  Some of  the
             pulsation of  the supply of the fluid, or mechanical agitation of  the   leading results  bearing  on the  sizing of  vessels will be  discussed
             contents of the vessel, or by addition of fluidization aids such as fine   here. Heat transfer performance is covered in Chapter 17. Example
             foreign solids.                                     6.16 applies to some of the cited data.
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