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392                                                       Chapter 7

           alumina  is more  widely  used  than  the  other  materials  [18].  Pellets  are  usually
           molded  or  extruded  into  spheres,  cylinders,  or  rings.  Extrusion  is  a  lower  cost
           operation than  molding[18].  The most common pellet diameters are  1/32, 1/16,
           and  1/8  in (0.794,  1.59, and 3.18 mm).  Pellets  should have a high compressive
           strength  to  resist  crushing  and  abrasion  and  a  low  pressure  drop  to  minimize
           compressor  and  power  costs.  Because  pellets  are  packed  in  a  bed,  the  bulk
           crushing  strength  of  the pellets  limits  the bed  height.  Trambouze  et  al.  [8]  de-
           fine bulk crushing  strength as the stress that produces 0.5 % fines  as determined
           by compressing the pellets in a press.  Pellet strengths vary from  1.0 to  1.3 MPa
           (145  to  189 psi) for several pellets tabulated by Trambouze et al. [8].
                Selecting a pellet  size,  shape,  and porosity (void fraction  in the pellet) is a
           trade-off  between  achieving  high  reactivity,  high  crushing  strength,  and  low
           pressure  drop.  Promoting  high  reactivity  requires  a  porous  pellet  with  a  large
           internal surface  area, which requires  small pores.  Small pores,  however,  lower
           the  diffusion  rate,  reducing  the  pellet  activity.  The  rate  of  diffusion  increases
           with  increasing pore  size,  but  the  increased pore  size  reduces  surface  area  and
           therefore reactivity. Consequently, there is an optimum pore size that maximizes
           pellet reactivity.  Reactor  reactivity  increases  if  the  pellet  diameter  is  reduced,
           allowing more pellets  to be packed into a reactor, but then the pressure  drop  is
           increased.  Low pressure  drop  is  achieved  using  large  pellets, but' then  this  re-
           duces  the  catalyst  surface  area  for  a  unit  volume  of  reactor.  Also,  crushing
           strength  decreases  with  increasing  porosity  particularly  when  the  porosity  is
           above 50% [17].

           Packed-Bed Reactor Selection

           Catalyst  pellets  are  contained  in  a reactor,  as  shown  in  Figure  7.4, in  a  single
           bed,  multiple beds  in a single  shell,  several packed tubes in a single  shell,  or a
           single bed with imbedded tubes.  Deviation  from  the  simple  single bed  may be
           required  because  of  the need  to  add  or remove heat, to redistribute the  flow  to
           avoid channeling, or to limit the bed height to avoid crushing the catalyst.  In all
           the reactors  shown in Figure 7.4, the reacting gases flow  downward through the
           bed instead of upward to avoid fluidization and minimize entrainment of catalyst
           in the exit gases.
                The simplest packed-bed reactor  is the adiabatic, single-bed reactor  shown
           in Figure 7.4a. According to Trambouze et al.  [8], it is the most  frequently  used
           reactor type.  If the reactants must be cooled to limit catalyst fouling  or deactiva-
           tion, then  select  one  of  the  other reactor types.  In  the reactor  shown  in Figure
           7.4b,  part of the feed  stream is diverted and mixed with hot gases from the upper
           bed before  entering the lower bed.  The methanol-synthesis reactor, discussed in
           Chapter 3, uses this method of cooling.  Adding an excess of one  of the reactants
           or  an  inert  gas  could  also  reduce  the  temperature  rise  of  the  reactants.  These
           gases are heat sinks, absorbing the enthalpy of reaction.  In the reactor  shown in
           Figure 7.4c, the catalyst is packed in tubes, and a heat-transfer  fluid  flows  in the




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