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Cake Filtration: Mechanism, Parameters and Modeling  307

                                        Table 12-2
                                 Model Input Parameters*

              Parameter                  Symbol            Data  1   Data  II
              Cake porosity without     10  _ ,_  0         0.39*     0.73 C
              compaction and  small             *
                            3
              particle retention, cm
                        3
              pore volume/cm  bulk
              volume
              Cake particle volume      e ° — 1 — d) °      0.61 C    0.21 d
                     3
              fraction cm  particle/cm 3  J
              bulk volume
              Particle density, g/cm 3     p                1.18*     1.18*
              Carrier fluid (water)        p                0.97*     0.97"
              density,  g/cm 3
              Slurry total particle     ( w  )             0.101*      —
              mass fraction,            V  *f'**ry
              g particles/g slurry
              Slurry total  particle    Lj  ]                —        0.2'
                           3              P  sturry
              volume fraction, cm
                      3
              particles/c/M  slurry
              Slurry total particle       ( w  /• )  P>,   0.109 C   0.295 C
              mass per  carrier  fluid  (c  I  —  ••••*•  • ."?—
                            3         rry
              volume, g particle/cm  *    1 — \W ^  J  rv
              carrier fluid
                                                 1
                                                       i
                                           p
                                         ~ '|>-)-ny
              Slurry carrier fluid vol-  /  \  -t + fc  I  )  /P  f  1  0-915 e  0.8 C
                         3
              ume  fraction,  cm  carrier  ^  ''shiny  L  V P  'shiny /"P\
                      3
              fluid/cm  slurry              = 1 - (a  )
                                             V  Pf  'shiny
              Slurry carrier  fluid      ( u \            2.0 x  I O' 3  2.0 xlO'  3
              volumetric flux, cm 3         s  ***           b         d
                         2
              carrier fluid/(cm  cake
              surface •  s)
              Slurry injection pres-        p e             8.9°      8.9*
              sure, atm
              Filter outlet pressure,       p e              1.0"     1.0*
              atm

             *  Civan, F.,  1998b; reprinted by permission of the AIChE, ©1998 AIChE—All rights reserved.
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