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                  3.9 P article Analysis                                 229


                                                  Table 3.13

                                Sphericity of selected materials (McCabe et al., 1983; Perry
                                 and Green, 1984 and 1999; Broadhurst and Beck 1975) , er
                                Material                      Sphericity
                                Spheres                       1
                                Iron shot                     0.95
                                Clover seed                 0.95
                                Cracking catalyst       0.95
                                Ottawa sand                0.95
                                Tungsten powder         0.89
                                Short cylinder (length = diameter)  0.87
                                Rounded sand              0.83
                                Cube                            0.81
                                Sand (aerage for v arious types) v  0.75
                                Coal dust                    0.73
                                Cork                             0.69
                                Flint sand (jagged)    0.65
                                Coal dust (natural and up to 3/8 in)  0.65
                                Crushed glass             0.65
                                Most crushed materials  0.6–0.8
                                Wilcox sand (jagged)  0.6
                                Raschig rings             0.33–0.58
                                Berl saddles               0.3
                                es Mica flak                0.28



                    alent v For polydispersed beds consisting of particles having different diameters, the equi
                  diameter   d  v  a vlo should be preferably used (P  et al  ., 1979):
                           eq
                                                       1
                                                 d
                                                  eq  n  w                          (3.555)
                                                      ∑   i
                                                      1  d  i
                  where:
                         n     the number of fractions
                         d     the aerage screen size of the  v  i -th fraction
                          i
                         w     the mass content of the   i -th fraction in the particle mixture.
                           i
                    The aerage screen size of a fraction is the mean arithmetical value of the a v  v erage size
                  of the screen mesh through which a fraction passes and the mesh that retains the fraction.
                  xpressing the par- Finally, the United States standard screen series is used (mesh size) for e
                  ticle size. In Table 3.14, the conersion from mesh size to (cm) is gi v  v en.


                  3.9.4 Pore structure

                   olume,
                  Beyond the surface area and the pore v the distribution of the pore radii of a cata-
                  wn,
                  lyst has to be kno since the pore radius allows or does not allow a molecule to mo e v
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