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03_chap_wang.qxd  05/05/2004  12:48 pm  Page 147
                    Cyclones                                                                  147


                                                     1                   1
                                                aD  −1   2.6538x1.25  −1.837
                                                                       1
                                                    b
                                         Q =    c    =             
                                                D          D 50    
                                                50
                       Table 25 lists the calculated gas flow rates for cut diameters ranging from 1 to 10 µm. For
                       the sake of illustration, let us suppose that the measurements of particle concentrations for
                       each flow rate are given by c in Table 25. In this case, the percentage of particles with
                                              in
                       average diameter D  can be estimated as
                                       50
                                                  % in range ≈  c in
                                                              ∑  c in
                       Figure 23 shows the calculated particle size distribution. It is worth mentioning that the
                       use of a microgram balance (10 −6  g sensibility) in this study is likely to occur.

                    NOMENCLATURE
                       a           Height of the cyclone entry duct (m)
                       a           Empirical parameter in Eq. (73) or (74), given in Table 18 or 21
                       a           Constant in Eq. (52)
                        d
                       a           Constant in Table 7
                        f
                       a           Constant in Table 8
                        s
                       a , a , a   Parameters in Eq. (68), listed in Table 15
                        1  2  3
                       A           Empirical parameter listed in Table 11
                                                     2
                       A           Cyclone inlet area (ft )
                        cyc
                       b           Width of the cyclone entry duct, (m)
                       b           Empirical parameter in Eq. (73) or (74), given in Table 18 or 21
                       b           Constant in Eq. (52)
                        d
                       b           Constant in Table 7
                        f
                       b           Constant in Table 8
                        s
                       B           Diameter of the dust exit, at the base of the cyclone (m)
                       B           Empirical parameter listed in Table 11
                       c           Parameter in Eq. (74)
                                                                                      3
                                                                                              3
                       c           Overall particle concentration at the cyclone entry [kg/m or gr/ft in
                        in
                                   Eq. (35)]
                                                                             3
                       c           Particle concentration at the cyclone exit (kg/m )
                        o
                       cost        The cost in the month–year of a (US$)
                          a
                       cost        The cost in the month–year of b (US$)
                          b
                       d           Parameter in Eq. (74)
                       d           Diameter of the cyclone central axis (m)
                        c
                       d           Duct diameter (in).
                        duct
                       d           Fan diameter (in).
                        fan
                       D           Particle aerodynamic diameter [µm, or m in Eq. (75)]
                        ae
                       D           Diameter of the cyclone cylindrical body [m, or cm in Eq. (73)]
                        c
                       D           Diameter of the dust receiver cup (m)
                        cup
                       D           Duct diameter (ft)
                        duct
                       D           Diameter of the exit cyclone duct (vortex finder) (m)
                        e
                       D           Particle diameter (m)
                        i
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