Page 187 - Packed bed columns for absorption, desorption, rectification and direct heat transfer
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177


                                 f%K
                                     0.1 0.433
                                             0.044 TO,71
                              O .96^ a      p L L
                               e{5a)       (sin a)

                          where a is the average angle of the packing walls which for a random packing
                          can be taken equal to 45°. For elements with vertical walls it is 90°.
                                  Eq. (24) together with Eq, (259) (Chapter 1) describe all experimental
                          data as well as Eq. (23). The disadvantage of equation (24) is that it is not
                          dimensionless, which is owing to the dimensional equation of Hikita and
                          Kataoka [69].
                                  In later investigations Kolev [34] obtained a dimensionless equation for
                          using together with the theoretical equation (259), (Chapter 1). This equation is:


                                            J8
                                        0J
                                                   u
                                                0M
                           4 =3.21 Re- L Frl Ed e- .                                         (25)
                          Ag is the value of ^4 under the loading point;
                                  4L
                           Re l =     is the Reynolds number for the liquid phase;
                                 a.v L
                                   :
                           Fr L = — — Froude number for the liquid phase;
                                  g
                           Ed =    '   - EStvos number;
                                 era
                                                       3
                           p L - liquid phase density in kg/tn ;
                                                               2
                           v L - liquid phase kinematic viscosity in m /s;
                                  This equation described the experimental data available at that time for
                           different random packings, presented in Table 7. All the data are under the
                           loading point.
                                  In Fig. 12 a comparison between the experimental data and date
                           calculated by Eq. (259), (Chapter 1) and Eq. (25) is presented. All data are for
                           gas velocity under the loading point.
                                  To calculate the pressure drop also over the loading point, Eqs.(259)
                           and (260) from Chapter 1, can be used. According to [34] the value of AA in
                           Eq. (260), Chapter 1, can be calculated by the equation:


                                          M         LS   l8  10
                           M = 0.0021 Frl  (w 0 / L)  Ed e'                                  (26)
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