Page 279 - Packed bed columns for absorption, desorption, rectification and direct heat transfer
P. 279

269


                           where fi is an experimental constant depending on the type and dimension of
                           the packing and on the physical properties of the liquid phase.
                                  Ramm und Sakgeim [159] used this equation to correlate their own
                           experimental data obtained at low liquid superficial velocities, up to 4.7x10" 3
                            3   2
                           m /(m s), and obtained that for all their packings fi = 52.5 s/m. It is possible to
                           describe the data for packings with different dimensions using only one value of
                           /? because at the values of £ at which the investigation of Ramm und Sakgeim
                           [159] is carried out AP/AP 0 is close to 1 and the error from incorrect taking
                           into account the irrigation influence is not very big.
                                  The theoretical model of Zhavoronkov et al. [33] (Eq. (259) in Chapter
                           1) for taking into account the influence of the irrigation on the pressure drop,
                           and the equation (260) of Kolev [34], Chapter 1, for the pressure drop over the
                           loading point can be used together with Eqs. (165) and (166), [160]. In this case
                           for calculating Ag and AA, the following equations are proposed [160].


                                       -0-OSS EU>.37-,-2.47                                  fines
                                           .Fr L e                                         (175)



                                                           IM
                                         4
                           M = 3.4SxlO- ,[(^-f f  /(d )J   IM  .(  m
                                                   /(g.d h)J .(—f f
                                           ^
                                                      h
                                            s                s
                                                                                           (176)
                                                        u7
                                                       r f*»
                                  The average deviation of the experimental date from those calculated
                           with Eq. (259) in Chapter 1 and Eq. (175) is 10%, and from those with Eqs.
                           (259) and (260) in Chapter 1 and Eqs. (175) and (176) over the loading point-
                           20%.
                                  It is shown [160] that by using Eqs. (46), (175) and (176), the loading
                           point of a packing with vertical walls can be calculated. In this case the value of
                           the constant Kk is also 1.03.
                                  The model of Zhavoronkov et al. [33], Eq. (259), Chapter 1, considers
                           the channels in the packing as tubes with constant cross-sections. That is,
                           theoretically it cannot be used together with Eq. (170) which takes into account
                           the changing of the cross-section.
                                  The irrigated packing pressure drop under the loading point must be
                           described [163] with equation of two terms, first for the channel with a constant
                           cross-section, and second for the local pressure drop. Taking into account, that
                           the liquid holdup changes not only the free cross-section in the channels of the
   274   275   276   277   278   279   280   281   282   283   284