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P1: JPJ/FFX  P2: JMT/FFX  QC: FCH/FFX  T1: FCH
            0521820928c07  CB644-Petlyuk-v1                                                      June 11, 2004  20:18





                        236    Trajectories of the Finite Columns and Their Design Calculation

                                     N
                               a)  30

                                                     tot
                                   20
                                                     str
                                   10                rec
                                                                              ∞
                                                                         x  − x
                                                                           −1
                                   0                                      f min  f  − ,1 ∞ sh
                                     0  0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9  1  x  f  − ,1  sh − x  f  − ,1  sh
                                     N
                               b)  10
                                                        tot
                                   8
                                   6
                                                        str
                                   4
                                                        rec
                                   2
                                                                                          ∞
                                                                                      x  − x
                                                                                       −1
                                   0                                                  f min  f  − ,1  sh
                                                                                            ∞
                                   −0.1  0  0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9  1  1.1 1.2 1.3  x  f  − ,1  sh − x  f  − ,1  sh
                               Figure 7.7. Number of trays in each column section at quasisharp intermediate
                               split for the equimolar pentane(1)-hexane(2)-heptane(3)-octane(4) mixture for L/V =
                                      sh     sh
                               1.3(L/V) min , (L/V) min  = 0.614,η D = η B = 0.99 (a), and η D = η B = 0.90 (b) at different
                                                       sh
                               points (x f −1 ) sh  at segment [x f −1 ] . tot, total, rec, rectifying, str, stripping.
                                        lin            lin
                               close to the mode of minimum reflux the trajectories of sections come close to
                                      2
                                            2
                               points S and S , in the vicinity of which they sharply change their direction. In
                                      r     s
                               the points of turn of trajectories compositions at neighboring trays show but little
                               difference, which leads to the big number of trays in sections and in the whole
                               column.
                                 Figure 7.8b shows the dependence of tray number on the value of (L/V) r for
                               this example. It is typical that an increase in the excess reflux factor leads to a sharp
                               growth in the little concentration of non-key impurity components in the products:
                                                                                        −7
                               x D,4 = 1.0 · 10 −12 , x B,1 = 1.4 · 10 −6  at (L/V) r = 0.455, x D,4 = 7.3 · 10 , x B,1 = 3.1 ·
                               10 −4  at (L/V) r = 0.713.
                                 Figure 7.9a shows calculation trajectories of sections for equimolar azeo-
                               tropic mixture acetone(1)- benzene(2)-chloroform(3)-toluene(4) at η D = η B =
                                                                                         sh
                                                                               )
                               0.99; (L/V) r = 0,778 and (x f −1 ) sh  = (x ∞  ) sh  + 0.5[(x min sh  − (x  ∞  ) ]. The sep-
                                                         lin    f −1 lin     f −1 lin  f −1 lin
                                                                            1,3
                               aratrix trajectory bundle of the stripping section Reg R  for this example has a
                                                                             sep,s
                                                                            2,4
                               number of characteristic peculiarities that are rendered the clearest by a projection
                               perpendicular to edge 2-4 (Fig. 7.9b) to which the points of the bottom product
                               belong.
                                 The main peculiarity consists of the fact that at the value of parameter (L/
                               V) r = 0,778 the structural conditions of trajectory tear-off are broken in a
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