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P1: JPJ/FFX  P2: FCH/FFX  QC: FCH/FFX  T1: FCH
            0521820928c05  CB644-Petlyuk-v1                                                      June 11, 2004  20:15





                        146    Distillation Trajectories and Conditions of Mixture Separability

                                   D
                                                2                            D        2
                                            3
                                           S
                              F     a)                                        b)            S 1
                                           α                            F
                                            23                                                 t2
                                   B                                                          x rev
                                                                             B
                                                                                                  t1
                                                                                                 x
                                                                                 +(1)             rev
                                                                                N                  x
                                     x                                                             B
                                     D      2
                                           S
                                    1                       4              1         α             4
                                                                                      13
                                     −                     +
                                    N  α                  N                 2(α)
                                        23                                 S                 x  branch
                                                                                         α   rev
                                        13                                     13         13
                                             3                     2               3  N  +(2)
                                                       D
                                                  F     c)
                                                       B
                                                                             x B
                                                              N  +
                                                                           t
                                                                          x
                                                        1                  rev  4
                                                                        S 1
                                                            13
                                                                3
                                                                2,3,4
                               Figure 5.28. (a) Working trajectory region Reg R w,r  ≡ Reg 1 att  (shaded, component 1 is product)
                                                                 1
                               for the acetone(1)-benzene(2)-chloroform(3)-toluene(4) mixture for rectifying section, (b) sep-
                                                                    1,3                       1,3
                                                   1
                                                                            1
                               aratrix sharp split regions S → S 2α  → N  + (1)  ∈ Reg sh,R  and S → S 2(α)  → N +(2)  ∈ Reg sh,R  for
                                                                                              sep,s
                                                                    sep,s
                                                                    2,4                       2,4
                                                                                            1    +
                               stripping section (shaded, mixture 2,4 is product), (c) separatrix sharp split region S → N ≡
                                 1
                               Reg sh,R  for stripping section (mixture 2,3,4 is product) and Reg (3)  (shaded).
                                                                             B
                                  sep,s
                                2,3,4
                                     j
                                      (3)
                               and Reg B  in the face of concentration tetrahedron is limited by some segments
                                     i
                               at the sides of this face. These segments should be possible product segments
                                  (2)        (2)
                               Reg    or Reg     of reversible distillation in the faces adjacent with the face
                                  rev,D      rev,B
                               under consideration. The boundaries of possible product regions in the faces of
                                                                    j        j
                                                                     (3)      (3)               (3)
                               concentration tetrahedron for adiabatic Reg  and Reg  and reversible Reg
                                                                     D        B                 rev,D
                                                                   i         i
                                      (3)
                               and Reg    distillation coincide with each other.
                                      rev,B
                                                                                             2,3,4
                                 Figure 5.28 shows examples of the structure of the top section region Reg R  ≡
                                                                                                w,r
                                                                                               1
                               Reg 1  for possible one-component product (second region as in Fig. 5.26b not
                                  att
                                                                                     1,3        1
                               shown in Fig. 5.28a) and bottom separatrix sharp split regions Reg sh,R  and Reg sh,R
                                                                                      sep,s      sep,s
                               for possible two and three-component products.        2,4       2,3,4
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