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            0521820928c06  CB644-Petlyuk-v1                                                      June 11, 2004  20:17





                        184    Distillation Trajectories in Infinite Complex Columns and Complexes

                                                           D x  '
                                    D

                               F                  −
                                1
                                                 N  2                         2
                               F 2             x rev  m  x E           ( V ) max  (E  D )=∞
                                               t
                                                                        L
                                    B  a)   K =1                      K =1
                                                                       3
                                             3
                                            +            S m
                                           N
                                            m
                                                                                     S  m
                                         K =1
                                        α 13  3   132
                                                                                         L
                                                                             (E  D )     = 1  ( V )     = 1
                                                                                            min
                                                                                 min
                                         1                      3  1
                                              13                       13                3
                                           x D
                                                 N − m
                                                    2                         2
                                                       x E
                                       b)   K 3 =1                    K 3 =1
                                            x t rev                ( V )
                                                                    L
                                                                       min
                                                          S
                                         N +               m
                                          m                                          (E  D )     = 1
                                                                                         max
                                         K =1
                                        α 13  3  132
                                                                                         ( V )     = 1
                                                                                         L
                                                                                   S m       max
                                         1                      3  1                     3
                                              13                       13 (E  D )  (E  D ) min
                                           x D
                                       D x  '
                                                                                              3
                               Figure 6.8. Evolution of the region (bundle) of intermediate (extractive) section Reg R w,e
                                                                  1,3,2  3      1,3,2        1,2
                                                                          R
                               (shaded) located in component order region Reg ord  (Reg w,e  ∈ Reg ord ) with a variation
                                                                         1,2
                               of E/D and L/V for the acetone(1)-water(2)-methanol(3) azeotropic mixture: (a) K 3 > 1
                               at point S m ; (b) K 3 < 1 at point S m . Short solid lines with arrows, tie lines liquid–vapor;
                               double arrows, a movement of point S m with a variation of E/D and L/V; component 1, top
                               product; component 2, entrainer.

                                                                                            2
                                                                                             R
                                 Therefore, working trajectory region of the intermediate section Reg w,int  con-
                                                                    +
                                                   −
                               tains the separatrixes N − S m and S m − N .                1,3
                                                   m                m
                                 We now use general regularities of the location of the intermediate section
                                                                                    3
                               trajectories to analyze the evolution of trajectory bundle Reg R  for azeotropic
                                                                                     w,e
                                                                                   1,2
                               mixtures on the example of a mixture acetone(1)-water(2)-methanol(3) (the sep-
                               arated mixture, 1,3 with azeotrope 13; entrainer, 2) (Fig. 6.8).
                                 We note that this mixture cannot be separated into the components in a col-
                               umn with one feed. It is interesting for sharp extractive distillation to examine the
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