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





                        128    Distillation Trajectories and Conditions of Mixture Separability

                                              K  2
                                      a)








                                                                       x
                                             0      min x  t          1  2
                                                        2
                                                         2
                                       b)








                                         min K 2

                                            1                          3


                                     x D
                                                         2
                                                        S 4
                                       c)
                               x F
                                                     S 3
                                     x B
                                                  S
                                                   2
                                                                  (L  V) 4 =  1
                                         min  x  t  S 1      (L  V)
                                             2                   3
                                                        (L  V)
                                                    (L  V)  2
                                           x D         1
                                            1          +    +    +     3
                                                     N     N    N  3
                                               −      1     2          +
                                              N                      N 4
                               Figure 5.12. The evolution of trajectory bundle of the rec-
                                            2,3
                                                    1
                               tifying section (Reg R w,s  ≡ Reg ) for an mixture with K 1 >
                                                    att
                                            1
                               K 2 > K 3 (component 1 is the product) with the tangential
                               pinch region Reg tang  (not shaded): (a) the function K 2 (x 2 )
                               withminimumonside1-2,(b)theisolines K 2 (x 1 , x 2 , x 3 )with
                               minimum on triangle 1-2-3, (c) changes in the location of
                               the separatrix as a function of L/V((L/V) 4 = 1, (L/V) 4 >
                                                             t
                               (L/V) 3 > (L/V) 2 > (L/V) 1 ), S 1 = min x .
                                                             2
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