Page 353 - Distillation theory
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            0521820928gsy  CB644-Petlyuk-v1                                                     March 16, 2004  4:50





                                Short Glossary                                                    327

                                 situated at any reflux and for any product  boundary  element  of  concentration
                                 points. In this region, the following con-  simplex.
                                 dition is satisfied: K Di > K Dj or K Bi < K Bj  Tear-off region (Reg t(k)  or Reg t(k)  or
                                                                                      r
                                                                                                s
                                 or K Di > K DEj > K Ei .            Reg t(k) ) region of k-component bound-
                                                                        e
                                Structural condition of trajectory tear-off  ary element of concentration simplex
                                 defined order of component volatilities  contains tear-off points.
                                                        t
                                                           t
                                                              t
                                                      t
                                 must be in tear-off points x ; x ; x : K >  Trajectory of distillation section (→) line
                                                      r
                                                           e
                                                        s
                                                              ri
                                                    t
                                           t
                                   t
                                      t
                                                           t
                                              t
                                 K ; K < K ; K eDi  > K eDEj  > K eEi  in concentration space that connects the
                                      si
                                   rj
                                           sj
                                Tangential pinch region (Reg tang ) region  points in which the system of distillation
                                 of concentration simplex where there are  equations at given product point and re-
                                 no pinch points at any reflux or reboil ra-  flux is satisfied.
                                 tios.                             Working bundle of section trajectories at
                                Tear-off point x t min,r  or x t min,s  at minimum  given reflux (N w,r  ⇒ N +  or N w,s  ⇒ N w,s
                                                                                 −
                                                                                             −
                                                                                                   +
                                                                                       w,r
                                           2
                                        2
                                 reflux (S , S ) point where the section  or N w,e  ⇒ N w,e ) bundle contains the
                                                                                +
                                                                          −
                                        r
                                           s
                                 trajectory at minimum reflux tear-off  distillation working trajectory (x D → or
                                 from boundary element of concentration  x B → ) (i.e., trajectory going through
                                 simplex containing all product compo-  product point of section).
                                 nents and one impurity component which  Working region of section trajectories
                                 volatility is niar to product component  at given reflux (Reg  R  , Reg  R  Reg  R  )
                                                                                       w,r   w,s  w,e
                                 volatilities.                       region of concentration simplex filled
                                                 t
                                             t
                                                                1
                                Tear-off point x or x at sharp split (S ,  with working bundle of section trajec-
                                            r    s              r
                                                                                                   t
                                  1
                                 S ) point where the section trajectory  tories x D ∈ Reg  R  or x B ∈ Reg R  or x ∈
                                  s                                              w,r         w,s   e
                                 at given reflux tear-off from product  Reg R  .
                                                                        w,e
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