Page 24 - Distillation theory
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P1: FCH/FFX  P2: FCH/FFX  QC: FCH/FFX  T1: FCH
            CB644-FM   CB644-Petlyuk-v1                                                          June 15, 2004  4:28





                        xxii   Nomenclature

                                sh
                               [x ]or[x sh  ]           composition segment on first plate under or above
                                 f     f −1
                                                          feed cross section at sharp split respectively
                               y                        mole fraction of vapor phase
                               z                        mole fraction of liquid–vapor mixture
                               1, 2, 3 . . .            components 1, 2, 3 . . . respectively
                               1, 2; 1,3 . . .          mixtures of components 1 and 2; 1 and
                                                          3 . . . respectively
                               1-2, 1-2-3 . . .         boundary elements of concentration simplex
                               12, 13 . . .             binary azeotropes of components 1 and 2; 1 and
                                                          3 . . . respectively
                               123, 124 . . .           ternary azeotropes of components 1, 2, and 3;
                                                          1, 2, and 4 . . . respectively
                               123, 132 . . .           regions of component order


                               Greek and Other Symbols
                               ε             component recovery
                                             difference
                               λ             eigenvalue of distillation matrix
                               σ             excess reflux factor
                               ∞             infinity
                               α             relative volatility
                               
             sum
                               θ             the root of an Underwood equation for both sections
                               ϕ or ψ        the root of an Underwood equation for rectifying or stripping
                                               section
                               η             product purity
                               η             thermodynamic efficiency
                                x sh  or  x sh  composition interval on plate under or above feed
                                  f      f −1
                                               cross section
                               α 12 ,α 13 ...  volatility of component 1 relative of component 2, of
                                               component 3 . . .
                                   S
                                                                                      −
                               N ⇒ N  +      distillation bundle included stationary points N , S, N +
                                −
                                             mixing in feed cross section
                               x f −1 ⇓⇒ x f
                               →             bond, trajectory of distillation, one-dimensional trajectory
                                               bundle
                               ⇒             set of all bonds (or of all distillation trajectories) of distillation
                                               bundle
                               ⇔             flows between sections of distillation complex
                                             decanter

                               Subscripts and Superscripts

                               az      azeotrop
                               ad      adiabatic
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