Page 95 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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84                       Applied Process Design for Chemical and Petrochemical Plants

            Eduljee  [lo71 evaluated published data and corrected             1
          relationships for determining the number of actual trays   ($)min   = 1+ (D/L),in   =  1+1/1.017  =0.506
          versus actual reflux with reasonably good agreement:
            First Trial.
                                                                0.506 V, = 1.017 (D,)  = 1.017 (0.664)
          when 1.1 < R/Rm 7 2.0                                      V,  = 1.332 mols per mol of feed
                                                                     L, = 1.017 (0.664) = 0.674 mols/mol feed
                                                                     q = 1.0
                                                                     L, = (0.674) + (1) (1) = 1.674 mols/mol feed
          when R/Rm > 2.0                                            V,  = 1.332 - (1) (1 - 1) = 1.332 mols/mol feed




            If  the number of  actual trays, S, calculates to be 27 or
          greater, then revert to the following for better accuracy:   Operating values:
          Second Trial:
                                                                Operating (L/D),  = (1.5) (1.017) - 1.525
          when 1.1 < R&,   7 2.0

                                                                                =0.603
          S = 2.71  (Rm/R) (S,)  + 0.38               (8-163)  ($),= 1+1/1.525
          when R/R,  > 2.0
                                                                Vr   (1’525) (o’664) = 1.68 mols/molfeed
          S = [0.67 (Rm/R) + 1.021 (S,)  + 0.38       (8-164)           0.603

          where  n = number of theoretical trays in the rectifying section   L, = (1.323)  (0.664) = 1.013 mols/mol feed
               R = reflux ratio (O/D)                               q = 1.0
                S = number theoretical trays in the column, including   L,  = 1.013 + (1) (1) = 2.013
                   reboiler                                         V,  = 1.68 - (1) (1 - 1) = 1.68
                                                                (L/V), = 2.013/1.68  = 1.198
          Subscript
                                                                For graph:
               m = minimum
                                                                 [($)s  (3, =1.198(&)       -l=O.985
                                                                           -11,
            The feed plate location, for either  rectlfylng or strip
          ping sections:
                                                                                           1
                                                                           -
            For R/%,  from 1.2 to 3.6:                           [ ( $), (E), 11   = (1.255) (-) 0.506  - 1 = 1.48
                                                                              min
          (n/nm) (R/Rm) = 1.1 + 0.9 (R/Rm)            (8-165)
                                                                  Read curve for “greater than 8” minimum equilibrium
            Hengstebeck  [224] presents a technique for locating   steps:
          the feed tray by plotting.
                                                                at 0.985/1.48 = 0.666
          Example 847: Operating Reflux Ratio
                                                                Curve reads: So/S~ = 1.64
            The minimum  reflux ratio  (L/D)min has been  deter-
          mined to be  1.017. Using the Brown and Martin graph   Theoretical stages at reflux (L/D) = 1.525
          [9], evaluate the theoretical number of trays at an operat-   so = s, (1.64) = 22.1 (1.64)
          ing reflux of 1.5 times the minimum. The minimum num-
          ber  of  stages was  determined  to be  22.1 including the   So = 36.2 stages
          reboiler. See Figure 8-49.
            The column will have a total condenser. Product rate D is   Theoretical trays at the operating reflux (L/D) = 1.525
          0.664 mols/mol feed, and the feed is a boiling point liquid.
            Minimum values:                                     No = 36.2 - 1 (for reboiler) = 35.2 trays in column
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