Page 211 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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200                       Applied Process Design for Chemical and Petrochemical Plants

            Design  a  sieve  tray  column to separate benzene and   At 88% total tower area,   = 0.12 (At), ft2; downcom-
          toluene to produce 35,000 lb/hr  of benzene as overhead   er area
          product at atmospheric pressure and use a reflux ratio of
          5:l (reflux returned to net overhead). Using the top tray   At  = 347/[(1 - 0.12) (4.90)] = 80.47 ft2
          as the first design basis, which can be followed by  other
          points in the column, determine by the material balance:   Tower diameter, D = [ (80.47)  (~)/x]O*~ = 10.12 ft for
            Top tray data:                                      85% flooding.
            Material:  95%+ benzene                               For fabrication convenience and practicality, select, D -
            Molecular Weight: 78.1
            Operating pressure: 14.7 psia                       10.5 ft
            Operating temperature: 176°F                        Actual At at 10.5 ft - 86.59 ft2
            Liquid Density: 43.3 lb/ft3
            Vapor Density: 0.168 lb/f$                          Mechanical Features
            Liquid Surface Tension: 21 dynes/cm
            Maximum liquid load 5(35,000) - 175,000 lb/hr  (504        4 86.59 fG
                                                                         =
          gpm)                                                        p41  = 0.12 (86.59) = 10.39 ft2
            Maximum Vapor load: 210,000 lb/hr = (347 ft3/sec)         A,  = Net cross-section area for vapor flow above tray,
            System: Non-foaming, non-corrosive, non-fouling      (At - p41)  = 86.59 - 10.39 = 76.2 ft2 (usual situation)
                                                                      A, = active or bubble area of tray,
                                                                   -
                                                                 (4 w) [86.59 - 2 (l03)l = 65.59 ft'
                                                                         =
          TmerDiameter
                                                                      Ah  = net perforated area of tray, ft2 = (0.10)  (86.59)
                                                                          8.66 ft2
            Flow Parameter:
                                                                Actual Flow Conditions
               L'
                                                     (8 - 297A)
                                                                  Vapor velocity based on net area = 347 cfs/A,
             e-  175'000 (0.168/43.3)0.5 = 0.0519                 U,  = 347/76.2  = 4.55 fps
               210,000                                            Approach to flooding = [Un,d&@n&,od]   [lo01
          Tray Spacing and Design                                                     = [4.55/4.90] (85) = 78.99%

            Select as  quite  common; %in.  dia.  holes, with  hole   Entrainment
          area/tower  area = 0.10, 14 U  S Std. gauge stainless steel
          tray material, which is 0.078 in. thick, 2-in. weir height,   Refer to Figure 8138, Fractional Entrainment, Sieve Trays
          and 24in. tray spacing.                                [183] and for Fl\7 - FP = 0.0519, and 77.4% of flooding.
            Select single cross-flow  tray, segmental downcomers, and   Fractional Entrainment I)  = 0.06
          straight weirs, with weir length equaling 77% of tower diam-
          eter. The downflow segment is 12.4% of the tower area.   qJ=-   E
                                                                    (L' + E)
          Diameter                                               E = Liquid entrainment, lb mols/hr
                                                                 E = [0.06/(1 - .OS)] (175,000/78.1) - 143 mols/hr
            From Figure 8-137  read,                               = 11,168 lb/hr
            CSB = 0.36, at Flv at 0.0519 (previous calculation)
            The system surface tension is approximately 20 dynes/   Pn?ssure Drop
          cm, therefore no correction is necessary.
            In this system, use 85% of flooding condition for design:   With a hole/active area ratio = 8.66/65.59  = 0.132
            Vapor flooding velocity = vf  = Ui\~,n,d = csB/(h,/(Pl  -   With a tray thickness/hole diameter ratio = 0.078/(3/16)
                                                                                                      = 0.416
          pv) l'*                                                 Orifice coefficient, Figure 8-129, read at 0.41 tray/hole
            At 85% flood
                                                                gives C, orifice coefficient = 0.75
                                                                  Hole velocity = 347/8.66  = 40.06 fps
          UN,flood = Vf= (0.36) (0.85)/[  (0.168)/(43.30 - 0.168]0.5 = 4.90
          ft/sec, vapor velocity based on net crosssectional area for vapor   Dry Tray pressure drop
          flow above tray, usually, (At - Ad), ft2                hh = 0-186     (VO/CO)~
                                                                  = 0.186 (0.168/43.3)  [40.06/0.75]2 = 2.06 in. liquid
                                                                  Weir flow = 0.77 (10.5) (12 in/ft)  = 97.02 in. weir length
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