Page 212 - Applied Process Design For Chemical And Petrochemical Plants Volume II
P. 212

Distillation                                          201


             = 8.083 ft                                           maximum allowable liquid rate (at flooding) to the mini-
             Weir crest @ 304 gpm, L,  (see Figure 8-104):       mum allowable operating throughput.
                                                                   Downcomer liquid handling:
           how = 0.092 (Lg/1,)*13  =                               Based on clear liquid, downcomer velocity:
               = 0.092  (504/8.08)*13
               = 1.45 in. liquid                                  Vd =    wm       =     504
                                                                      (7.48) (60) (Ad)  (7.48) (60)  (10.3)
             In  such  a  large  column, the  weir  constriction factor
            (Figure 8-105) is not significant and is not applied to the   = 0.106 ft/sec
           above hoLv.
             Aeration:                                             Referring to Table 8-20 for low foaming hydrocarbons
             From Figure 8-126:                                  on 24in. tray spacing, this velocity of  0.106 fps is  quite
             F,,,  = v,  (P.;)O.~  for active area                “safe” compared to a suggested range of 0.55-0.60  fps.
             F,,   = (347/65.59)  (0.168)O.’ = 2.168               Based on tray spacing of 24 in., assume 50% downcom-
             Read figure; aeration factor, fi = 0.38              er full, then:
             Then, the wet-tray pressure drop is:
                                                                 height of liquid = 12 in. = 1 ft-0 in. then,
              1. Operating liquid seal loss, clear liquid on tray   residence time = 1 ft/O.l06 fps = 9.43 sec
                hl = p (h,  + hotv) = 0.58 (2 in. + 1.45 in.)      This is  compared to  about  3 sec  reported  by  Bolles
                  = 2.00 in. liquid                               [ 1901. This should be checked, and the tray spacing may

             2. Total tray pressure drop:                        have to be increased, depending on the recalculation for
                                                                 the entire tray.
                ht = hh + p (hw + how)
                h, = 1.98 + 2.00 = 3.98 in. liquid                Liquid Gradient

            Weep Point                                             Referring to equations for aerated liquid pressure drop,

             Surface Tension Head:
                                                                   hf =--  28 h1 - 1 - 2.001/[2(0.58) - 1]= 12.3 in.
                0.0403
                        0.0405 (21)
                      _-
            h,  = -
                      --
                 pi dh   43.3 (0.1875)
              = 0.1034 in. liquid                                  Velocity of froth:
                                                                   lf= 504/(7.48 gal/ft3) (60 sec/min)  = 1.12 cfs
           Then: Ah/&  = 8.82/65.59 = 0.134
           Referring to Figure 8132:

           hl,  = h,  + h,,v,  in. liquid, height of clear liquid at overflow weir   Note Tower diameter = 10.5 ft

           hl,, = 2 in. + 1.45 = 3.45 in.                                      8.083
                                                                   Weir length = -
                                                                               18.58 ft
           hh + h,  = 1.98 + 0.103 = 2.08 in. liquid
                                                                   Average length for lfi%, 18.58/2 = 9.29 ft
                                                                                       =
             Reading the intersection of  3.45 vs. 2.08  shows that for
           either weep point curve, the weep point is well below the                              (cross section)
           values for operation,  so this design not near the weep point.   Hydraulic radius of aerated mass, RH =  (wetted perimeter)  , ft
                                                                         hf  Df       (12.5) (9.29)
           Turndown Ratio                                         R*  =         =                   = 0.859 ft
                                                                      2hf + 12Df   (2) (12.63)  + (12) (9.29)
             By  trial and  error the tray can be examined to deter-   Reynold’s Modulus:
           mine  the  rates  that  will  coincide with  the  weep  point.
           Thus, the  entrainment  can  establish the  upper  limit of
           operation, and the liquid weeping through  the perfora-
           tions represents the lower limit of stable operations; that
           is, turndown is generally used to represent the ratio of the   = 1.260 x lo5
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