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8.4.  DATA  OF  HEAT TRANSFER  COEFFICIENTS  185

                              TABLE 8.5.  Ranges of Overall Heat Transfer Coefficients in Various Types of
                                       Exchangers [ U Btu / (hr)(sqft)("F)] a
                                      Equipment                 Process               Lp
                              Shell-and-tube exchanger [Fig.   gas (1 am)-gas  (1 atm)   1-6
                               8.Wl                     gas (250 atm)-gas  (250 atm)   25-50
                                                        liquid-gas  (1 atm)          2-42
                                                        liquid-gas  (250 atm)       35-70
                                                        liquid-liquid               25-200
                                                        liquid-condensing  vapor    50-200
                              Double-pipe exchanger [Fig. 8.4(a)l   gas (1 atm)-gas  (1 atm)   2-6
                                                        gas (250 atm)-gas  (250 atm)   25-90
                                                        liquid-gas  (250 atm)       35-100
                                                        liquid-liquid               50-250
                              Irrigated tube bank       water-gas  (1 atm)           3-1 0
                                                        water-gas  (250 atm)        25-60
                                                        water-liquid                50-1 60
                                                        water-condensing  vapor     50-200
                              Plate exchanger [Fig. 8.8(all   water-gas  (1 atml     3-10
                                                        water-liquid                60-200
                              Spiral exchanger [Fig. 8.8(c)l   liquid-liquid       120-440
                                                        liquid-condensing  steam   160-600
                              Compact [Fig. 8.6(h)l     gas (1 am)-gas  (1 atm)      2-6
                                                        gas (1 atm)-liquid           3-10
                              Stirred tank, jacketed    liquid-condensing  steam    90-260
                                                        boiling liquid-condensing  steam   120-300
                                                        water-liquid                25-60
                              Stirred tank, coil inside   liquid-condensing  steam   120-440
                                                        water-liquid                90-210
                                 a 1 Btu/(hr)(sqft)("F) = 5.6745 W/m'  K
                                 Data from (HEDH, 1983).


           borne  in  mind  that  very  few  proposed  correlations  are  more   difference is 234.5 and Ng = 4.48. The height of  a contact zone then
           accurate than  &20% or so.                          is obtained as the product of  the number of  transfer units and the
              Along  with, rate  of  heat  transfer,  the  economics of  practical   height Hg of  a transfer unit. Several correlations have been made of
           exchanger  desi,gn requires  that  pumping  costs  for  overcoming   the latter quantity, for example, by Cornell, Knapp, and Fair (1960)
           friction be taken into account.                     and  modified  in  the  Chemical  Engineers  Handbook  (1973,  pp.
                                                               18.33, 18.37). A  table  by  McAdams (1954, p.  361) shows that  in
           DIRECT CONTACT OF HOT AND COLD STREAMS              spray towers the range of  Hg may be 2.5-10  ft and in various kinds
                                                               of  packed towers, 0.4-4  ft or so.
           Transfer of  heat by  direct contact is accomplished in spray towers,   Heat  transfer  coefficients  also  have  been  measured  on  a
           in bowers with a multipnicity of  segmented baffles or plates  (called   volumetric or  cross  section basis.  In  heavy  hydrocarbon  fraction-
           shower decks), and in a variety of packed towers. In some processes   ators, Neeld and O'Bara  (1970) found overall coefficients of  1360-
           heat  and  mass  transfer  occur simultaneously between phases;  for   3480 Btu/(hr)("F)(sqft  of  tower cross section). Much higher values
           example, in water cooling towers, in gas quenching with water, and   have been found in less viscous systems.
           in spray or rotary  dryers.  Quenching of  pyrolysis gases in transfer   Data on small packed columns were correlated by Fair (1972)
           lines or towers and  contacting on some trays in fractionators may   in the form
           involve  primarily  heat  transfer.  One  or  the  other,  heat  or  mass
           transfer, may be the dominant process in particular cases.   Ua = CG"L",  Btu/(hr)(cuft)("F),   (8.34)
              Data  of  direct  contact  heat  transfer  are  not  abundant.  The
           literature has been reviewed by Fair (1972) from whom specific data   where the constants depend on the kind of  packing and the natures
           wilE be cited.                                      of  the  fluids. For  example, with  air-oil,  lin. Raschig rings, in an
              One rational measure of  a heat exchange process is the number   8 in. column
           of  transfer units.  In term of  gas temperatures this is defined by
                                                                  Ua = 0.083G0.94L0.25.                    (8.35)

                                                               When G and L are both 5000 lb/(hr)(sqft), for instance, this formula
                                                               gives Uu = 2093 Btu/(hr)(cuft)("F).
           The logarithmic mean temperature difference usually is applicable.   In spray towers, one correlation by Fair (1972) is
           For  example,  if  the  gas  goes  from  1200 to  150°F and  the  liquid
                                                                                                  .
                                                                                     Btu/
           countercurrently  from  120  to  400"F,  the  mean  temperature   hga = 0.043 G 0.8L0.4/Z0-5 (hr) (cuft) ("F)   (8.36)
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