Page 234 - Chemical Process Equipment - Selection and Design
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204  HEAT TRANSFER  AND  HEAT  EXCHANGERS



                    EXAMPLE 8.10                                        Use 16 ft tubes on li in. square pitch, two pass, 33 in. shell
                    Process Design of a Shell-and-Tube Heat Exchanger
                 An oil at the rate of 490,000 lb/hr is to be heated from 100 to 170°F   LID = 16/(33/12) = 5.82,
                 with 145,000 lb/hr of  kerosene initially at 390°F. Physical properties
                 are
                                                                     which is near standard practice. The 20 ft length also is acceptable
                                                                     but will not be taken.
                         Oil    0.85 sp gr, 3.5 CP at 135"F,  0.49 sp ht
                         Kerosene 0.82 sp gr, 0.4 CP at 200"F,  0.61 sp ht   The  pressure  drops  on  the  tube  and  shell  sides  are  to  be
                                                                     calculated.
                         oil, 100 F                                     Tube side: 0.875in. ID, 230 tubes, 32ft long: Take one velocity
                                                                     head per inlet or outlet, for a total of 4, in addition to friction in the
                                                                     tubes. The oil is the larger flow so it will be placed in the tubes.
                            kerosene                                    riz = 490,000/230 = 2130.41b/(hr)(tube).
                             200 F
                            145000 pph                               Use formulas from Table 6.1
                                                                          Re = 6.314(2130.4)/0.875(3.5) = 4392,
                     Kerosene outlet:                                      f= 1.6364/[ln(5(10-7)/0.875 + 6.5/4392)]* = 0.0385,

                     T = 390 - (490,000/145,000)(0.49/0.61)(170 - 100)   AI)= 5.385(10-8)(2130)'(32)(0.0385)/0.85(0.875)5
                      = 200"F,                                              = 0.691 psi.
                     LMTD = (220 - 100)/ln 2.2 = 152.2,              Expansion and contraction:
                     P  (170 - 100)/(390 - 100) = 0.241,
                     R = (390 - 200)/(170 - 100) = 2.71.                Ape = 4p(u2/2q,)  = 4(53.04)(3.26)'/(64.4)(144)  = 0.243 psi,
                                                                        :.  ACube = 0.691 + 0.243 = 0.934 psi.
                  From Figure 8.5(a), F = 0.88,  so a 1-2  exchanger is satisfactory:
                                                                        Shellside.  Follow Example 8.8:
                     AT = 152.2(0.88) = 133.9.
                                                                         Dh = 1.2732(1.25/12)'/(1/12)  - 1/12 = 0.0824 ft,
                 From  Table  8.6,  with  average  values  for  medium  and  heavy
                  organics,                                               B = 1.25 ft between baffles,
                                                                          E = 0.25/12 ft between tubes,
                     U = 104/(57 + 16 + 50 + 34) = 63.7,                 D, = 33/12 = 2.75 ft shell diameter,
                     Q = 490,000(0.49)(170 - 100) = 1.681(107) Btu 1 hr,   A, = 2.75(1.25)(0.25/12)/(1.25/12) = 0.6875 sqft,
                     A = Q/UAT = 1.681(10')/63.7(133.9)  = 1970 sqft,    G, = 145,000/0.6875 = 210,909 Ib/(hr)(sqft),
                     1970/0.2618  = 7524.8 ft of  1 in. OD tubing.       Re = 0.0824(210,909)/0.4(2.42) = 17,952,
                                                                          f= 0.0121(17,952)-0'19 = 0.00188,
                  Use 1:  in. pitch, two tube pass. From Table 8.13,    APS,,,, = 0.00l88(210,909)2(2.75)(13)/5.22(1010)(0.82)(0.0824)
                                          Dshe,, (number of tubes)
                                 Required                                    = 0.85 psi.
                           L (ft)   No. Tubes   Triangular   Square
                            8      940      -        -                  The pressure drops on each side are acceptable. Now it remains
                           12      627     35 (608)  37 (584)        to check the heat transfer with the equations of Table 8.10 and the
                            16     470     31 (462)   33 (460)
                           20      376     29 (410)   31 (402)       fouling factors of  Table 8.6.



                 CONDENSER CONFIGURATIONS                               Condensation Inside  Tubes:  Vertical  Upflow. This  mode  is
                                                                     used  primarily  €or  refluxing  purposes  when  return  of  a  hot
                 The  several  possible  condenser  configurations will  be  described.   condensate  is  required.  Such  units  usually  function  as  partial
                 They are shown on Figure 8.14.                      condensers, with the lighter components passing on through. Reflux
                                                                     condensers  usually  are  no  more  than  6-loft  long  with  tube
                     Condensation Inside  Tubes:  Vertical Downfow.  Tube  dia-   diameters  of  25mm  or  more.  A  possible  disadvantage  is  the
                 meters  normally  are  19-25mm,  and  up  to  50mm  to  minimize   likelihood of  flooding with  condensate  at  the  lower  ends  of  the
                 critical pressure  drops.  The tubes  remain wetted  with  condensate   tubes.
                 which  assists in  retaining  light  soluble components  of  the  vapor.
                 Venting of  noncondensables is positive. At low operating pressures,
                 larger tubes may be  required to minimize pressure drop; this may   Condensation  Outside  Vertical  Tubes. This  arrangement
                 have the effect of  substantially increasing the required heat transfer   requires careful distribution of  coolant to each tube, and requires a
                 surface.  A  disadvantage  exists  with  this  configuration  when  the   sump and  a  pump  for  return  to  a  cooling tower  or  other  source
                 coolant is fouling since the shell side is more difficult to clean.   of  coolant.  Advantages  are  the  high  coolant  side  heat  transfer
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