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66131_Ludwig_CH10G  5/30/2001 4:38 PM  Page 215










                                                                    Heat Transfer                                          215


                                             2
                                          4nv s 62.5                       where f s   friction factor from Figure 10-140, for plain bare
                                      p r     a    b, psi                            tubes, f s   f/1.2 (from Figure 10-140), shell side
                                           2g¿  144                                                   2
                                                                                G s   mass velocity, lb/hr (ft of flow area)
                                                                                D e   equivalent diameter of tubes, ft. See Figure 10-54 or
                                                                                     Table 10-21.
                                                                                D s     I.D. of shell, ft
                                                                                N c   number of baffles
                                                                           (N c 	 1)   number of times fluid crosses bundle from inlet to
                                                                                     outlet
                                                                                 g   4.17   10 8
                                                                                 s   specific gravity of gas or liquid referenced to water
                                                                                  s  (
/
 w ) 0.14 , subscript w refers to wall condition
                                                                                 
  viscosity, lb/hr (ft)   (centipoise) (2.42)

                                                                             For values of specific gravity for noncondensing gases and
                                                                           vapors use the average density at inlet and outlet conditions
                                                                           referenced to water at 62.4 lb/ft .
                                                                                                      3



                                                                           Alternate: Segmental Baffles Pressure Drop
                                                                                                                       (10-220)
                                                                             p s       p b   	   p c
                                                                             a. Baffle Window Pressure Drop,  p b , psi
                                                                               This drop is usually very small unless the baffle cut has
                     Figure 10-139. Tube side end return pressure drop per tube pass; vis-  been limited to a low value. 36
                     cosity close to water.
                                                                                             2
                                                                                 2.91102   13 1G b 2 1N c 2
                                                                             p b                 , psi                 (10-221)
                                                                                         s
                       The friction factor, f s , is determined using Figure 10-140    36
                                                                               Donohue reports agreement of   36% in turbulent
                     for shell-side pressure drop with D e , used in determining R e .
                                                                               flow conditions.
                     For bundles with bare tubes (plain tubes), f s   f/1.2 (see
                     Figure 10-140), calculate pressure drop:
                                                                           where   p s   total shell-side pressure drop, psi
                                                                                  p b   pressure drop across window opening of segmental
                                 2
                              f s G s LN c                                            baffles, total for all baffles, psi
                       p s               psi                     (10-217)
                                  10
                           5.221102 D e ¿s  s                                     p c   pressure drop across the bundle in cross-flow, psi
                                                                                   s    specific gravity of gas or liquid referenced to water
                     where N c   1 for single-pass shell, no baffles              N c   number of baffles
                                                                                                          2
                            s   (
/
 w ) 0.14                                     G b   flow rate, lb fluid/(hr) (ft of flow cross-section
                          p s   shell side pressure drop with no baffles, psi         area through window opening in baffle)
                                                                             b. Bundle Cross-flow Pressure Drop,  p c , psi, Williams 126
                     Segmental Baffles in Shell
                                                                                     c b f f  1G c 2 2
                       Figure 10-140 is used for determining the friction factor   p c   a  9  0.14 b1n c 21N c 	 12   (10-222)
                                                                                   10 g 1
>
 w 2
                     (dimensional) for segmental type baffles. The loss across the
                     tube bundle and through the baffle “window” is represented
                     in the combined factor, f, which is to be used with the equa-  f f   (f, from Figure 10-140) (144)
                                                                                   Note: f from Figure 10-140 must be divided by 1.2 when
                     tion for pressure drop. 70
                                                                                   plain bare tubes are used.
                              2
                           f s G s D s ¿1N c 	 12                                c b   1.07 for bare tubes
                       p s              , psi                    (10-218)            1.2 for low finned tubes
                                  10
                           5.221102 D e s  s
                                  2
                               f s G s D s ¿1N c 	 12                          As an alternate, the equation of Chilton and Gener-
                     also,  p s                                  (10-219)          28, 82
                                  2g D e   s                                   aux:
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