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66131_Ludwig_CH10G  5/30/2001 4:38 PM  Page 211










                                                                    Heat Transfer                                          211

                                                                             Divide this f by 144 in order to use in  p t Equation10-191
                                                                           or 10-207.
                                                                             Stoever 108, 109  presents convenient tables for pressure drop
                                                                           evaluation.
                                                                             Pressure drop through the return ends of exchangers for
                                                                           any fluid is given as four velocity heads per tube pass 70
                                                                                4nv 2
                                                                                    , ft
                                                                                 2g¿
                                                                                    2
                                                                                 4nv s 62.5
                                                                             p r      a   b, psi                       (10-212)
                                                                                 12g¿2  144
                                                                             This is given in Figure 10-139.
                                                                           where   p r   return end pressure loss, including entrance
                                                                                       losses, psi
                                                                                   n    no. of tubes passes per exchanger
                                                                                  g    acceleration of gravity, 32.2 ft/(sec) 2
                                                                                   s    specific gravity of fluid (vapor or liquid) referred
                                                                                       to water
                                                                                   v    tube velocity, ft/sec
                                                                                             2
                                                                                       4n1G–2      1
                                                                                  pr          a         b
                                                                                         2g¿s  162.5211442
                                                                                  G    mass velocity for tube side flow,
                                                                                               2
                                                                                       lb/(sec) (ft cross-section of tube)
                                                                           Total Tube Side Pressure Drop

                                                                                p t   	   p r , psi                    (10-213)

                                                                           Tube Side Condensation Pressure Drop

                                                                                 70
                                                                             Kern recommends the following conservative relation:
                                                                                              2
                                                                                 9.561102   12 f1G t 2 Ln
                                                                             p t                , psi                  (10-214)
                                                                                        D i s
                                                                             This is one-half the values calculated for straight fluid
                                                                           drop, based on inlet flows; f is from Figure 10-137.



                                                                           B. Shell Side
                                                                             Pressure losses through the shell side of exchangers are
                                                                           subject to much more uncertainty in evaluation than for
                                                                           tube side. In many instances, they should be considered as
                                                                           approximations or orders of magnitude. This is especially
                                                                           true for units operating under vacuum less than 7 psia.
                                                                           Very little data has been published to test the above-atmos-
                                                                           pheric pressure correlations at below-atmospheric pres-
                                                                           sures. The losses due to differences in construction, baffle
                                                                           clearances, tube clearances, etc., create indeterminate val-
                     Figure 10-131. Typical sectional cooler using assembly of standard-
                     ized components. (Used by permission: SGL Technic, Inc., Karbate ®  ues for exact correlation. Also see the short-cut method of
                     Division.)                                            reference 279.
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