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                                                                    Heat Transfer                                          195

                                                                             For the first trial, assume 39% vaporization per pass. From
                                                                           Figures 10-114 and 10-116 and for    0.49,

                                                                               x         R L         2        tp
                                                                              0.13      0.34      —        11.35     —
                                                                              0.26       —        15        —        —
                                                                              0.39      0.19      25       8.28      2.02

                                                                             The circulation rate is calculated as shown in Equation 10-
                                                                           181:

                                                                           W T = {49.5 (24.80 - 11.35)}/
                                                                             2
                                                                                0.00821149.42  	  0.012 10.55215.7921152

                                                                                + 0.008 (0.37)(19.31)(65) + 0.442 (2.02)} = 162  (10-181)

                                                                            W T      12.7 lbs.>sec.

                                                                             Now, (W T )(x E )    12.7 (0.39)    4.95 lb/sec vaporized,
                                                                           which is very close to the required vaporization rate of
                                                                           17,600 lb/hr (4.89 lb/sec). No further adjustment is
                                                                           required at this point.

                                                                           Heat Transfer Rate—Stepwise Method
                                                                             Based on the calculated circulation rate of 12.7 lb/sec,
                     Figure 10-119. Dry-wall vapor-binding limitation. (Used by permis-  stepwise calculations are carried out for increments of 5%
                     sion: Fair, J. R. Chemical Engineering, July 8, 1963. ©McGraw-Hill,
                     Inc. All rights reserved.)                            vaporization ( x   0.05). A heat balance is taken over each
                                                                           increment based on the combined film coefficient for that
                                                                           increment.
                                                                             The calculations are summarized in Table 10-31 and pre-
                                                                           sented graphically in Figure 10-120. Several observations
                                                                           may be made:
                     Circulation Rate
                                                                             1. The flow patterns are “bubble” and “slug.”
                       The inlet line consists of 50 equivalent ft of 4-in. standard
                                                                             2. The required vaporization is attained in the 8 ft tube
                     pipe. The exit line consists of 50 equivalent ft of 6-in. stan-
                                                                               length.
                     dard pipe. No special flow restriction is in the inlet line. Pre-
                                                                                                                    2
                                                                             3. The pressure balance is off by about 21 lb f /ft . In design,
                     liminary calculations indicate that essentially the entire
                                                                               this can be corrected by a slight adjustment in liquid
                     surface is in the vaporization zone.
                                                                               level or by adding pressure drop to the inlet line (e.g.,
                       To facilitate trial-and-error work, the following constant
                                                                               a valve). It is assumed here that no further trial
                     terms are calculated:
                                                                               calculations are needed.
                       L i
                           149.3
                                                                             The results of the calculations are
                      D i
                              2
                       L CD a i                                              1. Total duty   17,600 (96.9)   1,705,000 Btu/hr.
                          a b   5.79
                                                                             2. Average inside coefficient, based on design t w   t b
                       D t  a t
                                                                                                      2
                                                                               5.0°F   1,200 Btu/(hr) (ft )(°F).
                              2
                       L E  a i
                         a   b   19.31                                       3. Based on a steam film coefficient of 1,500, the clean
                      D E  A E                                                                                2
                                                                               overall coefficient is 658 Btu/(hr) (ft )(°F) on an inside
                                                                               basis.
                        2
                      g a i    L   Z     49.5                                                                               2
                                                                             4. Including an inside fouling factor of 0.0010 (hr)(ft )
                                0.8                                            (°F)/Btu and an outside fouling factor of 0.0005
                      h L      21.1 W T
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