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                       176                       Applied Process Design for Chemical and Petrochemical Plants

                                                                             Now, the h b coefficient can be used with the overall U equa-
                                                                             tion, including shell-side fouling, to calculate a final overall
                                                                             coefficient for boiling.
                                                                               The maximum flux equation of Zuber 128  is suggested as
                                                                             another check for kettle reboilers:

                                                                                       D b L   g 1  L    v 2  0.25
                                                                             q max   176c  dp v   c      d               (10-164)
                                                                                                    2
                                                                                        A n          v
                                                                             where
                                                                                 q max   tube bundle maximum flux, Btu/hr-ft 2
                                                                                  D b   tube bundle diameter, ft
                                                                                   L   length of tube bundle, straight tube, or average for
                                                                                      U-bundle, ft
                                                                                  A n   net effective total bundle outside tube surface area,
                                                                                      ft 2
                                                                                                               8
                                                                                   g   gravitational constant, 4.17   10 ft/hr 2
                                                                               The usual range of q max for organic fluids is 15,000—25,000
                                                                                      2
                                                                             Btu/hr (ft ). For aqueous solutions, the range is 30,000—
                                                                             40,000 Btu/hr (ft )
                                                                                            2
                       Figure 10-105. Nozzle connections for vertical thermosiphon reboilers.
                                                                              Example 10-18. Kettle Type Evaporator—Steam in Tubes

                       where                                                   Evaporate 25,000 lb/hr of CCl 4 at 55 psia and saturation
                           T LM   log mean temperature difference between liquid and
                                                                             temperature on shell side of a kettle-type U-tube evaporator.
                                hot fluid, °F
                                                                             Use steam as heating medium:
                            C s   surface condition constant
                                1.0 for commercial tubes
                                                                               1. Determine heat load, Q.
                                0.7 for highly polished tubes
                                                                             B.P. of CCl 4  at 55 psia at 128°C     262°F
                         For the entire bundle, the film boiling coefficient
                       (assumes all tubes boiling, no liquid head effect so that some  Heat of vaporization: l v  of CCl 4  at 128°C     71.5 Btu>hr
                       tubes are not boiling):                               Heat duty: Q     25,000 171.52     1,790,000 Btu>hr
                                                              1
                                                   1   0.2431.75	ln 1 Nvc 24   2. Determine steam conditions (saturated), and  t.
                                                5
                       h b   h on 30.7141p f   D o 24  4.2 10 E  c  d  (10-163)
                                                                                 Use  t of approximately 60°F (refer to Table 10-26 for
                                                  N vc
                                                                                 guide).
                       where
                            p f   tube pitch, ft                             Steam temperature   262 	 60   322°F
                            D o   tube O.D., ft                              Steam pressure   92 psia
                                                                             Latent heat (from steam tables)
                                                                             l v steam   893.4 Btu/hr
                           A o U¿ T LM
                       E
                            1p  f   D o 2                                                   1,790,000
                                                                             Steam required           2,000 lb>hr
                                                                                              893.4
                                                      2
                            A o   surface area per ft of tube; ft /ft
                           N vc   Number of tubes in vertical tier at centerline of
                                                                               3. Estimate unit size.
                                bundle
                                                                                                                              2
                                                                                 Use maximum heat flux Q/A    12,000 Btu/hr/ft .
                                   D B                                           Note that Table 10-26 indicates this value is quite safe.

                                                                                 You could use a higher allowable flux. Many designs are
                                 2p f  cos
                                      2                                          operating based upon this conservative value.
                            D B   bundle diameter, ft                        A     Q>1Q>A2
                               tube layout angle, degrees
                                90° for rotated square                           1,790,000      2
                                                                             A             149 ft
                                60° for triangular                                12,000
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