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                                                                    Heat Transfer                                          131











































                     Figure 10-75. Condensing inside horizontal tubes. (Used by permission: Akers, W. W., Deans, H .A., and Crosser, O. K. Chemical Engineering
                     Progress, V. 55, No. 29, ©1959. American Institute of Chemical Engineers. All rights reserved.)






                       2. The mean temperature of condensate film before   becomes thicker and normally changes from streamline to
                         subcooling: 82                                    turbulent flow at some region between the top and bottom
                                                                           of the tube. Accordingly, the local film coefficient decreases
                      t m      t sv      3 1t sv      t w 2>8    (10-108)  until the fluid film becomes turbulent, and then the film
                                                                           coefficient increases. Colburn 30, 70  has indicated that at a
                     where                                                 point on Figure 10-76 where 4G /  f   2,100 the transition
                           t sv   temperature of saturated vapor           occurs, and the mean coefficient for condensation inside a
                           t w   temperature of surface                    vertical tube when 4G /    2,100 satisfies the entire tube.
                                                                           Nusselt’s recommendation is 4G /  f   1,400.  70
                                                                             The distance from the top of the tube to the transition
                                                                                           70
                     Vertical Tube Bundles, Single Pass Downward           region is expressed :
                                                                    30
                       Figure 10-76 is the semi-empirical curve of Colburn as     2,668   f 5>3
                     recommended by Kern. 70                                x c    2>3  1>3                            (10-109)
                                                                                  kg 1T v   t w 2
                       Upward flow should be avoided as the film coefficient falls
                     considerably below the value for the downward flow; how-  where
                     ever, see later section for details.                  units are previously listed
                       The condensation inside vertical tubes is similar as to  T v   temperature of vapor, °F
                     mechanisms for condensation outside each tube. As the       t w   temperature of tube wall, °F
                     condensate flows down the tube (inside), the liquid film    x c   distance from top (effective) of tube, ft
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