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                                                                    Heat Transfer                                          191

                          fp   process-side fouling                                  k l 33,600D i G t 4  0.8 3c l   l 4  0.4
                           F   friction                                     h 1   0.023                                (10-175)
                                                                                         d i 3  l,b 43k l 4 b
                           g   gas phase
                           h   heating medium
                                                                             7. Select mechanical features of the vertical reboiler
                           i   inlet (feed leg) piping system
                                                                                                                        1
                                                                               a. Tubes are preferably 1-in. minimum O.D., 1  / 4 -in.,
                          m   mass
                                                                                    1
                                                                                  1  / 2 —2-in. maximum.
                           t   tube
                           l   L   liquid base                                 b. Vertical, with tube length preferable 6 ft to a maxi-
                           b   boiling                                            mum of 12 ft.
                           p   process on boiling side                       8. Determine average values
                          tp   two phase                                       a. Two-phase density,   tp , at x E /3.
                           A   point A in flow loop, Figure 10-110             b. Pressure drop factor, 
, at 2x E /3; 
 is from Figure
                           B   point B in flow loop, Figure 10-110                10-113.
                           C   point C in flow loop, Figure 10-110
                                                                                  Obtain X tt to use with Figure 10-113.
                           E   reboiler exit system
                                                                                  Due to slippage effects of the gas phase past the liq-
                                                                                  uid phase, the R L is not a simple function of the
                         At pressures greater than about 100 psig, the slope of
                                                                                  weight fraction of vapor. Using the parameter: 45
                         the vapor pressure curve, ( t/ p) s is low enough not
                         to influence the sensible heating zone equation, as
                                                                                X tt  = Correlation parameter, dimensionless (tt refers to the
                         most of the tube is in vaporization. However, at low       turbulent-turbulent flow mechanism)
                         pressures and vacuum service, a large portion of the
                         tube is in sensible heat.                                W L  0.9   g  0.5    L  0.1
                         The pressure at the inlet to the tubesheet at point B, 45  X tt   a  b  a  b  a  b            (10-176)
                                                                                  W g     L     g
                         Figure 10-110:
                                                                                  1   x  0.9   g  0.5    L  0.1
                                                                                a     b  a  b  a  b                    (10-177)
                          1Z A   Z B 2  L g    L 1 F in 2                          x
                      p B            	 p A                       (10-172)                   L
                             144g c          144
                                                                               Often, approximately:
                     Static pressure loss in outlet leg where density,   tp , varies with
                     vaporization:                                              W L    g  0.5
                                                                            X tt     a  b                              (10-178)

                        P static   g>g c  tp dZ                  (10-173)       W g    L
                                                                           where
                     where
                                                                                X tt   correlation for turbulent-turbulent flow,
                           F   friction loss at inlet, ft of liquid
                                                                                     dimensionless
                           Z   vertical height, ft                              W   mass flow rate, lb/sec
                                                2
                          p B   boiling pressure, lb/in abs
                           g   acceleration of gravity, ft/sec 2
                                                                               c. Determine   tp and 
 at exit conditions.
                     Subscripts
                                                                                tp   two phase
                           A   point A in flow loop
                                                                                                                       (10-179)
                                                                                  tp    g R g 	  l R l
                           B   point B in flow loop
                                                                                  and; R l   (1   R g ), volumetric fraction of liquid at
                       5. The calculation of the term for Equation 10-170, Figure
                                                                                  any point along the vertical tube. Read R l using Fig-
                         10-110:
                                                                                  ure 10-114 and 10-115.
                                  l  g c   F B C
                        p> L        	                            (10-174)
                               144g     L
                                                                                R l   volume fraction of liquid phase, dimensionless
                                                                                R g   volume fraction of vapor phase, dimensionless
                     Fair states that the second term in the preceding equation
                         45
                     may be neglected. Fair reports that typical units show the           2
                                                                                  Obtain 
 from Figure 10-116, for Equation 10-181
                     sensible heating zone at 4—60% for  T   20°F, and 4—49%
                                                                                  for both the average conditions and the exit condi-
                     for  T   30°F for selected organics and also water. The val-
                                                                                  tions
                     ues vary with pressure, Table 10-30.
                                                                                    1  g 2 0.5  1  l 2  0.1
                       6. The convection heat transfer rate inside the tubes is  9.                X tt                (10-180)
                         expressed by the Dittus-Boelter equation: 45, 82            1  l 2  1  g 2  1W l >W g 2 0.9
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