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                                                                    Heat Transfer                                          107

                                                                                               Table 10-21
                                                                            Shell-Side Equivalent Tube Diameters for Various Tube
                                                                                              Arrangements

                                                                                                              Equivalent
                                                                           Tube O.D. In.      Pitch        Diameter, d e , In.

                                                                                1         5 / 8 triangular      0.36
                                                                                / 2
                                                                                1         3 / 4 triangular      0.74
                                                                                / 2
                                                                                3         15 / 16 triangular    0.55
                                                                                / 4
                                                                                3         1 triangular          0.73
                                                                                / 4
                                                                                           1
                                                                                1         1 / 4 triangular      0.72
                                                                                 1         9
                                                                                1  / 4    1  / 16 triangular    0.91
                                                                                1         5 / 8 square          0.48
                                                                                / 2
                                                                                1         3 / 4 square          0.88
                                                                                / 2
                                                                                3         15 / 16 square        0.72
                                                                                / 4
                                                                                3         1 square              0.95
                                                                                / 4
                                                                                           1
                                                                                1         1 / 4 square          0.99
                                                                                 1         9
                                                                                1  / 4    1  / 16 square        1.23
                                                                           Used by permission:  Engineering Data Book Section, ©1960 and 1984.
                                                                           Wolverine Tube Inc.; and Kern, D.Q.  Process Heat Transfer, ©1950.
                                                                           McGraw-Hill Inc. All rights reserved.
                                                                               (b) The baffle window cut-out area minus the area
                                                                                  occupied by the tubes passing through this area is
                     Figure 10-55. Shell-side baffles and cross-flow area.        the net baffle opening flow area. Determine G b  , as
                                                                                          2
                                                                                  lb/sec (ft ) by dividing the flow rate of the shell side
                                                                                  by this new baffle opening flow area.
                                                                                                    2
                                                                               (c) Read G e  , lb/sec (ft ), from Figure 10-60 at the
                                                                                  intersection of G c   and G b  .
                                                                             2. Determine the physical property factor,   p  , using Fig-
                                                                               ure 10-61.
                                                                             3. Read the outside film coefficient, h o , using Figure 10-
                                                                               62.
                                                                               Note: This has the viscosity correction ( /  w ) 0.14 ,
                                                                               included. A correction multiplier must be used to
                                                                               correct the results of Figure 10-62 for tubes different
                                                                                    5
                                                                               than  / 8 -in. O.D.
                     Figure 10-56.  Equivalent diameter for tubes on shell side of  The charts of Rubin are somewhat similar and also useful
                                                                                              98
                     exchanger taken along the tube axis. (a) Square pitch, (b) triangular
                     pitch on 60° equilateral angles. (Used by permission: Kern, D. Q.  for solving the equation by graph rather than by calculator.
                     Process Heat Transfer, 1 Ed., ©1959. McGraw-Hill, Inc. All rights
                                        st
                     reserved.)                                            Shell-Side Velocities
                                                                             Figure 10-63 suggests reasonable maximum velocities for
                                                                           gases and vapors through heat exchangers. If entrained liq-
                       The charts are used as follows:                     uid or solids are present, the velocities should be reduced.
                                                                           Pressure drop must be checked to determine the accept-
                       1. Determine geometric mean mass velocity, G e  , using  ability of any selected velocity. Table 10-22 presents sug-
                         Figure 10-60.                                     gested maximum velocities for fluids flowing through
                                                        38
                         (a) Cross-flow area for this method equals the hori-  exchanger nozzles. The effect of entrance and exit losses on
                            zontal shell diameter minus the space occupied by  pressure losses should be checked, as they become impor-
                            the tubes along this diameter, multiplied by the baf-  tant in low pressure systems.
                                                            2
                            fle spacing. Determine G c  , lb/sec (ft ) by dividing  Figure 10-64 is convenient in selecting pipe or nozzle
                            the shell-side flow rate by the cross-flow area.  sizes.
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