Page 191 - Pipeline Rules of Thumb Handbook
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178     Pipeline Rules of Thumb Handbook

         Limiting Factors for Sonic Velocity (k = 1.4) Excerpted from  ( DPP¢ )  = 0 754
                                                                            .
                                                                     1
         Crane 410Pg A-22                                             sonic
                                                               Since (DP/P¢ 1 ) sonic < (DP/P¢ 1 ) actual , the flow is sonic in the piping.
                                                               Thus, we will use  Ysonic = 0.680 in the flow calculations
                         K      DP/P¢ 1    Y
                                                               (Crane 410 Eq. 3-20).
                                                                                                      *
                         1.2     .552     .588                   Since (DP/P¢ 1 ) sonic = .754, then  DP = .754 P¢ 1 = 0.754 *
                                                               1114.7 = 840.5psi.
                         1.5     .576     .606                   Calculating the system capacity is completed by substitut-
                                                               ing the known values into Crane 410 Equation 3-20.
                         2.0     .612     .622
                                                                               D PP
                                                                                 *¢ 1
                                                                             2
                                                                 ¢= 678
                                                                         Y
                         3       .622     .639                  q m     * *d
                                                                                  1
                                                                               KT S g
                         4       .697     .649                                         840 5 *1114 7
                                                                                          .
                                                                                                 .
                                                                                .
                                                                 ¢= 678 *0 680 *(3 068 ) 2
                                                                          .
                                                                q m
                                                                                        .
                         6       .737     .671                                         7 33 *960 *1
                                                                 ¢= 50 074
                         8       .762     .685                  q m   ,    SCFM  - Air
                        10       .784     .695                   The ASME Pressure Vessel Code, Section VIII, Division 1,
                                                               paragraph UG-127(a)(2)(b), also requires that the calculated
                        15       .818     .702
                                                               system capacity using the resistance to flow method must also
                                                               be multiplied by a factor of 0.90 to account for uncertainties
                        20       .839     .710
                                                               inherent with this method.
                        40       .883     .710
                                                                               *
                                                                q ¢ -m ASME  = 50 074 0 90  = 45 066  SCFM Air
                                                                                       ,
                                                                          ,
                                                                                 .
                       100       .926     .710
                                                               Thus, the system capacity is greater than the required process
                                                               capacity (40,000 SCFM Air ).
                                     1114 7  - 14 7
                                         .
                                               .
         For this example:  DPP¢ ) actual  =  1114 7  = 0 9868
                         (
                                                    .
                              1
                                            .
                                                               Reprinted with permission—The Fike Corp. Blue Springs, MO and
         From table A-22 at K T = 7.33                         Flow Control Magazine
         Variable orifice rotary control valves


           Flow coefficient (C v ). The flow coefficient, which de-
         scribes the flow capacity of a valve, is an empirically deter-
         mined constant equal to the valve’s flow capacity in U.S.
         gallons per minute of water at 60°F when a pressure drop of
         1psi exists across the valve in its most wide-open position.
         Table 1 lists C v ’s for all sizes of DANTROL-270 valves, with
         and without trim.
           The flow capacity of a valve in a partially open position may
         be calculated by selecting the appropriate C v from Table 1
         and multiplying it times the percent of maximum C v at the
         desired position on the selected flow curve in Figure 2.              Figure 1. Orifice Opening.
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