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264                  Valve  Selection Handbook























             Figure 7-3.  Back Pressure Correction Factor  Kb, Accounting for  the Effect of Built-Up
             and  Superimposed Back  Pressure on Valve Lift of  Bellows Balanced-Pressure  Relief
             Valves  in Gas or Vapor Service.  (Reprinted from API RP 520  Part \, December  / 976,
             Courtesy of American  Petroleum  Institute.)


            Sizing  Equations for  Dry Saturated  Steam

               Historically,  pressure  relief  valves  for  dry  saturated  steam  are  sized  in
            the U.S. on Napier's  steam flow equation. The equation has been formulat-
            ed empirically  for conditions  of  choked  flow.  In  the  lower pressure  range
            up to  105 bara (1515 psia), Napier's  equation gives similar results to sizing
            equations  applicable for  any gas, using an isentropic exponent of k =  1.3.
            At higher pressures,  however, Napier's  equation can lead to gross oversiz-
            ing. This led L. Thompson  and O.B. Buxton, Jr. to develop a capacity cor-
            rection factor (K N) for use in conjunction with Napier's equation. 50

            Customary Mixed Imperial Units





                   = 100  where P! < 1515 psia
               K N
                     0.1906P.-1000          r,  ^r    •    j     ™ir    •
                                       L
                   =                  where P,  < 1515 psia and up to 3215 psia
               K N N                         1
                     0.2292P,-1061
            K SH = superheat correction factor Table 7-3.
               Values  of  the  correction  factor for  high-pressure saturated  steam,  K N,
            may be obtained from  Figure 7-4.
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