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PRESSURE RATING FOR SEPARATORS                                  211


              Example 11.4  Flash Calculation
              Complete the flash calculation for the mixture in the previous example. Verify
              that G  089.
                      .
              Answer
              Use the kernel of Equation 11.9 to find the mole fractions x  in the liquid
                                                                 i
              phase. Then use Equation 11.4 to find mole fractions y  in the gas phase.
                                                             i
              Vary G from 0.88 to 0.90 until the sums of x  and y  are both equal to 1.000.
                                                   i    i
                                                            z
                               Mole                  x i     i
              Component        Fraction z  k‐Value      1  k i  1  G   y i  k x
                                                                          i i
                                      i
              Methane            0.55       36.3          0.02          0.62
              Propane            0.30        1.3          0.24          0.31
              Normal pentane     0.15        0.1          0.74          0.07





            11.3  PRESSURE RATINg FOR SEPARATORS

            Separators and storage tanks on well locations are usually cylindrical in shape.
            Storage tanks at refineries are mostly cylindrical, but some are spherical. These tanks
            may be considered thin‐walled pressure vessels (Hibbeler, 2011) when the thickness
            t of the wall is small relative to the inner radius of the cylinder r  or sphere r . The
                                                                ic
                                                                          is
            thin‐walled criterion may be written as
                                      t  01  or  t  01                   (11.12)
                                          .
                                                    .
                                     r ic      r is
              The principal stresses in thin‐walled pressure vessels are hoop (circumferential)
            stress and axial (longitudinal) stress when the external pressure is small relative to
            the internal pressure from a filled container (see Figure 11.4). The hoop stress σ  of a
                                                                           h



                                                  h
                                                                 a

                                    r ic        a
                       t
                                                         h
                                    p



                    FIgURE 11.4  Stresses on a thin‐walled cylindrical pressure vessel.
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