Page 143 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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P2: IML/FFX
                           QC: IML/FFX
  P1: IML/FFX
            AT029-Manual
                        AT029-Manual-v7.cls
  AT029-03
                                           June 22, 2007
                                                           3. CHARACTERIZATION OF PETROLEUM FRACTIONS 123
                                                           P
                                   R    T1: IML      N   14:23                  A
                                    i
                                          1.02       1.04       1.06       1.08       1.00
                                          P                     N                A
                                 VGC
                                          0.76       0.84       0.92       1.00       1.08
                                                                     N
                                                            A                        P
                                   K
                                      9         10         11         12         13         14



                                                        N
                                           P                               A
                                   I
                                     0.26       0.28      0.30       0.32       0.34       0.36
                                   FIG. 3.24—Comparison of different characterization factors for prediction
                                 of composition of petroleum fractions (see Table 3.21).
            the API-TDB [2]. The VI is defined as [2]              in tables in the standard methods (ASTM D 2270, ISO 2909)
                                                                  as well as in the API-TDB [2]. However, for viscous oils with
                                   L − U
                                                                                                              2
            (3.51)             VI =     100                       a kinematic viscosity at 100 C of greater than 70 mm /s, the
                                                                                         ◦
                                     D                            values of L and D are given by the following relationships [5]:
            where                                                             L = 0.8353Y + 14.67Y − 216
                                                                                        2
                 L = kinematic viscosity of reference oil at 40 C with 0  (3.52)         2
                                                      ◦
                    VI oil, cSt.                                              D = 0.6669Y + 2.82Y − 119
                 U = kinematic viscosity of oil at 40 C whose VI is to be  where Y is the kinematic viscosity of oil whose VI is to be cal-
                                             ◦
                    calculated, cSt.                              culated at 100 C in cSt. In English units in which reference
                                                                             ◦
                 D = L – H, in cSt.                               temperatures of 37.8 and 98.9 C (100 and 210 F) are used,
                                                                                                         ◦
                                                                                           ◦
                 H = kinematic viscosity of reference oil at 40 C with 100  values of numerical coefficients in Eq. (3.52) are slightly dif-
                                                     ◦
                    VI oil, cSt.                                  ferent and are given in the API-TDB [2].
              The reference oils with 0 and 100 VI and the oil whose
                                                                                       2
            VI is to be calculated have the same kinematic viscosity at  (3.53)  L = 1.01523Y + 12.154Y − 155.61
            100 C. In English units of system, VI is defined in terms of     D = 0.8236Y − 0.5015Y − 53.03         --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                                                                                      2
               ◦
            viscosity at 37.8 and 98.9 C, which correspond to 100 and
                                  ◦
            210 F, respectively [2]. However, in the SI units, viscosity at  Viscosity index defined by Dean and Davis in the form of
               ◦
            reference temperatures of 40 and 100 C have been used to  Eq. (3.51) does not work very well for oils with VI values of
                                            ◦
            define the VI [5]. For oils with a kinematic viscosity of 100 C  greater than 100. For such oils ASTM D 2270 describes the
                                                            ◦
                            2
            of less than 70 mm /s (cSt.), the values of L and D are given  calculation method and it is summarized below for viscosity
                                                                  at reference temperatures of 40 and 100 C [4, 5]:
                                                                                                   ◦
                                                                                         N
                                                                                       10 − 1
                 TABLE 3.22—Values of parameter m for different types  (3.54)     VI =        + 100
                             of hydrocarbons [36].                                     0.00715
                 Hydrocarbon type                     m           where N is given by the following relation:
                 Paraffins                           −8.79
                 Cyclopentanes                      −5.41                              log H − log U
                 Cyclohexanes                       −4.43        (3.55)            N =     log Y
                 Benzenes                             2.64
                 Naphthalenes                        19.5         in which U and Y are kinematic viscosity of oil in cSt whose
                 Condensed Tricyclics                43.6         VI is to be calculated at 40 and 100 C, respectively. Values of
                                                                                               ◦




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