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Table 9

Statistical analysis of the mixing rules.

Mixing rule AAD (%) MD (%) σ (cP) R + a R − b
Pure mixing rules
M1 Arrhenius (v)c 14.4 21.3 0.22 0 14
M2 Arrhenius (w)d 12.3 15.4 0.18 0 14
M3 Arrhenius (m)e 32.0 38.1 0.43 14 0
M4 Kendall and Monroe (v) 31.7 38.9 0.45 0 14
M5 Kendall and Monroe (w) 30.2 34.3 0.42 0 14
M6 Kendall and Monroe (m) 8.9 15.0 0.12 14 0
M7 Linear (v) 49.4 56.3 0.69 0 14
M8 Linear (w) 24.5 30.3 0.35 0 14
M9 Linear (m) 50.9 58.6 0.71 0 14
M10 Double Log (v) 8.3 12.4 0.13 2 12
M11 Double Log (w) 6.2 9.9 0.09 1 11
M12 Double Log (m) 26.1 32.0 0.36 14 0
M13 Bingham 148.6 159.2 2.03 0 14
M14 Cragoe 99.9 99.9 1.36 14 0
Mixing rules with blending index
M16 Chevron (v) 10.8 16.4 0.17 2 12
M17 Chevron (w) 7.7 12.1 0.11 0 14
M18 Chevron (m) 49.9 54.9 0.68 14 0
Mixing rules with additional parameters
M20 Power law (v)f 4.7 13.8 0.08 7 7
M21 Power law (w)g 2.5 8.2 0.04 5 9
M22 Power law (m)h 2.0 6.6 0.03 6 8
M23 Lederer (v)i 2.0 5.8 0.03 6 8
M24 Lederer (w)j 2.3 7.7 0.04 5 7
M25 Lederer (m)k 2.3 5.9 0.04 7 7
M26 Lederer/Shul 25.5 81.1 0.40 7 7
M27 Lobe 50.6 64.4 0.73 14 0
M28 Latour 70.2 75.7 0.95 14 0

a) Number of positive Residuals (Eq. (11)). b) Number of negative Residuals (Eq. (11)). c) (v) Volume fraction. d) (w) Composition in weight. e) (m) Composition in mole. f) n = −0.2210. g) n = −0.1795. h) n = 0.4714. i) α = 0.0265. j) α = 0.0286. k) α = 0.599. l) Predictive α, Shu [26].

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