Journal of Thermodynamics / 2013 / Article / Tab 3 / Research Article
Modified Lennard-Jones Potentials with a Reduced Temperature-Correction Parameter for Calculating Thermodynamic and Transport Properties: Noble Gases and Their Mixtures (He, Ne, Ar, Kr, and Xe) Table 3 Deviations between experimental and calculated viscosities of pure noble gases.
Compound Number of data points Average RMSDr in η (%)
(K)
Reference Present study L-J Kihara Lucas Simsci Refprop Regression results Helium 9 5.27 18.3 13.2 3.23 2.05 2.83 80–1300 [24 ] Neon 36 1.50 1.86 3.76 2.80 4.29 2.48 30–500 [24 ] Argon 30 1.84 2.72 5.33 1.73 1.32 0.29 10–650 [24 ] Krypton 19 2.87 12.2 8.56 1.23 0.91 1.85 150–600 [24 ] Xenon 23 0.49 9.88 4.10 2.50 0.57 2.13 300–430 [24 ] Average 117** 1.90 6.60 5.74 2.25 2.08 1.78 Prediction results 22 4.11 8.33 2.99 4.95 0.98 3.94 50–973 [26 ] 31 4.62 9.03 2.96 3.92 0.60 10.0 20–1000 [29 ] 1 4.44 8.82 0.76 2.87 0.64 1.32 300 [30 ] 8 2.34 6.52 4.03 6.74 0.91 0.84 298–1010 [31 ] 1 4.83 9.93 0.14 2.26 0.06 0.75 303 [32 ] 13 3.15 7.32 4.24 6.36 1.31 1.43 198–473 [33 ] 8 2.90 6.86 4.17 6.42 0.40 0.53 298–973 [34 ] 8 2.71 6.65 4.27 6.54 0.23 0.42 298–973 [35 ] 6 2.98 6.87 4.37 6.55 0.36 0.57 298–973 [36 ] 9 3.26 7.90 2.47 4.72 0.33 0.49 298–678 [37 ] 9 2.51 6.68 3.83 6.17 0.26 0.36 298–778 [38 ] 5 4.05 8.85 1.32 3.48 0.09 0.41 298–473 [39 ] 1 2.91 7.66 2.66 5.3 3.68 3.46 767 [40 –42 ] 6 4.24 8.91 1.37 3.54 0.35 0.32 298–512 [43 ] 1 5.28 10.2 0.08 2.03 0.09 0.62 292 [44 ] 1 5.72 10.5 0.77 1.34 0.76 0.03 291 [45 , 46 ] Helium 2 6.29 11.1 1.40 0.98 1.39 0.76 291 [47 ] 2 5.06 10.1 12.7 2.12 0.13 0.60 293–303 [48 ] 4 5.48 10.4 0.95 1.82 0.51 0.81 237–308 [49 ] 6 5.91 10.7 1.51 0.36 1.50 2.50 72–291 [50 ] 10 5.01 9.61 4.31 1.77 3.08 30.8 14–293 [51 ] 5 5.30 10.2 0.46 2.23 1.84 1.83 297–523 [52 ] 2 5.07 10.1 0.13 2.11 0.12 0.59 293–303 [53 ] 1 4.85 9.99 0.02 2.16 0.14 0.54 303 [54 ] 10 4.94 9.75 1.01 2.86 1.40 1.38 293–523 [55 ] 39 6.84 10.4 2.73 6.18 5.94 22.0 14–973 [56 ] 74 3.40 7.42 3.73 5.97 0.87 0.58 100–1000 [57 ] 72 5.77 10.3 6.75 4.09 15.7 62.2 200–1000 [58 ] 8 2.69 6.63 4.28 6.55 0.24 0.44 298–973 [59 ] 11 4.70 9.22 1.89 3.51 0.46 0.49 100–600 [60 ] 19 5.32 9.72 3.05 4.30 0.35 1.68 80–1000 [61 ] 7 1.32 4.25 5.50 7.98 3.10 3.45 250–1000 [62 ] 13 3.83 8.54 1.89 4.34 2.64 2.53 373–973 [63 ] Average 415* 4.49 8.76 3.75 4.82 3.97 15.1 Neon 27 2.04 1.54 8.00 3.14 3.04 15.2 50–973 [26 ] 6 1.58 1.22 7.79 2.45 1.47 2.20 100–600 [29 ] 8 1.58 0.72 8.36 3.65 0.57 27.4 298–973 [64 ] 13 1.83 1.04 8.60 3.54 1.04 21.2 298–973 [33 ] 8 2.07 1.24 8.91 4.21 0.92 27.1 298–973 [35 ] 6 2.22 1.37 8.97 4.30 1.09 29.8 298–973 [36 ] 8 2.27 1.39 9.05 4.36 1.08 26.9 298–973 [65 ] 5 1.13 0.46 7.91 1.82 1.07 2.72 298–473 [39 ] 7 1.80 1.00 8.66 3.64 0.91 11.3 298–778 [38 ] 9 1.67 0.90 8.47 2.90 1.15 3.52 298–673 [37 ] 3 1.07 2.10 5.89 0.82 0.66 0.47 298–348 [66 ] 3 4.46 5.53 2.74 4.21 3.99 2.91 298–348 [67 , 68 ] 3 0.49 1.50 6.45 0.29 0.13 1.07 298–348 [69 ] 6 1.03 2.01 6.02 0.81 0.70 0.71 298–348 [40 –42 ] 3 0.27 1.17 6.78 0.22 0.58 1.39 298–348 [70 ] 3 0.19 1.17 6.76 0.22 0.33 1.39 298–348 [71 ] 3 0.75 0.75 7.36 0.97 1.00 2.11 298–348 [72 ] 3 0.56 0.52 7.38 0.81 0.97 2.04 298–348 [73 ] 3 0.49 0.56 7.32 0.74 0.92 1.98 298–348 [74 ] 3 1.09 0.89 7.56 1.30 1.28 2.38 298–348 [75 ] 3 0.58 0.50 7.39 0.83 0.99 2.06 298–348 [76 ] 4 0.65 0.305 7.45 0.64 1.61 1.71 237–308 [49 ] 2 0.65 0.328 7.50 0.78 1.35 1.94 293–303 [53 ] 5 2.20 1.986 8.31 2.24 2.10 3.38 72–291 [77 ] 5 1.08 2.994 8.15 1.92 9.59 7.60 20–293 [51 ] 6 2.08 2.176 7.54 2.44 2.05 2.91 273–523 [52 ] 2 0.65 0.328 7.50 0.78 1.35 1.94 293–303 [53 ] 2 1.12 2.129 5.76 1.14 0.47 0.17 291 [47 ] 2 0.52 0.947 6.98 0.51 0.92 1.39 291 [45 , 46 ] 52 0.98 1.568 7.83 1.68 6.64 13.4 20–1000 [56 ] 32 1.24 0.991 7.71 3.11 0.68 22.1 100–950 [57 ] 92 4.80 4.116 5.86 4.23 12.4 7.89 27–320 [58 ] 8 2.08 1.242 8.92 4.21 0.93 27.1 298–973 [59 ] 11 1.77 2.693 5.38 1.53 1.83 1.92 100–600 [60 ] 19 1.35 1.439 7.15 2.68 1.10 20.4 80–1000 [61 ] 1 1.28 2.29 5.60 1.30 0.60 0.14 291 [48 ] 4 1.04 2.09 5.92 0.57 1.51 0.71 293–523 [78 ] Average 380* 2.25 2.07 7.24 2.87 4.83 12.0 Argon 22 2.37 2.77 7.56 2.17 2.23 2.14 50–973 [26 ] 63 2.78 2.25 5.85 2.38 2.98 1.94 90–500 [79 ] 28 1.63 1.99 6.96 1.73 1.48 1.06 87–1000 [29 ] 19 2.45 2.04 6.46 2.02 1.55 8.98 173–1597 [80 ] 1 1.71 0.48 6.00 0.18 0.17 0.02 298 [32 ] 8 1.14 2.59 8.39 2.39 0.58 1.47 298–973 [64 ] 11 0.88 2.64 8.05 1.96 0.87 0.90 298–473 [33 ] 6 1.20 2.92 8.25 2.23 0.97 0.61 298–767 [81 ] 9 1.48 3.43 8.85 2.86 1.20 3.30 298–1124 [31 ] 8 1.17 3.03 8.45 2.43 0.63 1.54 298–973 [35 ] 7 1.21 2.97 8.24 2.36 0.73 1.41 298–973 [65 ] 5 0.92 1.99 7.36 1.33 0.95 0.62 298–473 [82 ] 5 0.85 1.95 7.36 1.29 0.92 0.60 300–473 [83 ] 2 8.16 6.93 11.4 5.32 6.43 7.39 55–90 [84 ] 1 2.01 0.12 5.79 0.34 0.31 0.07 273 [85 ] 1 3.90 1.56 4.81 1.25 6.76 26.7 1373 [86 ] 1 1.98 0.21 5.77 0.41 0.40 0.19 293 [87 ] 1 2.99 0.62 5.40 0.89 5.27 12.3 1100 [40 –42 ] 1 5.90 3.55 3.33 2.25 9.28 80.4 1873 [88 ] 9 0.94 2.79 8.22 2.08 0.80 0.49 298–773 [38 ] 6 1.18 2.84 8.17 2.16 0.85 0.45 298–770 [89 ] 8 0.93 2.68 8.07 1.95 0.93 0.46 298–673 [37 ] 21 2.21 0.83 5.73 0.83 0.89 0.39 202–394 [90 ] 5 12.8 13.9 17.4 13.6 12.2 11.4 775–1053 [40 –42 ] 7 12.0 12.7 15.9 12.5 11.7 29.9 775–1838 [76 ] 5 3.75 1.70 5.30 1.20 5.79 36.5 569–1838 [91 ] 6 5.64 4.66 8.52 3.63 3.25 3.96 72–291 [50 ] 2 1.79 0.44 11.2 0.27 0.26 0.11 293–303 [48 ] 1 2.19 0.01 5.59 0.60 0.58 0.37 291 [45 , 46 ] 5 5.22 4.39 8.44 3.36 3.00 3.72 72–291 [77 ] 4 2.00 0.48 5.92 0.55 1.08 1.46 293–523 [52 ] 2 1.72 0.50 6.00 0.23 0.22 0.09 293–303 [53 ] 2 1.90 0.31 5.83 0.37 0.36 0.20 293–303 [47 ] 8 2.09 0.49 5.83 0.64 1.10 1.47 293–523 [55 ] 46 13.3 13.4 15.0 13.3 13.3 13.3 90–1000 [56 ] 124 1.55 2.99 8.44 2.59 0.90 6.64 100–1600 [57 ] 68 2.21 1.35 5.62 1.55 2.17 1.04 87–700 [58 ] 135 1.53 2.67 7.81 2.21 1.46 1.34 80–1000 [92 ] 63 1.60 1.43 6.50 1.13 1.50 0.57 90–500 [93 ] 1 1.52 0.66 6.17 0.01 0.00 0.14 300 [94 ] 8 1.17 3.04 8.81 2.44 0.64 1.53 298–973 [59 ] 11 1.65 1.53 6.50 1.24 1.43 0.56 100–600 [60 ] 20 4.41 3.96 8.23 3.19 3.18 3.52 60–1000 [61 ] 7 0.85 1.43 7.06 0.82 1.29 2.98 250–1000 [62 ] 5 2.19 2.35 7.11 1.97 1.7 1.72 323–523 [95 ] 5 0.81 1.48 6.98 0.76 0.58 0.47 298–423 [96 ] 4 1.59 1.10 6.34 0.59 0.50 0.38 298–373 [97 ] Average 787* 2.75 3.14 7.85 2.84 2.44 3.76 Krypton 29 3.41 6.47 8.26 3.40 4.00 59.7 50–3273 [26 ] 6 2.96 4.24 6.53 1.85 1.84 3.40 100–600 [29 ] 1 3.90 1.95 4.82 0.83 0.50 0.91 293 [73 ] 2 3.40 2.59 5.36 0.58 0.51 1.53 293–300 [30 ] 8 1.70 6.11 7.76 2.28 1.88 3.05 298–973 [64 ] 6 1.92 5.77 7.54 2.15 1.83 3.18 298–767 [81 ] 8 1.89 6.25 7.86 2.51 2.07 3.20 298–973 [65 ] 8 1.88 6.07 7.67 2.25 1.83 2.97 298–973 [35 ] 9 1.60 6.61 8.20 2.80 2.40 3.27 298–1151 [31 ] 9 1.87 5.82 7.53 2.05 1.71 3.10 298–778 [38 ] 6 1.98 5.68 7.45 2.06 1.75 3.09 298–770 [89 ] 1 5.59 0.36 3.27 2.47 2.13 0.70 293 [67 , 68 ] 1 5.08 0.84 3.74 1.97 1.64 0.21 293 [66 ] 1 5.42 0.52 3.42 2.30 1.95 0.54 293 [76 ] 12 2.01 5.43 7.27 1.83 1.57 2.93 298–773 [98 ] 4 2.59 3.19 6.23 1.14 1.28 2.56 237–308 [49 ] 2 4.93 0.82 3.82 1.96 1.63 0.43 273–293 [52 ] 2 3.80 2.13 4.93 0.70 0.37 1.02 273–293 [54 ] 2 3.72 2.10 4.40 0.69 0.68 1.10 273–293 [45 , 46 ] 1 4.34 1.49 3.82 1.27 0.90 0.48 293 [47 ] 15 2.54 5.66 7.18 2.0 1.87 5.45 293–1600 [56 ] 78 2.12 5.77 7.43 2.06 1.69 2.60 300–1300 [57 ] 71 4.64 4.98 7.24 3.83 3.77 4.28 119–950 [58 ] 235 2.02 6.98 8.64 3.61 3.57 12.5 80–2000 [92 ] 51 8.49 7.44 8.66 7.50 7.45 7.40 125–500 [93 ] 8 1.86 6.08 7.69 2.26 1.84 2.99 298–973 [59 ] 10 4.62 2.00 4.19 2.0 2.09 0.26 150–600 [60 ] 26 1.89 6.29 7.95 3.19 3.20 13.4 140–2000 [61 ] Average 612* 3.03 6.18 7.94 3.42 3.32 10.2 22 5.51 7.31 5.84 2.10 9.51 12.3 50–973 [26 ] 6 5.06 6.39 5.33 1.86 6.59 12.0 100–600 [29 ] 17 2.09 4.22 4.46 2.18 1.34 6.71 173–797 [80 ] 8 3.13 7.60 5.87 1.42 2.11 7.94 298–973 [35 ] 9 3.04 7.43 5.86 1.34 2.24 4.06 298–778 [38 ] 7 1.24 2.65 3.75 2.51 0.46 5.94 202–298 [90 ] 4 3.75 5.22 6.18 2.20 3.08 2.30 237–308 [49 ] 3 0.53 2.62 2.99 2.32 0.74 2.90 273–373 [99 ] Xenon 2 0.26 2.42 3.24 2.83 0.66 3.45 291 [45 , 46 ] 9 2.45 6.88 5.27 1.07 1.42 8.06 293–1000 [56 ] 41 2.88 7.43 5.61 1.22 1.72 16.1 300–1300 [57 ] 67 2.32 5.41 4.68 1.97 1.32 12.0 165–1250 [58 ] 130 3.77 6.66 9.69 1.43 3.44 8.68 105–1000 [92 ] 47 3.54 5.07 5.27 3.74 3.34 6.56 170–500 [93 ] 8 3.11 7.52 5.77 1.60 2.08 7.96 298–973 [59 ] 9 1.99 3.64 3.42 3.04 1.80 3.59 200–600 [60 ] 14 2.45 5.87 4.93 1.85 1.42 8.25 180–1000 [61 ] Average 403* 3.21 6.10 6.57 1.93 2.87 9.44 Overall 2597** 3.09 5.06 6.92 3.15 3.31 9.19
Number of data points for each noble gas.
Total number of data points for all noble gases.