Acta Photonica Sinica, Volume. 52, Issue 4, 0429002(2023)
Simultaneous Measurement of Thermal and Mutual Diffusion Coefficients by Dynamic Light Scattering
Figures & Tables(15)
Fig. 3. Schematic and physical map of the dynamic light scattering experimental system
Fig. 4. Temperature regulation schematic of the experimental system
Fig. 5. Normalized intensity correlation function and deviation of equimolar fraction of n-Hexane/n-Decane system
Fig. 6. Hydrodynamic modes verification for temperature and concentration fluctuations of n-Hexane/n-Decane system with equal molar fraction and relation between incident angle and relaxation time
Fig. 7. Comparison of experimental data and fitting equation of thermal diffusivity of n-Hexane/n-Decane system with equimolar fraction and NIST REFPROP 10.0 data.
Fig. 8. Comparison of the experimental data of thermal diffusivity and mutual diffusivity of n-Hexane/n-Hexadecane system with mole fractions of 0.06/0.94 respectively，fitted equations and literature values
Fig. 9. Experimental data and fitting equation of thermal diffusivity and mutual diffusivity of n-Hexane/n-Hexadecane system with mole fractions of 0.852/0.148 respectively
Table 1. Detailed information of chemical sample
View tableView in ArticleTable 1. Detailed information of chemical sample
Chemical CAS No. Molecular formula Molar mass/（g·mol-1） Source Purity（mass fraction） n-Hexane 110-54-3 C6H14 86.18 Aladdin 0.993 5 n-Decane 124-18-5 C10H22 142.29 Aladdin 0.990 0 n-Hexadecane 544-76-3 C16H34 226.44 Sigma-Aldrich 0.990 0
Table 2. i~iii groups of binary system parameters at 298 K
View tableView in ArticleTable 2. i~iii groups of binary system parameters at 298 K
Group Composition x1 η/（mPa·s） n3［ 19 ］n4［ 20 ］（n4-n3）/n3/% i n-Hexane（1）+n-Decane（2） 0.501 0 0.493 1.371 4 1.409 9 2.80 ii n-Hexane（1）+n-Hexadecane（2） 0.060 0 2.772 1.371 4 1.434 8 4.62 iii n-Hexane（1）+n-Hexadecane（2） 0.852 0 0.493 1.371 4 1.434 8 4.62
Table 3. Fitting results of time autocorrelation function parameters
View tableView in ArticleTable 3. Fitting results of time autocorrelation function parameters
Coefficient Fitting results Uncertainty/% b0 0.999 39 0.05 b1 0.017 07 0.76 τC，t/μs 4.424 81 1.34 b2 0.013 09 1.20 τC，c/μs 148.280 2 3.38
Table 4. Validation of hydrodynamic modes
View tableView in ArticleTable 4. Validation of hydrodynamic modes
Θi/（°） q2/（×10-12 m-2） τ τC，t τ τC，c a /（×109·m2·s-1） D12 /（×109·m2·s-1） 8.00 2.70 22.06 4.42 0.67 148.28 81.65 2.46 8.20 2.84 22.89 4.37 0.69 144.93 80.66 2.42 8.40 2.98 24.36 4.11 0.73 136.99 81.85 2.45 9.00 3.41 27.24 3.67 0.82 121.95 79.81 2.41 10.00 4.21 34.41 2.91 1.03 97.09 81.81 2.44 11.00 5.08 41.20 2.43 1.23 81.30 81.13 2.43 12.00 6.03 49.33 2.03 1.44 69.44 81.81 2.38
Table 5. i~iii Thermal and mutual diffusivity experimental data and literature data and NIST Refprop 10.0 data
View tableView in ArticleTable 5. i~iii Thermal and mutual diffusivity experimental data and literature data and NIST Refprop 10.0 data
T /K a /（×109·m2·s-1） 100Δa/a a*/（×109·m2·s-1） D12 /（×109·m2·s-1） 100ΔD12/D12 D D Le Group i 298.15 80.79 3.54 82.66 2.44 3.50 2.53 — 33.14 303.15 79.39 3.97 81.45 2.59 3.91 — — 30.57 313.15 76.55 3.83 79.08 2.99 3.42 — — 25.59 323.15 75.07 3.75 76.80 3.33 3.23 — — 22.52 333.15 72.34 3.62 74.61 3.87 3.53 — — 18.68 343.15 70.19 3.51 72.51 4.28 3.34 — — 16.42 353.15 67.09 3.35 70.51 4.58 3.56 — — 14.65 363.15 65.46 3.27 68.61 5.11 2.97 — — 12.82 373.15 63.01 3.15 66.81 5.55 3.61 — — 11.35 383.15 61.92 3.17 65.12 6.14 3.91 — — 10.09 393.15 59.89 2.99 63.51 6.50 4.42 — — 9.22 Group ii 298.15 84.34 3.81 — 0.85 9.89 — 0.86 98.96 303.15 83.35 3.27 — 0.96 5.83 — — 88.18 308.15 82.25 3.09 — 1.03 5.44 — — 80.20 313.15 81.07 2.55 — 1.12 4.93 — — 72.67 323.15 79.67 2.13 — 1.35 4.59 — — 59.16 333.15 76.43 1.61 — 1.71 4.33 — — 44.71 348.15 74.12 2.31 — 1.97 3.94 — — 37.55 373.15 68.81 1.66 — 2.66 3.50 — — 25.85 398.15 65.22 2.31 — 3.75 3.13 — — 17.40 423.15 60.83 2.82 — 4.24 3.87 — — 14.34 448.15 57.24 3.21 — 4.73 4.01 — — 12.11 Group iii 298.15 81.54 2.25 — 1.97 2.28 — — 41.43 308.15 78.07 3.57 — 2.18 2.91 — — 35.75 323.15 73.36 2.49 — 2.62 1.73 — — 28.00 338.15 70.79 2.19 — 3.13 1.43 — — 22.63 353.15 67.86 2.14 — 3.67 1.26 — — 18.50 368.15 63.54 2.39 — 4.18 1.87 — — 15.19 383.15 59.91 2.38 — 4.74 3.09 — — 12.63 398.15 56.72 2.51 — 5.14 3.45 — — 11.03
Table 6. Polynomial fitting parameters of thermal and mutual diffusivity for groups i~iii
View tableView in ArticleTable 6. Polynomial fitting parameters of thermal and mutual diffusivity for groups i~iii
Coefficient Group i Group ii Group iii a0/（×109·m2·s-1） -127.243 55 218.483 36 694.626 51 a1/（×109·m2·s-1·K-1） 2.333 62 -0.729 65 -4.868 72 a2/（×1012·m2·s-1·K-2） -7.889 08 1.168 81 13.091 44 a3/（×1016·m2·s-1·K-3） 80.499 60 -7.665 7 -122.788 09 D0/（×109·m2·s-1·K-1） 3.213 80 52.303 39 73.651 45 D1/（×109·m2·s-1·K-1） -0.055 17 -0.463 18 0.667 16 D2/（×1012·m2·s-1·K-2） 0.221 20 1.329 41 1.990 94 D3/（×1015·m2·s-1·K-3） 0.151 05 -1.188 76 -1.877 24
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Peng GAO, Guanjia ZHAO, Jianguo YIN, Suxia MA. Simultaneous Measurement of Thermal and Mutual Diffusion Coefficients by Dynamic Light Scattering[J]. Acta Photonica Sinica, 2023, 52(4): 0429002
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Received: Sep. 30, 2022
Accepted: Nov. 28, 2022
Published Online: Jun. 21, 2023
The Author Email: ZHAO Guanjia (xjtuthermo@foxmail.com)
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