Acta Optica Sinica, Volume. 42, Issue 22, 2212001(2022)
Theory and Experiment for Viscosity Measurement of Newtonian Fluids in Full Viscosity Range
Figures & Tables(12)
Fig. 1. Comparison between theoretical solution and first-order approximate solution of dispersion equation for capillary waves
Fig. 2. Diagrams of surface light scattering experimental system. (a) Schematic diagram; (b) physical diagram
Fig. 4. Surface tension and liquid viscosity calculated by Eqs. (7) and (8) varying with angle. (a) Liquid viscosity; (b) surface tension
Fig. 5. Normalized intensity correlation function and power spectrum of capillary wave at given wave number q for R1336mzz (Z).(a) Normalized intensity correlation function; (b) power spectrum function
Fig. 6. Normalized intensity correlation function and power spectrum of capillary wave at given wave number q for Ethyl myristate.(a) Normalized intensity correlation function; (b) power spectrum function
Fig. 7. Comparison of surface tension and liquid viscosity of R1336mzz (Z) at different angle in time and frequency domains at373.05 K. (a) Liquid viscosity; (b) surface tension
Fig. 8. Comparison of surface tension and viscosity obtained in time and frequency domains for R1336mzz (E). (a) Liquid viscosity;(b) surface tension
Fig. 9. Surface tension and viscosity obtained in time and frequency domains at 298.14 K for Ethyl myristate. (a) Liquid viscosity;(b) surface tension
Table 1. Basic physical parameters of R1336mzz(E), R1336mzz(Z) and Ethyl myristate
View tableTable 1. Basic physical parameters of R1336mzz(E), R1336mzz(Z) and Ethyl myristate
Sample CAS （Chemical Abstracts Service） No. Chemical formula Tc /K pc /MPa M /（g·mol-1） Purity （mass fraction） R1336mzz（E） 66711-86-2 C3H2F6 403.53 2.7792 164.05 0.99510 R1336mzz（Z） 692-49-9 C3H2F6 444.50 2.8950 164.05 0.99940 Ethyl myristate 124-06-1 C16H32O2 705.18 1.3380 256.42 0.99700
Table 2. Surface tension and viscosity of R1336mzz (Z) obtained by Eqs. (7) and (8) at different incident angles
View tableTable 2. Surface tension and viscosity of R1336mzz (Z) obtained by Eqs. (7) and (8) at different incident angles
Θi /（°） ρ /（kg·m-3） ρ′ /（kg·m-3） η′ /（µPa·s） η /（mPa·s） σ /（mN·m-1） ηβ /（mPa·s） σβ /（mN·m-1） 1.188 1142.2 45.8 12.9 0.1930 5.51 0.1735 5.50 1.386 1142.2 45.8 12.9 0.1842 5.37 0.1647 5.36 1.584 1142.2 45.8 12.9 0.1780 5.48 0.1641 5.47 1.782 1142.2 45.8 12.9 0.1734 5.50 0.1630 5.49 1.980 1142.2 45.8 12.9 0.1725 5.55 0.1632 5.54 2.178 1142.2 45.8 12.9 0.1713 5.63 0.1639 5.62 2.376 1142.2 45.8 12.9 0.1697 5.60 0.1634 5.60 2.574 1142.2 45.8 12.9 0.1668 5.57 0.1596 5.56 2.772 1142.2 45.8 12.9 0.1657 5.60 0.1611 5.59 2.970 1142.2 45.8 12.9 0.1663 5.60 0.1622 5.60 3.168 1142.2 45.8 12.9 0.1655 5.60 0.1605 5.59
Table 3. Surface tension and viscosity of R1336mzz (E), R1336mzz (Z) and Ethyl myristate obtained by experiment
View tableTable 3. Surface tension and viscosity of R1336mzz (E), R1336mzz (Z) and Ethyl myristate obtained by experiment
Reference material T /K Y Θi /（°） ηt /
（mPa·s）
σt /
（mN·m-1）
ηω /（mPa·s） 100ur（η）
（k=1）
σω /
（mN·m-1）
100ur（σ）
（k=1）
R1336mzz （Z） 373.05 157.62 1.188 0.1930 5.51 0.1919 0.73 5.53 0.06 373.05 143.67 1.386 0.1842 5.37 0.1862 0.90 5.38 0.09 373.05 136.84 1.584 0.1780 5.48 0.1783 0.64 5.49 0.06 373.05 128.14 1.782 0.1734 5.50 0.1737 0.54 5.51 0.05 373.05 117.41 1.980 0.1725 5.55 0.1736 0.62 5.55 0.06 373.05 109.60 2.178 0.1713 5.63 0.1722 0.47 5.63 0.05 373.05 101.83 2.376 0.1697 5.60 0.1709 0.58 5.61 0.06 373.05 96.65 2.574 0.1668 5.57 0.1692 0.86 5.58 0.09 373.05 91.14 2.772 0.1657 5.60 0.1671 0.80 5.60 0.09 373.05 84.62 2.970 0.1663 5.60 0.1719 0.90 5.61 0.12 373.05 79.95 3.168 0.1655 5.60 0.1698 1.07 5.61 0.13 R1336mzz （E） 303.20 59.35 ±3.000， ±3.100， ±3.200 0.2711 9.29 0.2780 0.96 9.31 0.14 323.39 67.91 ±3.000， ±3.100， ±3.200 0.2115 6.93 0.2162 0.93 6.94 0.13 343.08 71.48 ±3.000， ±3.100， ±3.200 0.1652 4.85 0.1695 1.18 4.86 0.15 363.23 66.88 ±3.000， ±3.100， ±3.200 0.1245 2.90 0.1273 1.35 2.90 0.16 383.19 45.46 ±3.000， ±3.100， ±3.200 0.08841 1.19 0.0927 1.48 1.19 0.20 Ethyl myristate 298.14 1.34 1.386 3.4463 21.35 3.9903 0.63 22.94 0.44 298.14 1.11 1.584 3.5987 22.18 4.0763 0.59 23.68 0.44 298.14 1.00 1.782 3.6553 23.22 4.1300 0.60 24.28 0.46 298.14 0.88 1.980 3.7394 23.53 4.1638 0.74 24.54 0.59 298.14 0.76 2.178 3.8554 23.90 4.1534 1.18 24.50 0.96 298.14 0.70 2.376 3.9066 24.73 4.1779 1.14 24.70 0.95
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Guanjia Zhao, Xing Zhang, Jianguo Yin, Suxia Ma. Theory and Experiment for Viscosity Measurement of Newtonian Fluids in Full Viscosity Range[J]. Acta Optica Sinica, 2022, 42(22): 2212001
Paper Information
Category: Instrumentation, Measurement and Metrology
Received: Mar. 31, 2022
Accepted: May. 23, 2022
Published Online: Nov. 7, 2022
The Author Email: Zhao Guanjia (xjtuthermo@foxmail.com)
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