Acta Photonica Sinica, Volume. 52, Issue 4, 0429002(2023)

Simultaneous Measurement of Thermal and Mutual Diffusion Coefficients by Dynamic Light Scattering

Peng GAO... Guanjia ZHAO*, Jianguo YIN and Suxia MA |Show fewer author(s)
Author Affiliations
  • Key Laboratory of Clean and Efficient Combustion and Utilization in the Circulating Fluidized Bed, College of Electrical and Power Engineering, Taiyuan University of Technology, Taiyuan 030024, China
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    Figures & Tables(15)
    Schematic of the scattering volume
    Schematic of dynamic light scattering geometry
    Schematic and physical map of the dynamic light scattering experimental system
    Temperature regulation schematic of the experimental system
    Normalized intensity correlation function and deviation of equimolar fraction of n-Hexane/n-Decane system
    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
    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.
    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
    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

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      Table 1. Detailed information of chemical sample

      ChemicalCAS No.Molecular formulaMolar mass/(g·mol-1SourcePurity(mass fraction)
      n-Hexane110-54-3C6H1486.18Aladdin0.993 5
      n-Decane124-18-5C10H22142.29Aladdin0.990 0
      n-Hexadecane544-76-3C16H34226.44Sigma-Aldrich0.990 0
    • Table 2. i~iii groups of binary system parameters at 298 K

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      Table 2. i~iii groups of binary system parameters at 298 K

      GroupCompositionx1η/(mPa·s)n319n420n4-n3)/n3/%
      in-Hexane(1)+n-Decane(2)0.501 00.4931.371 41.409 92.80
      iin-Hexane(1)+n-Hexadecane(2)0.060 02.7721.371 41.434 84.62
      iiin-Hexane(1)+n-Hexadecane(2)0.852 00.4931.371 41.434 84.62
    • Table 3. Fitting results of time autocorrelation function parameters

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      Table 3. Fitting results of time autocorrelation function parameters

      CoefficientFitting resultsUncertainty/%
      b00.999 390.05
      b10.017 070.76
      τC,t/μs4.424 811.34
      b20.013 091.20
      τC,c/μs148.280 23.38
    • Table 4. Validation of hydrodynamic modes

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      Table 4. Validation of hydrodynamic modes

      Θi/(°)q2/(×10-12 m-2τC,t-1 /(×10-4s-1τC,tτC,c-1 /(×10-4s-1τC,ca /(×109·m2·s-1D12 /(×109·m2·s-1
      8.002.7022.064.420.67148.2881.652.46
      8.202.8422.894.370.69144.9380.662.42
      8.402.9824.364.110.73136.9981.852.45
      9.003.4127.243.670.82121.9579.812.41
      10.004.2134.412.911.0397.0981.812.44
      11.005.0841.202.431.2381.3081.132.43
      12.006.0349.332.031.4469.4481.812.38
    • Table 5. i~iii Thermal and mutual diffusivity experimental data and literature data and NIST Refprop 10.0 data

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      Table 5. i~iii Thermal and mutual diffusivity experimental data and literature data and NIST Refprop 10.0 data

      T /Ka /(×109·m2·s-1100Δa/aa*/(×109·m2·s-1D12 /(×109·m2·s-1100ΔD12/D12D12**/(×109·m2·s-1D12***/(×109·m2·s-1Le
      Group i
      298.1580.793.5482.662.443.502.5333.14
      303.1579.393.9781.452.593.9130.57
      313.1576.553.8379.082.993.4225.59
      323.1575.073.7576.803.333.2322.52
      333.1572.343.6274.613.873.5318.68
      343.1570.193.5172.514.283.3416.42
      353.1567.093.3570.514.583.5614.65
      363.1565.463.2768.615.112.9712.82
      373.1563.013.1566.815.553.6111.35
      383.1561.923.1765.126.143.9110.09
      393.1559.892.9963.516.504.429.22
      Group ii
      298.1584.343.810.859.890.8698.96
      303.1583.353.270.965.8388.18
      308.1582.253.091.035.4480.20
      313.1581.072.551.124.9372.67
      323.1579.672.131.354.5959.16
      333.1576.431.611.714.3344.71
      348.1574.122.311.973.9437.55
      373.1568.811.662.663.5025.85
      398.1565.222.313.753.1317.40
      423.1560.832.824.243.8714.34
      448.1557.243.214.734.0112.11
      Group iii
      298.1581.542.251.972.2841.43
      308.1578.073.572.182.9135.75
      323.1573.362.492.621.7328.00
      338.1570.792.193.131.4322.63
      353.1567.862.143.671.2618.50
      368.1563.542.394.181.8715.19
      383.1559.912.384.743.0912.63
      398.1556.722.515.143.4511.03
    • Table 6. Polynomial fitting parameters of thermal and mutual diffusivity for groups i~iii

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      Table 6. Polynomial fitting parameters of thermal and mutual diffusivity for groups i~iii

      CoefficientGroup iGroup iiGroup iii
      a0/(×109·m2·s-1-127.243 55218.483 36694.626 51
      a1/(×109·m2·s-1·K-12.333 62-0.729 65-4.868 72
      a2/(×1012·m2·s-1·K-2-7.889 081.168 8113.091 44
      a3/(×1016·m2·s-1·K-380.499 60-7.665 7-122.788 09
      D0/(×109·m2·s-1·K-13.213 8052.303 3973.651 45
      D1/(×109·m2·s-1·K-1-0.055 17-0.463 180.667 16
      D2/(×1012·m2·s-1·K-20.221 201.329 411.990 94
      D3/(×1015·m2·s-1·K-30.151 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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    Paper Information

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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)

    DOI:10.3788/gzxb20235204.0429002

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