Acta Optica Sinica, Volume. 38, Issue 1, 0112002(2018)

Measurement of Liquid Diffusion Coefficient Based on Double Liquid-Core Cylindrical Lens: Equivalent Observation Altitude Measurement Method

Yan Xia1, Weidong Meng1, Yan Chen1, Fangxi Song1, and Xiaoyun Pu1,2、*
Author Affiliations
  • 1 School of Physics and Astronomy, Yunnan University, Kunming, Yunnan 650091, China
  • 2 International Research Center for Optoelectronic Energy Materials, Yunnan University, Kunming, Yunnan 650091, China
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    Figures & Tables(9)
    Diagram of experimental facility. (a) Physical device; (b) top view of designed DLCL and image capture display system
    Sums of SA versus refractive index of rear liquid core for KCl diffusion system, the insert is that the SA varies with the refractive index of front liquid core, when the rear liquid core is filled with the best reduced SA liquid n'=1.3974 for KCl diffusion system
    Imaging principle of the DLCL. (a) Imaging with uniform liquid; (b) imaging with two different liquids (n1<n2); (c) imaging with concentration gradient distribution formed along Z-axis (n1<n2<n3=nc<n4)
    Top view of the imaging of the designed DLCL
    Fitting curve of image width Σi and refractive index ni
    Diffusion images at different moments. (a) 630 s; (b) 1230 s; (c) 1830 s; (d) 2430 s; (e) 3030 s; (f) 3630 s; (g) 4230 s
    Deviation square of concentration for different diffusion coefficients Di
    • Table 1. Data of refractive index, experiment image width and calculated image width by Gaussian formula

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      Table 1. Data of refractive index, experiment image width and calculated image width by Gaussian formula

      Refractive index n1.33301.33411.33511.33551.33701.33761.33791.3389
      Calculated image width Σ /pixel121926655161834
      Experiment image width Σ /pixel1238969531571540
      Refractive index n1.33991.34081.34181.34271.34731.35011.35681.3600
      Calculated image width Σ /pixel6184110134254327501584
      Experiment image width Σ /pixel6381108130251327505590
    • Table 2. Diffusion coefficients measured at different observation altitudes

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      Table 2. Diffusion coefficients measured at different observation altitudes

      Z /pixels11351165117511851195120512151235
      D /×10-5cm2/s1.8141.8361.8531.84631.85741.86311.87361.8826
      Deviation /×10-5cm2/s-0.0393-0.0173-0.0003-0.0070.00410.00980.02030.0293
      Relative error-1.47%-0.27%0.65%0.29%0.89%1.20%1.77%2.26%
      Average value1.8533×10-5 cm2/s
      Standard deviation0.0216×10-5 cm2/s
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    Yan Xia, Weidong Meng, Yan Chen, Fangxi Song, Xiaoyun Pu. Measurement of Liquid Diffusion Coefficient Based on Double Liquid-Core Cylindrical Lens: Equivalent Observation Altitude Measurement Method[J]. Acta Optica Sinica, 2018, 38(1): 0112002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jul. 17, 2017

    Accepted: --

    Published Online: Aug. 31, 2018

    The Author Email: Pu Xiaoyun (xypu@163.com)

    DOI:10.3788/AOS201838.0112002

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