Chinese Optics, Volume. 15, Issue 4, 780(2022)

Uncertainty analysis and evaluation of a high-precision radiative heat-flux meter

Xiang-yuan ZHENG1,2, Xin YE1、*, Zhi-tao LUO1, Kuo-chuan WANG3, and Bao-qi SONG1
Author Affiliations
  • 1Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Changchun 130033, China
  • 2University of the Chinese Academy of Sciences, Beijing 100049, China
  • 3Beijing Aerospace Institute of Metrology and Measurement Technology, Beijing 100076, China
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    Figures & Tables(13)
    Principle diagram of a radiation heat-flux system
    Schematic diagram of the measurement principle of a radiometric heat-flux meter
    Schematic diagram of optical path for absorptance measurement
    Results of the black body cavity absorptance measurement
    Schematic diagram of the diffraction effect on the heat-flux meter
    Schematic diagram of the testing optical path
    • Table 1. Measurement results of absorptance

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      Table 1. Measurement results of absorptance

      黑体腔信号电压UC/V 白板信号电压US/V 背景信号电压UB/V 白板反射率 ${\rho _{\rm{S}}}$
      均值不确定度均值不确定度均值不确定度均值不确定度
      0.037534×10−58.870581.284×10−40.024794×10−50.950.05
    • Table 2. Measurement results of the aperture’s diameter

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      Table 2. Measurement results of the aperture’s diameter

      项目D/mm
      方向12.220
      方向22.221
      方向32.219
      方向42.220
      均值2.220
    • Table 3. Uncertainty of the sampling value of the heating voltage

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      Table 3. Uncertainty of the sampling value of the heating voltage

      加热电压u(ADr)/V u(Vrefm)/V u(VerfT)/V u(ADS)/V u(Verfs)/V 均值/Vu(U)/V ur(U)/V
      第一阶段0.00016355×10−64×10−60.0005424.5571×10−60.690.0005660.082%
      第二阶段0.00016355×10−64×10−60.0004384.5571×10−62.190.0004680.021%
    • Table 4. Uncertainty of resistance of the heating wire

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      Table 4. Uncertainty of resistance of the heating wire

      u(Rm)/Ω u(RS)/Ω 均值/Ωu(R)/Ω ur(R)/Ω
      0.0000150.00314477.80.003140.00066%
    • Table 5. Uncertainty of the thermoelectric sampling code value

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      Table 5. Uncertainty of the thermoelectric sampling code value

      MstateiMstatei+1Mtext
      均值172.14291731.18513.9392
      标准不确定度0.154980.245910.0017
      相对不确定度0.09%0.014%0.003%
    • Table 6. Diffraction parameter definitions

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      Table 6. Diffraction parameter definitions

      r/mm ds/mm rd/mm dd/mm R/mm v0σuvvsvd
      175100421$ {\rm{Max} }\left( { {v_{\rm{s}}},{v_{\rm{d}}} } \right)$$\dfrac{ { {\rm{Min} }\left( { {v_{\rm{s}}},{v_{\rm{d}}} } \right)} }{ { {\rm{Max} }\left( { {v_{\rm{s}}},{v_{\rm{d}}} } \right)} }$$u = \dfrac{ {2\text{π} } }{\lambda }{R^2}\left( {\dfrac{1}{ { {d_{\rm{d} } } } } - \dfrac{1}{ { {d_{\rm{s} } } } } } \right)$$ {v_0}(1 + \sigma x) $$ \dfrac{ {2{\text{π}} } }{\lambda }\dfrac{ {R{r_{\rm{s}}} } }{ { {d_{\rm{s}}} } }$${v_d} = \dfrac{ {2{\text{π}} } }{\lambda }\dfrac{ {R{r_{\rm{d}}} } }{ { {d_{\rm{d}}} } }$
    • Table 7. Test results of power

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      Table 7. Test results of power

      测量次数辐射热流计样机功率 测量结果/mW 标准探测器功率 测量结果/mW
      10.980810.98886
      20.980700.98889
      30.980120.98885
      40.980060.98887
      50.979080.98890
      60.979420.98893
      70.979310.98890
      80.980240.98891
      90.979770.98891
      100.978840.98891
      110.979310.98890
      120.978320.98890
      均值0.979670.98889
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    Xiang-yuan ZHENG, Xin YE, Zhi-tao LUO, Kuo-chuan WANG, Bao-qi SONG. Uncertainty analysis and evaluation of a high-precision radiative heat-flux meter[J]. Chinese Optics, 2022, 15(4): 780

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    Paper Information

    Category: Original Article

    Received: Feb. 8, 2022

    Accepted: --

    Published Online: Sep. 6, 2022

    The Author Email:

    DOI:10.37188/CO.2022-0023

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