High Power Laser and Particle Beams, Volume. 37, Issue 5, 051002(2025)

Numerical simulation and measurement of two-dimensional thermal diffusion length under continuous heat loading

Yan Hua1,2, Xiaoling Li2,3,4, Yujing Han1, Xiaofeng Liu2,4, Dawei Li2,4、*, Yuan'an Zhao2,3,4, Kun Shuai2,3, and Kun Wang2
Author Affiliations
  • 1School of Physics and Technology, University of Jinan, Ji’nan 250022, China
  • 2Laboratory of Thin Film Optics, Shanghai Institute of Optics and Fine Mechanics, Shanghai 201800, China
  • 3Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 4Key Laboratory of Materials for High Power Laser, Chinese Academy of Sciences, Shanghai 201800, China
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    Figures & Tables(13)
    Schematic of the 1D thermal diffusion model under the continuous heat source
    Loading time is 10 s, temperature distribution without heat loss and surface temperature field distribution when TDC is 80 mm2/s, and corresponding LC and corresponding relative deviation δ1D under different TDCs
    Schematic diagram of 1D thermal diffusion model considering surface convective heat transfer and when the TDC is 80 mm2/s and the loading time is 10 s, the temperature rise along the x direction under different thicknesses
    Relative deviation results of the 1D thermal diffusion model under different heat source loading times when h = 10 W/(m2·K)
    Schematic of the 2D thermal diffusion model under the continuous heat source with a radius of 100 μm
    With a continuous heat source of radius 100 μm, TDC of 100 mm2/s, and loading time of 20 s, surface temperature distribution under thermal insulation, isotherm plots of the dashed box area in Fig.(a) and temperature rise along the radial direction from the edge of the heat source and variation of LC-2D with loading time
    Fitting result of LC-2D and heat source loading time when the TDC is 100 mm2/s, and coefficients A and α
    Relative deviation results of the 2D thermal diffusion model simulation under different heat source loading times
    Schematic of the 2D thermal diffusion model with a continuous heat source of a radius of 100 μm when h=10 W/(m2·K), and temperature rise along the radial direction from the edge of the heat source under different thicknesses when the TDC is 100 mm2/s and loading time is 20 s
    Relative deviation results of the 2D thermal diffusion model under different heat source loading times when h=10 W/(m2·K)
    Schematic diagram of test setup
    • Table 1. 1D thermal diffusion model simulation parameters

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      Table 1. 1D thermal diffusion model simulation parameters

      model length/mmmodel thickness/mmheat source power density/(W·cm−2)thermal diffusion coefficient/(mm2·s−1)heat source loading time/s
      5000.52001~2000~10
    • Table 2. Fitting results of A and B when the TDC ranges from 1~200 mm2/s

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      Table 2. Fitting results of A and B when the TDC ranges from 1~200 mm2/s

      TDC/(mm2·s−1)AB
      10.490.34
      91.040.33
      201.360.32
      401.720.32
      601.970.32
      802.150.32
      1002.320.32
      1202.460.32
      1402.590.32
      1602.700.32
      1802.810.32
      2002.900.32
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    Yan Hua, Xiaoling Li, Yujing Han, Xiaofeng Liu, Dawei Li, Yuan'an Zhao, Kun Shuai, Kun Wang. Numerical simulation and measurement of two-dimensional thermal diffusion length under continuous heat loading[J]. High Power Laser and Particle Beams, 2025, 37(5): 051002

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    Paper Information

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    Received: Sep. 6, 2024

    Accepted: Dec. 31, 2024

    Published Online: May. 22, 2025

    The Author Email: Dawei Li (lidawei@siom.ac.cn)

    DOI:10.11884/HPLPB202537.240314

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