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<p>In this research, the constructal theory has been used to investigate the geometrical configuration of cavities embedded inside a body in internal heat generation to cool through a converting heat transfer mechanism. Constructal theory aims to present an optimum structure for cooling electronic elements having rectangular geometry and a fork-shaped cavity with internal heat generation. Accordingly, the resulting structure must minimize the maximum temperature achieved within the interested part for a specific heat generation. In this research, the dimensions of the cavities have been investigated to reduce the maximum temperature generated. After validating the presented model with the analytical solution, the results are analyzed, and the optimal or near-optimal conditions are proposed. Numerical simulations have been conducted using the PDEtools toolbox of MATLAB software. Results imply that for a specific <i>ϕ</i>, by increasing the <i>H</i><sub>0</sub>/<i>L</i><sub>0</sub>, the maximum temperature of the body converges to a certain value, and there is not much change in its importance. The results display the significant effect of the heat transfer coefficient on maximum temperature. For α = 0.1, α = 0.25 and α = 0.5, the maximum body temperature is obtained equal to 27.3&#xa0;°C, 8.26&#xa0;°C and 1.38&#xa0;°C, respectively.</p>

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Determining the optimal structure of fork-shaped cavities for cooling electronic components generating heat

  • 期刊论文

  • 发表日期：

    2025年1月18日

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  • Zaijin Xie,
  • Yongman Lin,
  • Weihua Guan,
  • Lili Gan

摘要

In this research, the constructal theory has been used to investigate the geometrical configuration of cavities embedded inside a body in internal heat generation to cool through a converting heat transfer mechanism. Constructal theory aims to present an optimum structure for cooling electronic elements having rectangular geometry and a fork-shaped cavity with internal heat generation. Accordingly, the resulting structure must minimize the maximum temperature achieved within the interested part for a specific heat generation. In this research, the dimensions of the cavities have been investigated to reduce the maximum temperature generated. After validating the presented model with the analytical solution, the results are analyzed, and the optimal or near-optimal conditions are proposed. Numerical simulations have been conducted using the PDEtools toolbox of MATLAB software. Results imply that for a specific ϕ, by increasing the H0/L0, the maximum temperature of the body converges to a certain value, and there is not much change in its importance. The results display the significant effect of the heat transfer coefficient on maximum temperature. For α = 0.1, α = 0.25 and α = 0.5, the maximum body temperature is obtained equal to 27.3 °C, 8.26 °C and 1.38 °C, respectively.