High Precision Numerical and Experimental Thermal Studies of Microelectronic Packages in Still Air Chamber Tests

P. M. Souare, M. K. Touré, Stéphanie Allard, B. Borzou, J. Sylvestre, B. Foisy, É. Duchesne
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引用次数: 3

Abstract

In order to contribute to a better understanding of the relevant thermal phenomena, we have performed a high precision comparison of a microelectronic package cooled by natural convection with experimental data obtained in the Still Air JEDEC configuration. The heat transfer problem was solved by a bidirectional coupling method iterating between the solid domain and the fluid domain. At the first iteration, the conduction heat transfer in the solid domain was solved using convection coefficients estimated from empirical relations available from the literature, for each solid-fluid interface. The numerical temperature field so-obtained at the solid-fluid interface was then applied as a boundary condition for the numerical simulation of the of air flow around the package by computational fluid dynamics (CFD), to find the velocity, pressure and temperature fields in the fluid domain. The convection coefficient of each element at the solid-fluid interfaces was then computed from the heat flux in the CFD results. Finally, the convection coefficients obtained from the CFD analysis were applied back to the solid domain, and the same procedure was repeated iteratively until the solution converged to a stable temperature field. The comparison between the heat transfer coefficients obtained from the CFD method and those obtained from the empirical relations shows significant differences, thus validating the utility and effectiveness of the iterative approach to obtain precise thermal results. The numerical results for temperature were compared with measurements from a test vehicle. The experiments were carried out under natural convection according to the JEDEC standards in a still air chamber for the horizontal and vertical positioning of the test vehicle. The large difference in temperature between the walls of the still air chamber and the test vehicle leads to large errors in predicted temperatures if the radiation effects are not properly treated in the heat transfer problem. The junction temperatures obtained with the numerical simulations in the vertical and horizontal orientations were in excellent agreement with the experimental measurements, with an absolute difference of less than 1 °C. Such agreement demonstrates the accuracy of our methodology for the modeling of natural heat transfer for microelectronic packages mounted on printed circuit boards in the horizontal and vertical orientations.
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微电子封装在静气室测试中的高精度数值和实验热研究
为了更好地理解相关的热现象,我们对自然对流冷却的微电子封装与在静止空气JEDEC配置下获得的实验数据进行了高精度比较。采用固体和流体之间的双向耦合迭代法求解传热问题。在第一次迭代中,利用从文献中获得的经验关系估计的对流系数,对每个固-流界面求解固体域的导热传热。将得到的固流界面数值温度场作为边界条件,利用计算流体力学(CFD)对包体周围的气流进行数值模拟,得到包体内部的速度场、压力场和温度场。然后根据CFD结果中的热流密度计算出各单元在固流界面处的对流系数。最后,将CFD分析得到的对流系数应用到固体区域,并重复相同的过程,直到解收敛到稳定的温度场。通过CFD方法计算的换热系数与经验关系式计算的换热系数的比较,发现了明显的差异,从而验证了迭代法在获得精确热结果方面的实用性和有效性。数值计算结果与试验车辆的测量结果进行了比较。实验在自然对流条件下,按照JEDEC标准在静止气室进行,用于测试车辆的水平和垂直定位。由于静气室壁面温度与试验车壁面温度存在较大差异,如果在传热问题中不适当处理辐射效应,将导致预测温度误差较大。数值模拟得到的垂直和水平方向结温与实验测量值吻合良好,绝对差值小于1°C。这种一致性证明了我们的方法在水平和垂直方向上安装在印刷电路板上的微电子封装的自然传热建模的准确性。
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