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Approximation of an optimal convective heat transfer coefficient

机译：最佳对流传热系数的近似值

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摘要

The problem studied in this paper is that of a heat source (electronic chip) placed on the top surface of a flat thermal spreader which is cooled by convection on the opposite surface. An optimal convection heat transfer coefficient yielding maximal heat removal from the chip is found using an optimal control technique. We control the solution of the heat equation with the convective boundary condition, taking the heat transfer coefficient as the control. We show the existence and uniqueness of an optimal control. A conjugate gradient method is used to solve the optimal control problem. The results show that the temperature distributions corresponding to the controlled solution are lower and display a flatter profile than those corresponding to the uncontrolled solution. This study can provide guidance in designing micro heat pipe heat sinks, which have emerged as an effective technique for cooling electronic components.
机译：本文研究的问题是放置在平面散热器上的热源（电子芯片），该散热器通过相对表面上的对流冷却。使用最佳控制技术可以找到产生最佳散热效果的最佳对流传热系数。我们用对流边界条件控制传热方程的解，以传热系数为控制。我们展示了最优控制的存在和唯一性。共轭梯度法用于解决最优控制问题。结果表明，与非受控溶液相比，与受控溶液相对应的温度分布更低，并且显示出更平坦的轮廓。该研究可为设计微型热管散热器提供指导，而微型热管散热器已成为冷却电子组件的有效技术。

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