Abstract In this study, thermal resistance of a double-layer micro-channel heat sink (DL-MCHS) with different ratio of upper and bottom channel heights in outlet (α=HU/HB) and the angle of channel inclination (θ), was investigated numerically. The advantage of DL-MCHS in reducing thermal resistance compared with single-layer micro-channel heat sink (SL-MCHS) was quantitatively demonstrated. It was confirmed that both α and θ have significant impacts on the heat transfer performance of DL-MCHS. Accordingly, response surface methodology as a time-efficient optimization method was employed to obtain the optimal geometry for DL-MCHS. It turned out that the optimized geometric parameters were α = 2 and θ = 6°. In this case, compared to SL-MCHS, the thermal resistance of DL-MCHS is reduced by 34.6%. Our work should be of practical value for the design of high efficiency micro heat sink with various geometric parameters.

中文翻译：

---

一种有效的双层微通道散热器几何参数优化方法

摘要 本研究对具有不同出口上下通道高度比(α=HU/HB)和通道倾角(θ)的双层微通道散热器(DL-MCHS)的热阻进行研究，进行了数值研究。与单层微通道散热器 (SL-MCHS) 相比，DL-MCHS 在降低热阻方面的优势得到了定量证明。已经证实，α 和 θ 对 DL-MCHS 的传热性能都有显着影响。因此，采用响应面方法作为一种省时的优化方法来获得 DL-MCHS 的最佳几何形状。结果表明，优化后的几何参数为 α = 2 和 θ = 6°。在这种情况下，与SL-MCHS相比，DL-MCHS的热阻降低了34.6%。