Multi-objective optimal design of microchannel cooling heat sink using topology optimization method
Multi-objective optimal design of microchannel cooling heat sink using topology optimization method
复制标题
基于拓扑优化方法的微通道冷却散热器多目标优化设计
DOI：
10.1080/10407782.2019.1682872
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发表时间：
2020-01
影响因子：
2
通讯作者：
Xiaomin Liu
中科院分区：
文献类型：
--
作者：
Xin Dong;Xiaomin Liu
摘要本文提出了一种基于密度的拓扑优化方法来求解热-流耦合问题，该方法将Navier-Stokes方程和热输运方程耦合起来。建立了基于TO法的固定固体发热板的二维微通道热沉模型。这些设备，如空气冷却散热器，最近在热冷却设备的工程应用中引起了相当大的关注。本研究利用所提出的优化方法，获得高效能且功能多样化的散热装置。优化设计问题是一个多目标优化问题，其中包括热阻，能量耗散和压力降。在数值实现中，Helmholtz型偏微分方程（PDE）的滤波器和平滑Heaviside投影滤波器被用来产生离散的解决方案，从而解决不适定性。最后，以微通道热沉设计为例，验证了设计方法的有效性。最后通过数值算例分析了加权系数的变化对优化结果的影响。
Abstract This article presents a density-based topology optimization (TO) method for a coupled thermal-fluid problem, in which the Navier-Stokes and heat transport equations are coupled. The two-dimensional microchannel heat sink model with fixed solid heat generation plates based on TO method is developed. These devices, such as air-cooled heat sinks, have recently attracted considerable attention in engineering applications of thermal cooling devices. The high-performance and functional diversification cooling devices are obtained by the proposed optimization method in this research. An optimal design problem is formulated as a multi-objective optimization problem, which includes heat resistance, energy dissipation and pressure drop. In the numerical implementation, Helmholtz-type Partial Differential Equation (PDE) based filter and smoothed Heaviside projection filter are utilized to produce discrete solutions, thus solving ill-posedness. Furthermore, TO result of channel layout obtained for a microchannel heat sink design is presented as an example to illustrate the validity of design methodology. Finally, several numerical examples are provided to study the effects of the weighting coefficient changes on the optimal results.
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