随着电子设备热量耗散不断增大，散热问题已成为制约其发展的关键因素。湍流通道散热器是一种重要电子设备散热器，其散热原理是温度依赖变物性湍流传热问题，拓扑优化方法可实现其性能的大幅度提升。然而，现有拓扑优化方法多基于常物性层流传热模型，由于强非线性造成的数值稳定性和优化全局性难题导致尚缺乏变物性湍流传热模型的拓扑优化方法，难以实现湍流通道散热器结构精确化拓扑优化。本项目拟通过提出基于k-ε雷诺时均湍流模型的统一化等效法，建立稳定化拓扑优化模型；发展变物性湍流传热耦合场的连续伴随灵敏度分析技术，探究并揭示温度依赖变物性湍流传热拓扑优化机理和参数影响机理；提出执行变物性湍流传热拓扑优化的无灰度区域、高精度且全局性较好的全局自适应隐函数法；获得解决温度依赖变物性湍流传热问题的拓扑优化方法。本研究为实现湍流通道散热器结构精确化拓扑优化提供理论和方法，对保障电子设备安全高效运行具有重要意义。

With the increasing heat dissipation of electronic equipment, the heat dissipating problem has become a key factor restricting its development. The turbulent-flow channelled heat sink (TCHS) is a kind of important heat sinks for electronic equipment whose heat dissipating principle is the turbulent flow heat transfer problem with temperature-dependent thermophysical properties. The topology optimization method can greatly enhance the performance of TCHS. However, most of the existing topology optimization methods are based on laminar heat transfer model with constant thermophysical properties. Few topology optimization methods have been proposed for the turbulent flow heat transfer model with variable thermophysical properties because of the difficult problems of the numerical stability and the global optimization performance caused by the strong nonlinearity of the model. Therefore, the present method is difficult to realize precise topology optimization of TCHS’s structure. This project intends to propose a k-ε type Reynolds time-averaged turbulence model based unified equivalent method for establishing a stable topology optimization model; develop a continuous adjoint sensitivity analysis technique for the coupled turbulent flow heat transfer field with variable thermophysical properties, to explore and reveal the topology optimization mechanism and parameter influence mechanisms of turbulent flow heat transfer with temperature-dependent thermophysical properties; propose a global adaptive implicit function method with no gray area, high precision and better global performance for implementing topology optimization of the turbulent flow heat transfer problem with temperature-dependent thermophysical properties; and obtain the topology optimization method for the turbulent flow heat transfer problem with temperature-dependent thermophysical properties. This research provides theories and methods for achieving the precise topology optimization of TCHS’s structure, which is of great significance to ensure the safe and efficient operation of electronic equipment.