面向发动机再生冷却的流热耦合拓扑优化
TOPOLOGY OPTIMIZATION OF COUPLED THERMAL-FLUID PROBLEMS FOR REGENERATIVE COOLING ENGINES
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摘要: 再生冷却作为一种主动热防护形式, 被广泛应用于高超声速飞行器发动机的热防护系统. 为了进一步提高再生冷却结构的换热性能, 发展了考虑变热物理性质和输运性质的流热耦合拓扑优化设计方法. 首先建立了流热耦合拓扑优化模型, 基于连续伴随法对考虑变物性的伴随方程和灵敏度进行了推导, 并利用开源计算平台OpenFOAM构建了拓扑优化求解器, 耦合了滤波和投影等技术以缓解可能出现的数值问题, 结合了建表−插值法对冷却剂物性和相关偏导项进行计算. 随后对流热耦合结构进行了拓扑优化设计, 结果表明: 随着能量耗散约束值的增大, 通道的拓扑结构愈加复杂, 冷却通道内的流动分离和再混合现象更加显著. 通过提取5种拓扑优化构型(Case 1 ~ Case 5), 对三维拓扑优化结构的流动换热特性进行了数值模拟分析, 发现冷却剂的流动分离和再混合诱导产生复杂的二次涡结构, 有助于激发湍动能, 增强通道的局部换热性能. 最终Case 3 ~ Case 5中的拓扑优化构型相较于传统构型均起到了强化换热效果, 平均努塞尔数增益百分比分别为12.6%, 16.0%和23.4%.Abstract: As an active cooling technique, the regenerative cooling is widely applied in the thermal protection system of hypersonic vehicle engines. To further improve the heat transfer performance of regenerative cooling engines, the topology optimization of coupled thermal-fluid problem considering variable thermodynamic and transport properties was investigated. First, a coupled thermo-fluid topology optimization model was established, the adjoint equation and sensitivity considering variable thermodynamic and transport properties were derived based on the continuous adjoint method. The solver is built on the open source platform OpenFOAM, the filtering and projection techniques are adopted for alleviating numerical issues during the optimization process. A look-up table method along with an interpolation module are included to calculate the thermophysical properties and corresponding partial derivatives. Then the topology optimization of the coupled thermal-fluid system was conducted. The results show that as the power dissipation increases, the topology layouts becomes more complex, and the flow separation and remixing of coolant are stimulated. By further extracting five optimized topology layouts of the coupled thermal-fluid structures, i.e. Cases 1 ~ 5, the flow and heat transfer properties of the three-dimensional cooling channel are numerically evaluated. It is found that the complex flow separation and remixing facilitate the formation of vortices and stimulate the turbulence energy and thus improve the local heat transfer performance of the channels. The heat transfer performance of Cases 3 ~ 5 are finally enhanced compared to the conventional layout, and the average Nusselt numbers are increased by 12.6%, 16.0%, and 23.4%, respectively.