This study numerically and experimentally investigates the forced convection heat transfer in three mathematically designed heat sinks with lattice topologies based on triply periodic minimal surfaces (TPMS). The TPMS lattices consist of periodically arranged Diamond (D) or Gyroid (G) unit cells of 10 mm size and 80% porosity, considering two TPMS topologies; solid and sheet networks. This investigation examines the thermohydraulic performance of these novel heat sinks and compares them with other heat sinks in the literature. The hydrodynamic characteristics are studied with an airflow channel, and the thermal performance is explored with a validated numerical model. The results show that form drag dominates pressure drop in the range 2000 < Re < 7000. Due to the lowest surface area and largest pore size, the G-Solid heat sink reported the lowest friction factor (f). Concerning the thermal performance, G-Sheet showed the highest areal convection heat transfer coefficient (hA) and the lowest thermal resistance (R_th) as a result of having the highest surface area. For a given pumping power, D-Solid exhibits the highest thermal efficiency (η). This work opens the door for designing novel 3D printable heat sinks and investigating their performance in thermal management systems.

本研究通过数值和实验研究了三个基于三重周期最小表面 (TPMS) 的具有晶格拓扑结构的数学设计散热器中的强制对流热传递。考虑到两种 TPMS 拓扑，TPMS 晶格由周期性排列的 10 mm 尺寸和 80% 孔隙率的 Diamond (D) 或 Gyroid (G) 晶胞组成；实体和片状网络。这项调查检查了这些新型散热器的热工水力性能，并将它们与文献中的其他散热器进行了比较。使用气流通道研究流体动力学特性，并使用经过验证的数值模型探索热性能。结果表明，在 2000 < Re范围内，形式阻力主导压降  < 7000。由于最小的表面积和最大的孔径，G-Solid 散热器报告的摩擦系数 ( f ) 最低。_{在热性能方面，G- Sheet}具有最高的表面积，因此具有最高的面积对流传热系数 ( hA ) 和最低的热阻( Rth )。对于给定的泵送功率，D-Solid 表现出最高的热效率 ( η )。这项工作为设计新颖的 3D 可打印散热器和研究它们在热管理系统中的性能打开了大门。