Investigation of the effective thermal conductivity of materials based on triply periodic minimal surfaces of the Diamond, Gyroid, and Fisher–Koch S types

The article investigates the thermal conductivity properties of lattices based on the topology of triply periodic minimal surfaces (TPMS) such as Gyroid, Diamond, and Fisher–Koch S. Using numerical and experimental methods, empirical relationships were established between the effective thermal conductivity of these structures and their geometric parameters as well as the properties of the base material. The derived relationship allows for the creation of materials with specified thermal conductivity characteristics. The advantages and disadvantages of TPMS structures for implementation as fins in heat exchange devices were identified. The Fisher–Koch S structure can be considered for use as heat exchanger fins, as it demonstrates the highest surface area, effective thermal conductivity, and minimal stagnant zones among the TPMS considered. With equal surface period and lattice thickness, the Fisher–Koch S structure shows 39% higher thermal conductivity compared to Diamond and 96% higher compared to Gyroid.