Numerical Solution to the Problem of Thermal Conductivity in a Porous Plate with a Topology of Triply Periodic Minimal Surfaces

Introduction. Thermal performance of materials based on triply periodic minimal surfaces (TPMS) is becoming increasingly important in view of the growing interest in materials with special thermophysical properties and their applications in engineering, energy, and other fields. Since these materials have unique structural and functional characteristics, understanding the relationship between their geometry and thermal parameters plays a key role in optimizing their use. Despite the considerable attention paid to the problem, the study of the relationship between the geometry of porous structures and their thermal characteristics remains incomplete. Existing scientific papers cover only individual options, and a complete understanding of the effect of complex micro- and macrostructure on thermal conductivity requires further study. The current gap in scientific knowledge is the lack of systematization and generalization of existing data, which complicates the development of universal approaches to calculating thermal conductivity in such materials. The objective of this study was to develop simplified formulas for calculating the effective thermal conductivity of porous structures based on S-type TPMC cells proposed by Fisher and Koch. The authors also set the task of analyzing the heat-conducting process in a plate with given porosity parameters. This will improve the understanding of the thermodynamic processes occurring in such systems.