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Lattice Monte Carlo Analysis of the Effective Thermal Conductivity of Triply Periodic Minimal Surface Structures

MetadataDetails
Publication Date2025-06-04
JournalASME Journal of Heat and Mass Transfer
AuthorsThomas Fiedler, Nejc Novak, Nima Movahedi
InstitutionsUniversity of Maribor, University of Newcastle Australia

Abstract This study presents a lattice Monte Carlo (LMC) analysis of the effective thermal conductivity of triply periodic minimal surface (TPMS) structures. Additive manufacturing now enables the production of these complex shapes. Combining large volumetric surface areas with high conductivity, these structures have attracted interest for application in heat exchangers, catalyst supports, or electrodes. A comprehensive parametric study is conducted considering variation in relative density and different lattice structure types, i.e., Schwarz-Primitive, Schoen-Gyroid, Schoen-I-WP, Schwarz-Diamond, and Fischer-Koch S. Both uniform and graded structures, where the relative density varies spatially, are considered. Scaled thermal conductivities (STCs) are obtained using lattice Monte Carlo analyses and can readily be converted into absolute thermal conductivities by multiplication with the thermal conductivity of the matrix material. The results indicate similar STCs of all structures at a given relative density. Moreover, the STC shows a linear dependence on relative density.

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