Abstract
The design of metamaterials based on triply periodic minimal surfaces (TPMS) is currently a very active field of research. An upscaling approach is used here to study the flow in TPMS-based porous media, with focus on the effects of advection. The effective medium permeability, function of the Reynolds number Re of the flow through the pores, is numerically evaluated for varying porosity θ, for six types of TPMS-based structures, namely Gyroid, I-WP, Schwarz P, Split P, Fischer–Koch S, and Neovius. Inertial effects are found to be significant; for instance, the permeability is reduced by 15−50% (according to the surface type) as Re increases from 0 to 50000, when θ=0.98.
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