This study proposes a topology optimization on heat exchangers constructed with Triply Periodic Minimal Surfaces (TPMS), targeting turbulent flow conditions. We focus on gyroid structures among TPMS, which has a large surface area allowing us to enhance the heat exchange performance. First, we solve governing equations for fluid and thermal fields in a Representative Volume Element (RVE) to represent heat transfer performance of complicated structures with a homogenized model. Effective values of mechanical properties are derived from the RVE analysis, so that we can obtain interpolation functions of those properties depending on design variable fields, which is thickness distribution in this study. Then we optimize the thickness distribution of the gyroid wall structure to maximize the heat transfer and minimize the pressure loss.
Kawabe et al. (Wed,) studied this question.