Multi-scale topology optimization of porous heat sinks with voided lattice structure using a two-layer Darcy-Forchheimer model

Fuente: arXiv
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Autori principali: Saito, Tatsuki, Kikuchi, Yuto, Ushijima, Kuniharu, Yaji, Kentaro
Natura: Preprint
Pubblicazione: 2025
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author Saito, Tatsuki
Kikuchi, Yuto
Ushijima, Kuniharu
Yaji, Kentaro
author_facet Saito, Tatsuki
Kikuchi, Yuto
Ushijima, Kuniharu
Yaji, Kentaro
contents This study presents a topology optimization framework for the design of water cooled heat sinks that incorporate voided lattice structures, formulated using a two-layer Darcy-Forchheimer model. Conventional porous heat sinks often suffer from excessive pressure drops due to their intricate geometries, which limit their practical applicability. To overcome this issue, the proposed method introduces an explicit representation of both void and porous regions, together with graded lattice density, within a multi-material optimization framework. The two-layer Darcy-Forchheimer model enables efficient reduced-order simulations, allowing direct consideration of the heterogeneous porous-void distribution during the optimization process. The optimized designs are reconstructed into full-scale lattice geometries and validated through coupled thermo-fluid finite element analyses under fixed pressure-drop conditions. The results demonstrate that the voided lattice configurations significantly outperform conventional plate-fin and uniform lattice heat sinks, achieving approximately 20-30 percent higher maximum Nusselt numbers while maintaining lower pressure losses.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18882
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-scale topology optimization of porous heat sinks with voided lattice structure using a two-layer Darcy-Forchheimer model
Saito, Tatsuki
Kikuchi, Yuto
Ushijima, Kuniharu
Yaji, Kentaro
Computational Engineering, Finance, and Science
Fluid Dynamics
This study presents a topology optimization framework for the design of water cooled heat sinks that incorporate voided lattice structures, formulated using a two-layer Darcy-Forchheimer model. Conventional porous heat sinks often suffer from excessive pressure drops due to their intricate geometries, which limit their practical applicability. To overcome this issue, the proposed method introduces an explicit representation of both void and porous regions, together with graded lattice density, within a multi-material optimization framework. The two-layer Darcy-Forchheimer model enables efficient reduced-order simulations, allowing direct consideration of the heterogeneous porous-void distribution during the optimization process. The optimized designs are reconstructed into full-scale lattice geometries and validated through coupled thermo-fluid finite element analyses under fixed pressure-drop conditions. The results demonstrate that the voided lattice configurations significantly outperform conventional plate-fin and uniform lattice heat sinks, achieving approximately 20-30 percent higher maximum Nusselt numbers while maintaining lower pressure losses.
title Multi-scale topology optimization of porous heat sinks with voided lattice structure using a two-layer Darcy-Forchheimer model
topic Computational Engineering, Finance, and Science
Fluid Dynamics
url https://arxiv.org/abs/2510.18882