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<p>This study tackles optimizing heat dissipation in confined spaces, a critical issue in thermal management for high-density electronic devices and compact systems. It focuses on the thermal evaluation of a lid-driven cavity with three fins on its bottom surface, operating under mixed convection, laminar flow and incompressible conditions. Using a fluid with Prandtl (<i>Pr</i>) = 6.0 and Richardson (<i>Ri</i>) = 0.1, the constructal design approach combined with response surface methodology (RSM) identified optimal configurations to maximize the dimensionless heat transfer rate <i>q̃′</i>. Fin area fractions (<i>ϕ</i><sub>T</sub> = 0.05, 0.1 and 0.2) and height-to-length (<i>H</i>/<i>L</i>) ratios were systematically varied. The best performance, <i>q̃′</i> = 19.59), was achieved for <i>ϕ</i><sub>T</sub> = 0.2 with an asymmetric fin distribution (<i>ϕ</i><sub>1</sub> = 0.02, <i>ϕ</i><sub>2</sub> = 0.16 and <i>ϕ</i><sub>3</sub> = 0.02) and ratios <i>H</i><sub>1</sub>/<i>L</i><sub>1</sub> = 32, <i>H</i><sub>2</sub>/<i>L</i><sub>2</sub> = 0.2 and <i>H</i><sub>3</sub>/<i>L</i><sub>3</sub> = 32, resulting in a 39.7% improvement over <i>ϕ</i><sub>T</sub> = 0.05. This configuration promoted free fluid flow between fins while restricting flow at the edges, enhancing convection. The study introduces a novel three-fin design, outperforming previous two-fin setups by improving heat transfer efficiency by 134% compared to the least efficient configuration. Additionally, using RSM reduced computational costs by 81%, versus exhaustive methods. These findings advance compact thermal systems design, demonstrating the impact of multi-fin asymmetry on heat dissipation and flow optimization in confined spaces.</p>

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Geometric evaluation and constructal design applied to a lid-driven cavity with three fins of distinct sizes

  • 期刊论文

  • 发表日期：

    2025年2月18日

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  • Priscila Martta Rodrigues,
  • Eduardo Henrique Taube Cunegatto,
  • Cícero Coelho de Escobar,
  • Flávia Schwarz Franceschini Zinani,
  • Elizaldo Domingues dos Santos,
  • Liércio André Isoldi,
  • Luiz Alberto Oliveira Rocha

摘要

This study tackles optimizing heat dissipation in confined spaces, a critical issue in thermal management for high-density electronic devices and compact systems. It focuses on the thermal evaluation of a lid-driven cavity with three fins on its bottom surface, operating under mixed convection, laminar flow and incompressible conditions. Using a fluid with Prandtl (Pr) = 6.0 and Richardson (Ri) = 0.1, the constructal design approach combined with response surface methodology (RSM) identified optimal configurations to maximize the dimensionless heat transfer rate q̃′. Fin area fractions (ϕT = 0.05, 0.1 and 0.2) and height-to-length (H/L) ratios were systematically varied. The best performance, q̃′ = 19.59), was achieved for ϕT = 0.2 with an asymmetric fin distribution (ϕ1 = 0.02, ϕ2 = 0.16 and ϕ3 = 0.02) and ratios H1/L1 = 32, H2/L2 = 0.2 and H3/L3 = 32, resulting in a 39.7% improvement over ϕT = 0.05. This configuration promoted free fluid flow between fins while restricting flow at the edges, enhancing convection. The study introduces a novel three-fin design, outperforming previous two-fin setups by improving heat transfer efficiency by 134% compared to the least efficient configuration. Additionally, using RSM reduced computational costs by 81%, versus exhaustive methods. These findings advance compact thermal systems design, demonstrating the impact of multi-fin asymmetry on heat dissipation and flow optimization in confined spaces.