Topology Optimization of Turbulent Flow Cooling Structures Based on the k-ε Model

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Název: Topology Optimization of Turbulent Flow Cooling Structures Based on the k-ε Model
Autoři: Yiwei Sun, Menglong Hao, Zexu Wang
Zdroj: Entropy, Vol 25, Iss 1299, p 1299 (2023)
Informace o vydavateli: MDPI AG
Rok vydání: 2023
Sbírka: Directory of Open Access Journals: DOAJ Articles
Témata: k-ε turbulent model, fluid topology optimization, fluid–solid conjugate heat transfer, variable density method, cooling channel design, Science, Astrophysics, QB460-466, Physics, QC1-999
Popis: Topology optimization (TO) is an effective approach to designing novel and efficient heat transfer devices. However, the TO of conjugate heat transfer has been essentially limited to laminar flow conditions only. The present study proposes a framework for TO involving turbulent conjugate heat transfer based on the variable density method. Different from the commonly used and oversimplified Darcy model, this approach is based on the more accurate and widely accepted k-ε model to optimize turbulent flow channels. We add penalty terms to the Navier–Stokes equation, turbulent kinetic energy equation, and turbulent energy dissipation equation, and use interpolation models for the thermal properties of materials. A multi-objective optimization function, aiming to minimize the pressure drop and the average temperature, is set up to balance the thermal and hydraulic performance. A case study is conducted to compare various optimization methods in the turbulent regime, and the results show that the present method has substantially higher optimization effectiveness while remaining computationally inexpensive.
Druh dokumentu: article in journal/newspaper
Jazyk: English
Relation: https://www.mdpi.com/1099-4300/25/9/1299; https://doaj.org/toc/1099-4300; https://doaj.org/article/454f73e3046845998bf2a8de0f399b27
DOI: 10.3390/e25091299
Dostupnost: https://doi.org/10.3390/e25091299
https://doaj.org/article/454f73e3046845998bf2a8de0f399b27
Přístupové číslo: edsbas.67F9C44B
Databáze: BASE
Popis
Abstrakt:Topology optimization (TO) is an effective approach to designing novel and efficient heat transfer devices. However, the TO of conjugate heat transfer has been essentially limited to laminar flow conditions only. The present study proposes a framework for TO involving turbulent conjugate heat transfer based on the variable density method. Different from the commonly used and oversimplified Darcy model, this approach is based on the more accurate and widely accepted k-ε model to optimize turbulent flow channels. We add penalty terms to the Navier–Stokes equation, turbulent kinetic energy equation, and turbulent energy dissipation equation, and use interpolation models for the thermal properties of materials. A multi-objective optimization function, aiming to minimize the pressure drop and the average temperature, is set up to balance the thermal and hydraulic performance. A case study is conducted to compare various optimization methods in the turbulent regime, and the results show that the present method has substantially higher optimization effectiveness while remaining computationally inexpensive.
DOI:10.3390/e25091299