A Novel Topology Optimization Approach for Flow Power Loss Minimization Across Fin Arrays

Energies

Ali Ghasemi¹  Ali Elham¹ 

[1] Department of Mechanical Engineering, Technical University of Braunschweig, Hermann-Blenk-Str. 35, D-38108 Braunschweig, Germany;

关键词: hydrodynamic power loss minimization;    topology optimization;    fin array;    pseudo-spectral;    Brinkman penalization;    periodic flow;   

DOI  :  10.3390/en13081987

来源: DOAJ

【 摘 要 】

Fin arrays are widely utilized in many engineering applications, such as heat exchangers and micro-post reactors, for higher level of fluid–solid contacts. However, high fluid pressure loss is reportedly the major drawback of fin arrays and a challenge for pumping supply, particularly at micro-scales. Previous studies also indicate that fin shapes, spacing and alignment play an important role on the overall pressure losses. Therefore, we present a numerical tool to minimize pressure losses, considering the geometrical aspects related to fin arrays. In this regard, a density-based topology optimization approach is developed based on the pseudo-spectral scheme and Brinkman penalization in 2D periodic domains. Discrete sensitives are derived analytically and computed at relatively low cost using a factorization technique. We study different test cases to demonstrate the flexibility, robustness and accuracy of the present tool. In-line and staggered arrays are considered at various Reynolds numbers and fluid–solid volume fractions. The optimal topologies interestingly indicate a pressure loss reduction of nearly $53.6\%$ compared to circular fins. In passive optimization test examples, the added solid parts reduced pressure loss of a circular fin ( $9\%$ ) by eliminating the flow separation and filling the wake region.

【 授权许可】

Unknown