ABSTRACT An inverted fin shape design problem in determining the optimal geometry of wavy-shapes inverted fins in a two-dimensional domain, based on the desired cooling tool average temperature and cooling tool area, is examined in this work. The commercial software CFD-ACE+ and Levenberg-Marquardt method (LMM) are utilized as the design tools. The numerical experiments are performed to verify the validity of the optimization algorithm, and two categories of test cases in determining the optimal wavy-shaped inverted fins are considered in this work. The estimated optimal wavy-shapes inverted fins are then compared with the tree-shaped inverted fins given in Hajmohammadi [Optimal design of tree-shaped inverted fins. Int J Heat Mass Transfer. 2018;116:1352–1360]. It is found that the optimal wavy-shaped inverted fins have better heat dissipation performance than tree-shaped inverted fins because (i) for isothermal cavity condition, the decrease percentages of Tmax for N = 1–4 are 32.4%, 53.3%, 56.6% and 60.0%, respectively and (ii) for convective cavity condition, the decrease percentages of Tmax for N = 1–4 are 53.9%, 61.4%, 63.9% and 65.7%, respectively.

中文翻译：

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确定波浪形倒翅片最佳几何形状的形状设计问题

摘要 在这项工作中，研究了根据所需的冷却工具平均温度和冷却工具面积，确定二维域中波浪形倒翅片最佳几何形状的倒翅片形状设计问题。商业软件 CFD-ACE+ 和 Levenberg-Marquardt 方法 (LMM) 被用作设计工具。进行了数值实验以验证优化算法的有效性，并在本工作中考虑了确定最佳波浪形倒翅片的两类测试用例。然后将估计的最佳波浪形倒鳍与 Hajmohammadi 中给出的树形倒鳍进行比较 [树形倒鳍的优化设计。国际 J 传热。2018;116:1352-1360]。