A shape design problem in determining the optimal geometry of wavy-shaped inverted fins

Abstract

ABSTRACTAn 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.