带锥形孔的矩阵冷却通道流动换热多目标优化

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关键词：矩阵冷却；涡轮叶片；多目标优化；锥形孔

中图分类号：TK47文献标志码：A

DOI：10.7652/xjtuxb202507007文章编号：0253-987X（2025）07-0066-11

Multi-Objective Optimization of Flow and Heat Transfer in Matrix Cooling Channels with Tapered Holes

XULiang，YEWeiqi，LIYunlong，XILei，GAOJianmin （School of Mechanical Engineering，Xi’an JiaotongUniversity，Xi’an 71oo49，China）

Abstract： To reduce flow resistance in internal cooling channels，accelerate the local flow of cold air，and enhance vortex disturbances near rib wals for improved heat transfer，a novel matrix cooling structure for turbine blades is developed by incorporating tapered holes in the rib plates. This study constructs a new type of tapered hole rib matrix cooling channel and conducts a multiobjective optimization design. Numerical simulations of the Reynolds-averaged Navier-Stokes equations （RANS） are performed to investigate the effects of the rib spacing-to-width ratio （k）， rib angle （α） ，and cone angle （β） on flow and heat transfer. A response surface prediction model for theNusselt number （ Nu） ）and friction factor （f） is established，and its effectiveness is analyzed. The non-dominated sorting genetic algorithm I（NSGA-II），combined with the technique for order preference by similarity to ideal solution（TOPSIS），is used to optimize and identify the best structure within the studied parameter range. The average errors of the response surface prediction models for the two objective functions are 0.967% and 2.182% ，with maximum errors of 3.063% and 4.517% ，respectively. Under conditions of Re=5000 and q=2000W/m2 ，the optimal structural parameters are found to be k=2.461 ， α=54.774∘ ，and β=1.415∘ . The errors in the optimized results for Nu/Nu0 ， f/f0 ，and F are 0.32% ， 3.38% ，and 1.51% ，respectively， indicating the effectiveness of the optimization method. The tapered holes facilitate the generation of downstream vortices，effectively reducing flow resistance while enhancing heat transfer uniformity. Compared to the original structure， the optimized design achieves a 6.37% increase in Nu/Nu0 ，a 17.69% decrease in f/f0 ，and a 13.43% improvement in the overall heat transfer coefficient F ， resulting in enhanced cooling performance.

Keywords： matrix cooling; turbine blade;multi-objective optimization;conical hole

涡轮叶片作为燃气轮机中的第一关键件，其性能水平标志着燃气轮机的先进程度[1]。（剩余15483字）