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

XU Liang; YE Weiqi; LI Yunlong; XI Lei; GAO Jianmin

doi:10.7652/xjtuxb202507007

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

更新时间：2025-07-09

- Multi-Objective Optimization of Flow and Heat Transfer in Matrix Cooling Channels with Tapered Holes
- Journal of Xi’an Jiaotong University Vol. 59, Issue 7, Pages: 66-76(2025)
- 作者机构：
  
  西安交通大学机械工程学院， 710049，西安
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202507007
  CLC： TK47
- Received：17 January 2025，
  
  Online First：27 March 2025，
  
  Published：10 July 2025
- 稿件说明：
移动端阅览
XU Liang, YE Weiqi, LI Yunlong, et al. Multi-Objective Optimization of Flow and Heat Transfer in Matrix Cooling Channels with Tapered Holes[J]. Journal of Xi’an Jiaotong University, 2025, 59(7): 66-76.
DOI：

XU Liang, YE Weiqi, LI Yunlong, et al. Multi-Objective Optimization of Flow and Heat Transfer in Matrix Cooling Channels with Tapered Holes[J]. Journal of Xi’an Jiaotong University, 2025, 59(7): 66-76. DOI： 10.7652/xjtuxb202507007.

摘要

为了降低内部冷却通道气流的流动阻力、加速冷气局部流动、增强肋壁附近的涡流扰动从而增强换热，针对某新型的涡轮叶片内部矩阵冷却结构在肋板处添加了收缩型锥形孔，构建新型锥孔肋矩阵冷却通道，并进行了多目标优化设计。采用雷诺平均Navier-Stokes方程（RANS）数值模拟研究了该结构肋间距与肋宽的比值

、肋倾角

、锥角

对流动换热的影响规律；建立了努塞尔数和摩擦因子的响应面预测模型，并分析了模型的有效性；通过非支配排序遗传算法-Ⅱ（NSGA-Ⅱ）结合逼近于理想值的排序方法（TOPSIS）寻优，获得了研究参数范围内的最优结构。研究结果表明：两个目标函数的响应面预测模型的平均误差分别为0.967%、2.182%，最大误差分别为3.063%、4.517%。在

为5 000、热流密度

为2 000 W/m

的条件下，最佳结构参数为：

=2.461，

=54.774°，

=1.415°。优化后的矩阵冷却通道与光滑通道的无量纲努塞尔数的比

和摩擦因子的比

以及综合换热系数

的误差分别是0.32%、3.38%和1.51%，表明优化方法是有效的。收缩型锥形孔促进了下游涡系的产生，有效降低流动阻力的同时增强了换热均匀性。优化结构相比原始结构的

提升了6.37%，

下降了17.69%，综合换热系数

提升了13.43%，实现了冷却性能的提升。

Abstract

To reduce flow resistance in internal cooling channels

accelerate the local flow of cold air

and enhance vortex disturbances near rib walls 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 multi-objective 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 (

)

rib angle (

)

and cone angle (

) on flow and heat transfer. A response surface prediction model fo

r the Nusselt number (

) and friction factor (

) is established

and its effectiveness is analyzed. The non-dominated sorting genetic algorithm Ⅱ(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

=5 000 and

=2 000 W/m

the optimal structural parameters are found to be

=2.461

=54.774°

and

=1.415°. The errors in the optimized results for

and

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

a 17.69% decrease in

and a 13.43% improvement in the overall heat transfer coefficient

resulting in enhanced cooling performance.

关键词

Keywords

references

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