带锥形孔的矩阵冷却通道流动换热多目标优化

徐亮; 叶玮琦; 李云龙; 席雷; 高建民

doi:10.7652/xjtuxb202507007

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带锥形孔的矩阵冷却通道流动换热多目标优化

—————————————————————— | 更新时间：2025-07-09

- 带锥形孔的矩阵冷却通道流动换热多目标优化
- Multi-Objective Optimization of Flow and Heat Transfer in Matrix Cooling Channels with Tapered Holes
- 西安交通大学学报 2025年59卷第7期页码：66-76
- 作者机构：
  
  西安交通大学机械工程学院， 710049，西安
- 作者简介：
  
  徐亮（1980—），男，教授，博士生导师。
- 基金信息：
  
  陕西省自然科学基础研究计划资助项目(2024JC-YBMS-345)
- DOI：10.7652/xjtuxb202507007
  中图分类号： TK47
- 收稿：2025-01-17，
  
  网络首发：2025-03-27，
  
  纸质出版：2025-07-10
- 稿件说明：
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徐亮, 叶玮琦, 李云龙, 等. 带锥形孔的矩阵冷却通道流动换热多目标优化[J]. 西安交通大学学报, 2025,59(7):66-76.

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.
徐亮, 叶玮琦, 李云龙, 等. 带锥形孔的矩阵冷却通道流动换热多目标优化[J]. 西安交通大学学报, 2025,59(7):66-76. DOI： 10.7652/xjtuxb202507007.

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

陈荣章 . 航空铸造涡轮叶片合金和工艺发展的回顾与展望 [J ] . 航空制造技术 , 2002 ( 2 ): 19 - 23 .

CHEN Rongzhang . Review and prospect of developments of cast superalloys and technology of aeroengine turbine blade [J ] . Aeronautical Manufacturing Technology , 2002 , ( 2 ): 19 - 23 .

倪萌 , 朱惠人 , 裘云 , 等 . 航空发动机涡轮叶片冷却技术综述 [J ] . 燃气轮机技术 , 2005 ( 4 ): 25 - 33 .

NI Meng , ZHU Huiren , QIU Yun , et al . Review of aero-turbine blade cooling technologies [J ] . Gas Turbine Technology , 2005 , ( 4 ): 25 - 33 .

ARUNA PRABHA K , NAVEEN REDDY C , SRINIVASA RAO L , et al . Structural and thermal analysis on high-pressure steam turbine blade to determine the optimum material for its manufacturing [J ] . Materials Today: Proceedings , 2023 , 92 : 1193 - 1199 .

CARCASCI C , FACCHINI B , PIEVAROLI M , et al . Heat transfer and pressure loss measurements of matrix cooling geometries for gas turbine airfoils [J ] . Journal of Turbomachinery , 2014 , 136 ( 12 ): 121005 .

RAO Yu , ZANG Shusheng . Flow and heat transfer characteristics in latticework cooling channels with dimple vortex generators [J ] . Journal of Turbomachinery , 2013 , 136 ( 2 ): 121017 .

HOSSEINALIPOUR S M , AFKARI P , SHAHBAZIAN H , et al . A numerical framework for heat transfer and pressure loss estimation of matrix cooling geometry in stationary and rotational states [J ] . Numerical Heat Transfer: Part A　Applications , 2019 , 76 ( 5 ): 348 - 368 .

RAMIREDDY S R , GURUSIDDAPPA S P , KESAVAN V , et al . Computational study of flow and heat transfer in matrix cooling channels [C ] // Proceedings of the ASME 2014 Gas Turbine India Conference . New York, USA : ASME , 2014 : V001T04A007 .

宋亚军 , 李童 , 张荻 , 等 . 燃气轮机叶片内部扰流肋冷却方式研究进展 [J ] . 热力透平 , 2011 , 40 ( 04 ): 235 - 244 .

SONG Yajun , LI Tong , ZHANG Di , et al . Review of gas turbine blade internal cooling with ribs [J ] . Thermal Turbine , 2011 , 40 ( 04 ): 235 - 244 .

BUNKER R S . Latticework (vortex) cooling effectiveness: part 1　stationary channel experiments [C ] // Proceedings of the ASME Turbo Expo 2004: Power for Land, Sea, and Air . New York, USA : ASME , 2004 : 909 - 918 .

SAHA K , ACHARYA S , NAKAMATA C . Heat transfer enhancement and thermal performance of lattice structures for internal cooling of airfoil trailing edges [J ] . Journal of Thermal Science and Engineering Applications , 2013 , 5 ( 1 ): 011001 .

SAHA K , GUO S , ACHARYA S , et al . Heat transfer and pressure measurements in a lattice-cooled trailing edge of a turbine airfoil [C ] // Proceedings of the ASME Turbo Expo 2008: Power for Land, Sea, and Air . New York, USA : ASME , 2008 .

SUNDBERG, J . Heat transfer correlations for gas turbine cooling [C ] // Linköping University , Linköping , Sweden , 2006 : 38 - 63 .

BU Shi , YANG Zipeng , ZHANG Wenbin , et al . Research on the thermal performance of matrix cooling channel with response surface methodology [J ] . Applied Thermal Engineering , 2016 , 109 : 75 - 86 .

BU Shi , SHI Chengcheng , ZHANG Lin , et al . The influence of lateral ejection on the thermal performance of matrix cooling channel [J ] . Applied Thermal Engineering , 2019 , 157 : 113506 .

吕玥萱 , 罗稼昊 , 饶宇 . 涡轮叶片不同肋倾角交错肋冷却流动与传热研究 [J ] . 工程热物理学报 , 2023 , 44 ( 5 ): 1341 - 1347 .

LÜ Yuexuan , LUO Jiahao , RAO Yu . Numerical and experimental study on flow and heat transfer performance of latticework cooling structures with different rib angles [J ] . Journal of Engineering Thermophysics , 2023 , 44 ( 5 ): 1341 - 1347 .

臧恒波 , 张龙 , 邓庆锋 . 基于响应面的涡轮交叉肋气动和传热特性研究 [J ] . 热能动力工程 , 2021 , 36 ( 10 ): 55 - 62 .

ZANG Hengbo , ZHANG Long , DENG Qingfeng . Research on aerodynamic and heat transfer characteristics of turbine cross rib based on response surface method [J ] . Journal of Engineering for Thermal Energy and Power , 2021 , 36 ( 10 ): 55 - 62 .

DENG Hongwu , WANG Kai , ZHU Jiangqin , et al . Experimental study on heat transfer and flow resistance in improved latticework cooling channels [J ] . Journal of Thermal Science , 2013 , 22 ( 3 ): 250 - 256 .

RUAN Qicheng , XU Liang , XI Lei , et al . Optimization design and experimental research on cooling performance of U-shaped latticework cooling structure with perforations used for gas turbine blade [J ] . Applied Thermal Engineering , 2024 , 247 : 123044 .

IBRAHIM T K , AL-SAMMARRAIE A T , AL-JETHELAH M S M , et al . The impact of square shape perforations on the enhanced heat transfer from fins: experimental and numerical study [J ] . International Journal of Thermal Sciences , 2020 , 149 : 106144 .

IBRAHIM T K , BASRAWI F , MOHAMMED M N , et al . Effect of perforation area on temperature distribution of the rectangular fins under natural convection [J ] . ARPN Journal of Engineering and Applied Sciences , 2016 , 11 ( 10 ): 6371 - 6375 .

ALKUMAIT A A , ZAIDAN H M , IBRAHIM K T . Assessment of heat transfer and fluid flow characteristics within finned flat tube [J ] . Case Studies in Thermal Engineering , 2018 , 12557 - 562 .

田洪森 , 程文明 , 杜润 , 等 . 基于RANS湍流模型的梯形柱气动特性研究 [J ] . 起重运输机械 , 2022 ( 10 ): 30 - 36 .

TIAN Hongsen , CHENG Wenming , DU Run , et al . Aerodynamic characteristics of trapezoidal column based on RANS turbulence model [J ] . Hoisting and Conveying Machinery , 2022 ( 10 ): 30 - 36 .

DITTUS F W , BOELTER L M K . Heat transfer in automobile radiators [J ] . International Journal of Heat and Mass Transfer , 1985 , 28 ( 3 ): 343 - 349 .

KAYS W M , CRAWFORD M E . Convective heat and mass transfer [M ] . 3rd ed . New York, USA : McGraw Hill , 1993 .

KOLÁŘ V , ŠÍSTEK J . Corotational and compressibility aspects leading to a modification of the vortex-identification Q-criterion [J ] . AIAA Journal . 2015 , 53 : 2406 - 2410 .

李海旺 , 张大伟 , 由儒全 . 考虑热应力的冲击发散冷却结构参数敏感性分析及优化设计 [J ] . 航空动力学报 , 2022 , 37 ( 11 ): 2455 - 64 .

LI Haiwang , Zhang Dawei , YOU Ruquan . Sensitivity analysis and optimal design of impingement/effusion cooling structural parameters considering thermal stress [J ] . Journal of Aerospace Power , 2022 , 37 ( 11 ): 2455 - 2464 .

HWANG C-L , YOON K . Multiple attribute decision making: methods and applications [M ] . Berlin, Germany : Springer , 1981 .

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