Experimental and Numerical Study on the Trailing Edge Cutback Cooling Characteristics with POD Analysis

  • LIU Jiajie ,
  • WANG Pengfei ,
  • WANG Pei ,
  • LIU Jun ,
  • DU Qiang ,
  • WANG Haohan ,
  • WANG Zhiguo ,
  • SHEN Xin ,
  • ZHU Junqiang
展开
  • 1. Key Lab of Light-duty Gas-turbine, Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China
    2. University of Chinese Academy of Sciences, Beijing 100049, China
    3. National Key Laboratory of Science and Technology on Advanced Light-duty Gas-turbine, Beijing 100190, China
    4. Research Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang 212013, China

网络出版日期: 2025-05-06

基金资助

The authors thank to the financial support of National Natural Science Foundation of China (Grant No. 52306055), National Science and Technology Major Project (J2019-II-0022-0043) and Youth Innovation Promotion Association of the Chinese Academy of Sciences. The ANSYS software and computation resources supplied by Beijing Super Cloud Computing Center are also acknowledged.

版权

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2025

Experimental and Numerical Study on the Trailing Edge Cutback Cooling Characteristics with POD Analysis

  • LIU Jiajie ,
  • WANG Pengfei ,
  • WANG Pei ,
  • LIU Jun ,
  • DU Qiang ,
  • WANG Haohan ,
  • WANG Zhiguo ,
  • SHEN Xin ,
  • ZHU Junqiang
Expand
  • 1. Key Lab of Light-duty Gas-turbine, Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China
    2. University of Chinese Academy of Sciences, Beijing 100049, China
    3. National Key Laboratory of Science and Technology on Advanced Light-duty Gas-turbine, Beijing 100190, China
    4. Research Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang 212013, China

Online published: 2025-05-06

Supported by

The authors thank to the financial support of National Natural Science Foundation of China (Grant No. 52306055), National Science and Technology Major Project (J2019-II-0022-0043) and Youth Innovation Promotion Association of the Chinese Academy of Sciences. The ANSYS software and computation resources supplied by Beijing Super Cloud Computing Center are also acknowledged.

Copyright

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2025

摘要

本文研究了航空发动机涡轮叶片尾缘劈缝的气膜冷却特性以及其流场涡结构,探讨了该冷却结构的非定常流动掺混机理。本文对尾缘劈缝部件开展了快响PSP、高频PIV实验,并使用DDES湍流模型进行了数值模拟。实验与仿真结果得到了较为吻合的气膜冷却时均特性以及流场涡系结构。通过本征正交分解(Proper orthogonal decomposition)方法分析了仿真流场数据,提取出流场的本征正交模态。随着吹风比的增加,劈缝的气膜冷却有效性η呈现“增-减-增”的趋势,在吹风比Mslot为0.75左右时η处于最低点。不同的吹风比下掺混过程出现了不同的非定常脱落涡结构,小吹风比Mslot为0.3时,主流侧涡主导了流场的掺混流动。吹风比Mslot为0.75时,两侧涡相互掺混出现了类卡门涡街形式的脱落涡。吹风比继续增大后,流场的涡结构转为由冷气侧涡主导。由POD方法分析得知,不同吹风比下近壁区域均出现类卡门涡街的1、2阶模态,在Mslot为0.75时该模态所占能量比最高,流场中形成稳定的主导相干结构。伴随吹风比增大,温度场中的主要特征模态逐渐变化,气膜冷却有效性最低时模态呈月牙形。文章结合流场的涡系结构解释了η最低点时的流场特征分布,分析了其对壁面气膜冷却特性的影响。

本文引用格式

LIU Jiajie , WANG Pengfei , WANG Pei , LIU Jun , DU Qiang , WANG Haohan , WANG Zhiguo , SHEN Xin , ZHU Junqiang . Experimental and Numerical Study on the Trailing Edge Cutback Cooling Characteristics with POD Analysis[J]. 热科学学报, 2025 , 34(3) : 834 -849 . DOI: 10.1007/s11630-025-2024-6

Abstract

This paper investigates the film cooling characteristics and flow structure of trailing edge cutback in turbine vanes, and explains the unsteady flow mixing mechanism of this cooling structure using Proper Orthogonal Decomposition (POD) method. The Delayed Detached Eddy Simulation (DDES) turbulence model was used to obtain detailed information about the velocity and temperature field for the POD method. To verify the accuracy of the numerical results, fast-response Pressure Sensitive Paint (PSP) and high-frequency Particle Image Velocimetry (PIV) experiments were also conducted, and the results achieved good agreement. As the blowing ratio increases, the effectiveness η of the cutback’s film cooling exhibits a “increase-decrease-increase” trend, with η reaching its minimum point at around a blowing ratio (Mslot) of 0.75. Three kinds of coherent vortex structures are observed in the flow field at different blowing ratios. According to the analysis using the POD method, the first and second order modes of a Karman-like vortex street are observed in the vicinity of the wall at various blowing ratios. This coherent flow structure is directly related to the mixing intensity between the mainstream gas and the coolant. At Mslot=0.75, these modes had the highest energy ratio and formed a stable dominant coherent structure in the flow field. As the blowing ratio increases, the main characteristic modes in the temperature field gradually change, and the mode appears crescent-shaped when the effectiveness of film cooling is at its lowest. This paper combines the vortex structure of the flow field to explain the flow field feature distribution at the lowest effectiveness point η and analyzes its impact on the film cooling characteristics of the protected surface.

参考文献

[1] Kacker S.C., Whitelaw J.H., An experimental investigation of the influence of slot-lip-thickness on the impervious-wall effectiveness of the uniform-density, two-dimensional wall jet. International Journal of Heat and Mass Transfer, 1969, 12(9): 1196–1201.
[2] Sivasegaram S., Whitelaw J.H., Film cooling slots: the importance of lip thickness and injection angle. Journal of Mechanical Engineering Science, 1969, 11(1): 22–27.
[3] Taslim M.E., Spring S.D., Mehlman B.P., Experimental investigation of film cooling effectiveness for slots of various exit geometries. Journal of Thermophysics and Heat Transfer, 1992, 6(2): 302–307.
[4] Holloway D.S., Leylek J.H., Buck F.A., Pressure-side bleed film cooling: Part I—Steady framework for experimental and computational results. ASME Turbo Expo 2002: Power for Land, Sea, and Air, 2002, Paper No: GT2002-30471.
[5] Holloway D.S., Leylek J.H., Buck F.A., Pressure-side bleed film cooling: part II—unsteady framework for experimental and computational results. ASME Turbo Expo 2002: Power for Land, Sea, and Air, 2002, Paper No: GT2002-30472.
[6] Martini P., Schulz A., Bauer H.J., et al., Detached eddy simulation of film cooling performance on the trailing edge cutback of gas turbine airfoils. Journal of Turbomachinery, 2006, 128(2): 292–299.
[7] Kim Y.W., Coon C., Moon H.-K., Film-cooling characteristics of pressure-side discharge slots in an accelerating mainstream flow. ASME Turbo Expo 2005: Power for Land, Sea, and Air, 2005, Paper No: GT2005-69061.
[8] Cunha F.J., Dahmer M.T., Chyu M.K., Analysis of airfoil trailing edge heat transfer and its significance in thermal-mechanical design and durability. Journal of Turbomachinery, 2006, 128(4): 738–746.
[9] Chen S.P., Li P.W., Chyu M.K., et al., Heat transfer in an airfoil trailing edge configuration with shaped pedestals mounted internal cooling channel and pressure side cutback. ASME Turbo Expo 2006: Power for Land, Sea, and Air, 2006, Paper No: GT2006-91019.
[10] Horbach T., Schulz A., Bauer H.J., Trailing edge film cooling of gas turbine airfoils—External cooling performance of various internal pin fin configurations. Journal of Turbomachinery, 2011, 133(4): 041006.
[11] Murata A., Nishida S., Saito H., et al., Effects of surface geometry on film cooling performance at airfoil trailing edge. Journal of Turbomachinery, 2012, 134(5): 051033.
[12] Murata A., Yano K., Hanai M., et al., Arrangement effects of inclined teardrop-shaped dimples on film cooling performance of dimpled cutback surface at airfoil trailing edge. International Journal of Heat and Mass Transfer, 2017, 107: 761–770.
[13] Yao Y., Effendy W., Yao J., Comparison study of turbine blade with trailing-edge cutback coolant ejection designs. 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Texas, 2013, Paper No: AIAA 2013-0548.
[14] Effendy M., Yao Y.F., Yao J., et al., DES study of blade trailing edge cutback cooling performance with various lip thicknesses. Applied Thermal Engineering, 2016, 99: 434–445.
[15] Barigozzi G., Ravelli S., Armellini A., et al., Effects of injection conditions and Mach number on unsteadiness arising within coolant jets over a pressure side vane surface. International Journal of Heat and Mass Transfer, 2013, 67: 1220–1230.
[16] Abdeh H., Barigozzi G., A parametric investigation of vane pressure side cutback film cooling by dual luminophor PSP. International Journal of Heat and Fluid Flow, 2018, 69: 106–116.
[17] Ravelli S., Barigozzi G., Stress-blended eddy simulation of coherent unsteadiness in pressure side film cooling applied to a first stage turbine vane. Journal of Heat Transfer, 2018, 140(9): 092201.
[18] Xiao X., Wang P., Du Q., et al., DDES numerical investigations on coherent structures in trailing-edge film cooling combined with pressure-side film hole. ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition, 2021, Paper No: GT2021-59150.
[19] Xu Q., Wang P., Wang P., et al., Experimental and numerical investigations on the unsteady flow and film cooling characteristics of the trailing edge cutback. Applied Thermal Engineering, 2023, 224: 120094.
[20] Wang P., Xu Q., Liu J., et al., Experimental and unsteady numerical investigations on cooling characteristics of trailing-edge cutback with effect of upstream film holes. International Journal of Thermal Sciences, 2023, 193: 108423.
[21] Wang R., He X., Yan X., Spectral proper orthogonal decomposition analysis of trailing edge cutback film cooling flow. Physics of Fluids, 2022, 34(10): 105106.
[22] Wang R., Yan X., Delayed-detached eddy simulations of film cooling effect on trailing edge cutback with land extensions. Journal of Engineering for Gas Turbines and Power, 2021, 143(11): 111004.
[23] Taira K., Brunton S.L., Dawson S.T.M., et al., Modal analysis of fluid flows: An overview. AIAA Journal, 2017, 55(12): 4013–4041.
[24] Taira K., Hemati M.S., Brunton S.L., et al., Modal analysis of fluid flows: Applications and outlook. AIAA Journal, 2020, 58(3): 998–1022.
[25] Charbonnier D., Ott P., Jonsson M., et al., Experimental and numerical study of the thermal performance of a film cooled turbine platform. ASME Turbo Expo 2009: Power for Land, Sea, and Air, 2009, Paper No: GT2009-60306.
[26] Spalart P.R., Detached-eddy simulation. Annual Review of Fluid Mechanics, 2009, 41(1): 181–202.
[27] Kohli A., Bogard D.G., Effects of very high free-stream turbulence on the jet: Mainstream interaction in a film cooling flow. Journal of Turbomachinery, 1998, 120(4): 785–790.
[28] Vitkovicova R., Yokoi Y., Hyhlik T., Identification of structures and mechanisms in a flow field by POD analysis for input data obtained from visualization and PIV. Experiments in Fluids, 2020, 61(8): 171.
[29] Brevis W., García-Villalba M., Shallow-flow visualization analysis by proper orthogonal decomposition. Journal of Hydraulic Research, 2011, 49(5): 586–594.
文章导航

/