气动

Numerical Investigation of a Turbine Stator with Nonaxisymmetric Endwall Profiling

  • LIU Wei ,
  • WANG Songtao ,
  • WEN Fengbo
展开
  • School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

网络出版日期: 2023-12-01

基金资助

The author(s) gratefully acknowledges the support of the National Science and Technology Major Project of China (No. 2017-I-0005-0006), and the Outstanding Youth Science Foundation of Heilongjiang Province of China (No. YQ2020E016).

版权

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2022

Numerical Investigation of a Turbine Stator with Nonaxisymmetric Endwall Profiling

  • LIU Wei ,
  • WANG Songtao ,
  • WEN Fengbo
Expand
  • School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

Online published: 2023-12-01

Supported by

The author(s) gratefully acknowledges the support of the National Science and Technology Major Project of China (No. 2017-I-0005-0006), and the Outstanding Youth Science Foundation of Heilongjiang Province of China (No. YQ2020E016).

Copyright

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2022

摘要

非轴对称端壁是减少二次流损失、提高气动性能的有效方法。本文提出了一种基于非均匀有理B样条曲面(NURBS)技术的非轴对称端壁自动优化方法,采用该方法对涡轮静叶上端壁进行气动优化,以减少总压力损失和二次流损失。对基准端壁设计(Datum)和优化端壁设计(Opt)的流场进行了研究和比较。采用损失分解的方法对损失定量分析,将熵产损失分为叶型损失、二次流损失和尾缘损失。非轴对称端壁优化减少了以上三种损失,其中二次流损失远小于叶型损失,总熵产损失下降了11.7%。结果表明,优化后的端壁设计使总压损和二次流动能系数分别降低了11.1%和11.0%,其中二次流动能降低是由于马蹄涡的减弱和横向压力梯度的减少。当出口马赫数和来流攻角发生变化时,优化端壁的性能始终优于基准端壁。非轴对称端壁的级效率提高了 0.28%。

本文引用格式

LIU Wei , WANG Songtao , WEN Fengbo . Numerical Investigation of a Turbine Stator with Nonaxisymmetric Endwall Profiling[J]. 热科学学报, 2022 , 31(5) : 1790 -1803 . DOI: 10.1007/s11630-022-1673-y

Abstract

Nonaxisymmetric endwall is an effective method to reduce secondary loss and improve aerodynamic performance. In this paper, a nonaxisymmetric endwall automated optimization process based on the nonuniform rational B-spline surface (NURBS) technique was proposed. This technique was applied for the aerodynamic optimization of the turbine stator shroud endwall to reduce total pressure loss and secondary kinetic energy. The flow fields of the datum endwall design (Datum) and optimization endwall design (Opt) were investigated and compared. Quantitative loss analysis was performed with a loss breakdown method. The entropy generation was classified as profile loss, secondary loss and trailing edge loss, all of which were reduced. The secondary loss was much smaller than the profile loss. In general, the blade row total entropy loss decreased by 11.7%. The results showed that the Opt design reduced total pressure loss and coefficient of secondary kinetic energy by 11.1% and 11.0%, respectively. The decrease in secondary kinetic energy could be attributed to the reduction in the horseshoe vortex and the reduced transverse pressure gradient. When the outlet Mach numbers and inlet incidence angles vary, the performance of the profiled endwall design was always better than the datum design. In the turbine stage simulation, the efficiency was increased by 0.28% with nonaxisymmetric endwall.

参考文献

[1] Denton J.D., Loss mechanisms in turbomachines. Journal of Turbomachinery, 1993, 115(4): 621.
[2] Sharma O.P., Butler T.L., Predictions of endwall losses and secondary flows in axial flow turbine cascades. Journal of Turbomachinery, 1987, 109(2): 229–236.
[3] Rose M.G., Non-axisymmetric endwall profiling in the HP NGV’s of an axial flow gas turbine. Proceedings of the ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition, 1994. 
DOI: 10.1115/94-GT-004.
[4] Harvey N.W., Rose M.G., Taylor M.D., Non-Axisymmetric turbine end wall design—part I: three-dimensional linear design system. Proceedings of the ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition, Indianapolis, USA, 1999. DOI: 10.1115/99-GT-337.
[5] Hartland, J.C., Gregory-Smith, D.G., Harvey, N.W., Non-axisymmetric turbine end wall design—part II: experimental validation. Proceedings of the ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition, Indianapolis, USA, 1999. DOI: 10.1115/99-GT-338.
[6] Brennan G., Harvey N.W., Rose M.G., Improving the efficiency of the trent 500-HP turbine using nonaxisymmetric end walls—part I: turbine design. Journal of Turbomachinery, 2003, 125(3): 497–504.
[7] Rose M.G., Harvey N.W., Seaman P., Improving the efficiency of the trent 500 HP turbine using non-axisymmetric end walls—part II: experimental validation. Proceedings of the ASME Turbo Expo 2001: Power for Land, Sea, and Air, New Orleans, USA, 2001. DOI: 10.1115/2001-GT-0505.
[8] Snedden G., Dunn D., Ingram G., The performance of a generic non-axisymmetric end wall in a single stage, rotating turbine at on and off-design conditions. Proceedings of the ASME Turbo Expo 2010: Power for Land, Sea, and Air, Glasgow, UK, 2010, 7: 1069–1080. DOI: 10.1115/GT2010-22006.
[9] Ingram G.L., Endwall profiling for the reduction of secondary flow in turbines. Durham University, Durham, UK, 2003.
[10] Torre D., Vázquez R., Blanco E., A new alternative for reduction in secondary flows in low pressure turbines. Journal of Turbomachinery, 2011, 133(1): 011029.
[11] Liu H., Shen X., Zhu X., The aerodynamic optimization design of turbine cascade with nonaxisymmetric endwall and experimental validations. Proceedings of the ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, Charlotte, USA, 2017. DOI: 10.1115/GT2017-63898.
[12] Obaida H., Rona A., Gostelow J.P., Loss reduction in a 1.5 stage axial turbine by computer-driven stator hub contouring. Journal of Turbomachinery, 2019, 141(6): 061009.
[13] Na Z., Liu B., Numerical investigation of non-axisymmetric endwalls in a high pressure axial flow turbine. Proceedings of the ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, Montreal, Canada, 2015. DOI: 10.1115/GT2015-42970.
[14] Rehman A., Liu B., Numerical investigation and non-axisymmetric endwall profiling of a turbine stage. Journal of Thermal Science, 2019, 28(4): 811–825.
[15] Kiran K.N., Anish S., An investigation on the effect of pitchwise endwall design in a turbine cascade at different incidence angles. Aerospace Science and Technology, 2017, 71: 382–391.
[16] Sun H., Song L., Li J., Non-Axisymmetric turbine endwall aerodynamic optimization design: part II—turbine stage design and unsteady flow characteristics analysis. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, Düsseldorf, Germany, 2014. DOI: 10.1115/GT2014-25364.
[17] Niewoehner J., Poehler T., Jeschke P., Investigation of nonaxisymmetric endwall contouring and three-dimensional airfoil design in a 1.5 stage axial turbine—part II: experimental validation. Journal of Turbomachinery, 2015, 137(8): 081010.
[18] Praisner T.J., Allen-Bradley E., Grover E.A., Application of non-axisymmetric endwall contouring to conventional and high-lift turbine airfoils. Proceedings of the ASME Turbo Expo 2007: Power for Land, Sea, and Air, Montreal, Canada, 2007. DOI: 10.1115/GT2007-27579.
[19] McIntosh J., MacPherson R., Ingram G., Profiled endwall design using genetic algorithms with different objective functions. Proceedings of the ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition, British Columbia, Canada, 2011. DOI: 10.1115/GT2011-45836.
[20] Lin Z.R., Han Y., Yuan X., Investigation and application of non-axisymmetric endwall and bowed blade joint profiling. Journal of Engineering Thermophysics, 2014, 35(11): 2159–2163.
[21] Bergh J., Snedden G., Reddy D., Development of an automated non-axisymmetric endwall contour design system for the rotor of a 1-stage research turbine–part 1: system design. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2020, 234(5): 565–581.
[22] Bergh J., Snedden G., Reddy D., Development of an automated non-axisymmetric endwall contour design system for the rotor of a 1-stage research turbine–part 2 computed and experimental results. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2020, 234(8): 1084–1100.
[23] Luo J., Liu F., McBean I., Turbine blade row optimization through endwall contouring by an adjoint method. Journal of Propulsion and Power, 2015, 31(2): 505–518.
[24] Behr T., Control of rotor tip leakage and secondary flow by casing air injection in unshrouded axial turbines. ETH Zürich, Zurich, Switzerland, 2007.
[25] Tang H., Liu S., Luo H., Design optimization of profiled endwall in a high work turbine. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, Düsseldorf, Germany, 2014. DOI: 10.1115/GT2014-26190.
[26] Moukalled F., Mangani L., Darwish M., The finite volume method in computational fluid dynamics. Springer International Publishing, 2016.
[27] Qi L., Zou Z.P., Liu H.X., A mechanism investigation of potential field-secondary flow interactions in turbine endwall regions. Acta Aerodynamica Sinica, 2012, 30(5): 597–605.
[28] Cui T., Wang S., Tang X., Effect of leading-edge optimization on the loss characteristics in a low-pressure turbine linear cascade. Journal of Thermal Science, 2019, 28(5): 886–904.
[29] Zhang S., MacManus D.G., Luo J., Parametric study of turbine NGV blade lean and vortex design. Chinese Journal of Aeronautics, 2016, 29(1): 104–116.
文章导航

/