Research on Separation Loss of Compressor Cascade Profile Based on Large Eddy Simulation

Document Type : Regular Article

Authors

Turbomachines Laboratory, Department of Power and Energy Engineering, Harbin Engineering University, Harbin, 150000, China

Abstract

The boundary layer's separation loss in compressor cascades constitutes a significant portion of profile loss, critically influencing aerodynamic performance optimization and control. This study employs Large Eddy Simulation (LES) to examine separation losses at varying attack angles, focusing on a rectangular compressor cascade. Specifically, it explores the long separation bubble at a 45% blade height cross-section under designed incidence. Analysis of the separation bubble's transition process revealed a notable surge in total pressure loss rate prior to transition, which stabilized following reattachment. The study thoroughly investigates the evolution of long bubbles, employing quadrant analysis of Reynolds stress, critical point theory, and an in-depth examination of individual vortex dynamics. The findings indicate that the peak of cross-flow within the separation bubble acts as the primary mechanism initiating the transition. This insight is corroborated by DNS calculations of natural transitions on flat plates. Building upon these findings, the study discusses the effects of varying attack angles on transition processes. Notably, increased incidence prompted the upstream migration of the long separation bubble, transforming it into a short bubble at the leading edge. This shift led to a fivefold increase in separation loss and doubled the frequency of transverse flow fluctuations.

Keywords

Main Subjects


Chengzhi, L., Li, W., & Zhang, Z. (2003). New families of centers and limit cycles for polynomial differential systems with homogeneous nonlinearities. Annual Journal of Differential Equations: English Edition, 2003 (3), 302-317. https://api.semanticscholar.org/CorpusID:118427158
Denton, J. D. (1993). Loss Mechanisms in Turbomachines. Proceedings of the ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. Volume 2: Combustion and Fuels; Oil and Gas Applications; Cycle Innovations; Heat Transfer; Electric Power; Industrial and Cogeneration; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; IGTI Scholar Award. Cincinnati, Ohio, USA. May 24–27, 1993. V002T14A001. ASME. https://doi.org/10.1115/93-GT-435
Freidoonimehr, N., Jafari, A., & Arjomandi, M. (2024). Characteristics of turbulent boundary layers generated by different tripping devices. International Journal of Heat and Fluid Flow, 105, 109244. https://doi.org/10.1016/j.ijheatfluidflow.2023.109244
Gao, Y., Yu, Y., Liu, J., & Lou C. (2019). Explicit expressions for Rortex tensor and velocity gradient tensor decomposition. Physics of Fluids, 31(8), 081704. https://doi.org/10.1063/1.5118948
Giulia, Z., Daniele R., Marios K. (2022). Transition due to isolated roughness in a swept wing boundary layer. Physics of Fluids, 34 (8), 084113. https://doi.org/10.1063/5.0101187
Gostelow, J. P., Rona, A., De Saint Jean, M., Garrett, S. J., & McMullan, W. A. (June 28, 2013). Investigation of Streamwise and Transverse Instabilities on Swept Cylinders and Implications for Turbine Blading. ASME. Journal of Turbomachinery, 135(5): 051018. https://doi.org/10.1115/1.400783
Gregory-Smith, D. G., Graves, C. P., & Walsh, J. A. (1988). Growth of secondary losses and vorticity in an axial turbine cascade. Journal of Turbomachinery, 110(1), 1–8. https://doi.org/10.1115/1.3262163
Hall, P., Malik, M. R., & Poll, D. I. A. (1984). On the stability of an infiniteswept attachment line boundary layer. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 395, 229–245. https://doi.org/10.1098/rspa.1984.0099
Han, Y. F., Ma, S. X., & Su, C. H. (2019). Numerical study on crossflow transition in three-dimensiomal hypersonic boundary layers. Acta Aerodynamica Sinica, 37(4),1092-1102. (in Chinese). https://doi.org/10.7638/kqdlxxb-2019.0015
Harrison, S. (1990). Secondary loss generation in a linear cascade of high-turning turbine blades. https://doi.org/10.1115/1.2927702
Horlock, J. H., & Perkins, H. J. (1974). Annulus wall boundary layers in turbomachines. https://api.semanticscholar.org/CorpusID:122452364
Hosseinverdi, S., & Fasel, H. F. (2019). Numerical investigation of laminar turbulent transition in laminar separation bubbles: The effect of free-stream turbulence. Journal of Fluid Mechanics, 858, 714–759. https://doi.org/10.1017/jfm.2018.809
Itoh, N. (1996). Simple cases of the streamline-curvature instability in three-dimensional boundary layers. Journal of Fluid Mechanics, 317, 129-154. https://doi.org/10.1017/S0022112096000699
Jianming, L., & Chaoqun, L. (2019). Modified normalized Rortex/vortex identification method. Physics of Fluids 31 (6). 061704. https://doi.org/10.1063/1.5109437
Jianming, L., Yisheng, G., & C. Liu (2019). An objective version of the Rortex vector for vortex identification. Physics of Fluids, 31 (6), 065112. https://doi.org/10.1063/1.5095624
Lee, Y., Teramoto, S., Toki, T., & Okamoto, K. (2020). Effects of the large eddy simulation calculation parameters on prediction of profile loss in an axial cascade at off-design incidence. Proceedings of the ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. Volume 2C: Turbomachinery. Virtual, Online. September 21–25, 2020. V02CT35A011. ASME. https://doi.org/10.1115/GT2020-14554
Li, X., Zheng, Q., & Jiang, B. (2021). Mathematical Definition of Vortex Boundary and Boundary Classification Based on Topological Type. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_37
Li, X., Zheng, Q., Li, H., Yan, W., & Jiang, B. (2024). Numerical study of transition process in different zones of a compressor cascade channel. International Journal of Turbo & Jet-Engines40(s1), s657-s669. https://doi.org/10.1515/tjj-2022-0084
Mangan, M. R., Oldroyd, H. J., Paw U, K. T., Clay, J., & Suvocarev, K. (2023). Evaluating the nature of turbulent coherent structures in orchards using integrated quadrant analysis. https://doi.org/10.2139/ssrn.4524630
Michael, G, List, Gorrell, S. E., & Turner, M. G. (2010). Investigation of loss generation in an embedded transonic fan stage at several gaps using high-fidelity, time-accurate computational fluid dynamics. Journal of Turbomachinery, https://doi.org/10.1115/1.3072522
Moore, J., & Adhye, R. Y. (1985). Secondary flows and losses downstream of a turbine cascade. ASME. Journal of Engineering for Gas Turbines and Power, 107(4), 961–968. https://doi.org/10.1115/1.3239842
Poll, D. I. A. (1985). Some observations of the transition process on the windward face of a long yawed cylinder. Journal of Fluid Mechanics150, 329-356. https://doi.org/10.1017/S0022112085000155
Popovic, I. (2005). The Effects of leading edge geometry on profile and secondary losses in turbine cascades [Master's thesis, Carleton University]. Ottawa, Canada.
Schrader, L. U., Amin, S., & Brandt, L. (2010). Transition to turbulence in the boundary layer over a smooth and rough swept plate exposed to free-stream turbulence. Journal of fluid mechanics646, 297-325. (in Chinese). https://doi.org/10.1017/S0022112009993284
Scillitoe, A. D., Tucker, P. G., & Adami, P. (2016). Numerical Investigation of Three-Dimensional Separation in an Axial Flow Compressor: The Influence of Freestream Turbulence Intensity and Endwall Boundary Layer State. ASME. Journal of Turbomachinery, 139(2): 021011. https://doi.org/10.1115/1.4034797
Sharma, O. P., & Butler, T. L. (1987). Predictions of endwall losses and secondary flows in axial flow turbine cascades. 1987. https://doi.org/10.1115/1.3262089
Shig, L., Babin, V., Shnapp, R., Fattal, E., Liberzon, A. & Bohbot, R. Y. (2023). Quadrant analysis of the reynolds shear stress in a two-height canopy. Flow, Turbulence and Combustion, 1-23. https://doi.org/10.1007/s10494-023-00421-6
Wang, M., Li, Z., Yang, C., Zhao, S., Zhang, Y., & Lu, X. (2020). Large eddy simulation of the separated flow transition on the suction surface of a high subsonic compressor airfoil. Physics of Fluids, 32(3), https://doi.org/10.1063/1.5145068
Xu, J., Bai, J., Zhang, Y., & Qiao, L. (2016). Transition study of 3D aerodynamic configures using improved transport equations modeling. Chinese Journal of Aeronautics29(4), 874-881. https://doi.org/10.1016/j.cja.2016.06.002
Xu, W., Gao, Y., Deng, Y., Liu, J., & Liu C. (2019). An explicit expression for the calculation of the Rortex vector. Physics of Fluids, 31(9), 095102. https://doi.org/10.1063/1.5116374
Yaras, M. I. (2011). Instability and transition in a separation bubble under a three-dimensional freestream pressure distribution. Journal of Turbomachinery, https://doi.org/10.1115/1.4000533
Zhang, H. X. (1997). Crossflow topology of three dimensional separated flows and vortex motion. Acta Aerodynamica Sinica, 15(1), 1-12. (in Chinese)
Zhu, Z., Feng, F., & Shen, Q. (2022). Large eddy simulation of hypersonic elliptical cone boundary layer transition characteristics. Gas Physics, 7(3), 13. (in Chinese). https://pubs.cstam.org.cn/article/doi/10.19527/j.cnki.2096-1642.0950
Zoppini, G., Ragni, D., & Kotsonis, M. (2022). Transition due to isolated roughness in a swept wing boundary layer. Physics of Fluids34(8), 084113. https://doi.org/10.1063/5.0101187
Zou, G., He, Z., & Gu, X. (2013). Viscous fluid mechanics. National Defense Industry Press. (in Chinese).
Zou, W., Xu, X., Tang, C. (2021). Spiral streamline pattern around a critical point: Its dual directivity and effective characterization by right eigen representation. Physics of Fluids, 33(6), 067102. https://doi.org/10.1063/5.0050555