0
Research Papers: Flows in Complex Systems

Investigation of Vortical Structures and Turbulence Characteristics in Corner Separation in a Linear Compressor Cascade Using DDES

[+] Author and Article Information
Yangwei Liu

Collaborative Innovation Center
of Advanced Aero-Engine;
National Key Laboratory of Science
and Technology on Aero-Engine
Aero-Thermodynamics,
School of Energy and Power Engineering,
Beihang University,
Beijing 100191, China
e-mail: liuyangwei@126.com

Hao Yan

Collaborative Innovation Center
of Advanced Aero-Engine;
National Key Laboratory of Science and
Technology on Aero-Engine
Aero-Thermodynamics,
School of Energy and Power Engineering,
Beihang University,
Beijing 100191, China;
Xi'an Aerospace Propulsion Institute,
Xi'an 710100, China
e-mail: yanhaovsdami@163.com

Lipeng Lu

Collaborative Innovation Center
of Advanced Aero-Engine;
National Key Laboratory of Science
and Technology on Aero-Engine
Aero-Thermodynamics,
School of Energy and Power Engineering,
Beihang University,
Beijing 100191, China
e-mail: lulp@buaa.edu.cn

Qiushi Li

Collaborative Innovation Center
of Advanced Aero-Engine;
National Key Laboratory of Science and
Technology on Aero-Engine
Aero-Thermodynamics,
School of Energy and Power Engineering,
Beihang University,
Beijing 100191, China
e-mail: liqs@buaa.edu.cn

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 3, 2016; final manuscript received September 12, 2016; published online December 7, 2016. Assoc. Editor: Kwang-Yong Kim.

J. Fluids Eng 139(2), 021107 (Dec 07, 2016) (14 pages) Paper No: FE-16-1075; doi: 10.1115/1.4034871 History: Received February 03, 2016; Revised September 12, 2016

Three-dimensional (3D) corner separation in a linear highly loaded compressor cascade is studied by using delayed detached-eddy simulation (DDES) method. This paper studies the flow mechanism of corner separation, including vortical structures and turbulence characteristics. The vortical structures are analyzed and the distributions of Reynolds stresses and turbulent anisotropy are also discussed in detail. The results show that there exist different kinds of vortical structures, such as horseshoe vortex, passage vortex, wake shedding vortex, and “corner vortex.” Before the corner separation forms, the passage vortex becomes the main secondary vortex and obviously enhances the corner separation. At approximate 35% chord position, the corner vortex begins to form, enlarges rapidly, and dominates the secondary flow in the cascade. The corner vortex is a compound vortex with its vortex core composed of multiple vortices. Streamwise normal Reynolds stress contributes greatest to the turbulence fluctuation in the corner region. The turbulence develops from two-dimensional (2D) turbulence in the near-wall region to one-component type turbulence in the corner region. The turbulence tends to be more anisotropic when the flow is close to the endwall within the corner separation region.

Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Samson, A. , and Sarkar, S. , 2016, “ Effects of Free-Stream Turbulence on Transition of a Separated Boundary Layer Over the Leading-Edge of a Constant Thickness Airfoil,” ASME J. Fluids Eng., 138(2), p. 021202. [CrossRef]
Duquesne, P. , Maciel, Y. , and Deschênes, C. , 2016, “ Investigation of Flow Separation in a Diffuser of a Bulb Turbine,” ASME J. Fluids Eng., 138(1), p. 011102. [CrossRef]
Poels, A. , Rudmin, D. , Benaissa, A. , and Poirel, D. , 2015, “ Localization of Flow Separation and Transition Over a Pitching NACA0012 Airfoil at Transitional Reynolds Number Using Hot-Films,” ASME J. Fluids Eng., 137(12), p. 124501. [CrossRef]
Lv, Y. Z. , Li, Q. S. , and Li, S. B. , 2015, “ Modeling the Effect of Stability Bleed on Back-Pressure in Mixed-Compression Supersonic Inlets,” ASME J. Fluids Eng., 137(12), p. 121101. [CrossRef]
Lei, V. M. , Spakovszky, Z. S. , and Greitzer, E. M. , 2008, “ A Criterion for Axial Compressor Hub-Corner Stall,” ASME J. Turbomach., 130(3), p. 031006. [CrossRef]
Denton, J. D. , 1993, “ Loss Mechanisms in Turbomachines,” ASME J. Turbomach., 115(4), pp. 621–656. [CrossRef]
Gbadebo, S. A. , Cumpsty, N. A. , and Hynes, T. P. , 2005, “ Three-Dimensional Separations in Axial Compressors,” ASME J. Turbomach., 127(2), pp. 331–339. [CrossRef]
Gbadebo, S. A. , Hynes, T. P. , and Cumpsty, N. A. , 2004, “ Influence of Surface Roughness on Three-Dimensional Separation in Axial Compressors,” ASME J. Turbomach., 126(4), pp. 455–463. [CrossRef]
Gbadebo, S. A. , Cumpsty, N. A. , and Hynes, T. P. , 2007, “ Interaction of Tip Clearance Flow and Three-Dimensional Separations in Axial Compressors,” ASME J. Turbomach., 129(4), pp. 679–685. [CrossRef]
Li, Y. H. , Wu, Y. , Zhou, M. , Su, C. B. , Zhang, X. W. , and Zhu, J. Q. , 2010, “ Control of the Corner Separation in a Compressor Cascade by Steady and Unsteady Plasma Aerodynamic Actuation,” Exp. Fluids, 48(6), pp. 1015–1023. [CrossRef]
Hergt, A. , Meyer, R. , Liesner, K. , and Nicke, E. , 2011, “ A New Approach for Compressor Endwall Contouring,” ASME Paper No. GT2011-45858.
Cao, Z. Y. , Liu, B. , and Zhang, T. , 2014, “ Control of Separations in a Highly Loaded Diffusion Cascade by Tailored Boundary Layer Suction,” Proc. Inst. Mech. Eng., Part C, 228(8), pp. 1363–1374. [CrossRef]
Ji, L. C. , Tian, Y. , Li, W. W. , Yi, W. L. , and Wen, Q. , 2012, “ Numerical Studies on Improving Performance of Rotor-67 by Blended Blade and Endwall Technique,” ASME Paper No. GT2012-68535.
Zhong, J. J. , Han, J. A. , Liu, Y. M. , and Tian, F. , 2008, “ Numerical Simulation of Endwall Fence on the Secondary Flow in Compressor Cascade,” ASME Paper No. GT2008-50888.
Gbadebo, S. A. , Cumpsty, N. A. , and Hynes, T. P. , 2008, “ Control of Three-Dimensional Separations in Axial Compressor by Tailored Boundary Layer Suction,” ASME J. Turbomach., 130(1), p. 011004. [CrossRef]
Wang, Z. N. , and Yuan, X. , 2013, “ Unsteady Mechanism of Compressor Corner Separation Over a Range of Incidence Based on Hybrid LES/RANS,” ASME Paper No. GT2013-95300.
Scillitoe, A. D. , Tucker, P. G. , and Adami, P. , 2015, “ Evaluation of RANS and ZDES Methods for the Prediction of Three-Dimensional Separation in Axial Flow Compressors,” ASME Paper No. GT2015-43975.
Gao, F. , Ma, W. , Zambonini, G. , Boudet, J. , Ottavy, X. , Lu, L. P. , and Shao, L. , 2015, “ Large-Eddy Simulation of 3-D Corner Separation in a Linear Compressor Cascade,” Phys. Fluids, 27(8), p. 085105. [CrossRef]
Liu, Y. W. , Yan, H. , Liu, Y. J. , Lu, L. P. , and Li, Q. S. , 2016, “ Numerical Study of Corner Separation in a Linear Compressor Cascade Using Various Turbulence Models,” Chin. J. Aeronaut., 29(3), pp. 639–652. [CrossRef]
Wu, Y. H. , Wu, J. F. , Zhang, G. G. , and Chu, W. L. , 2014, “ Experimental and Numerical Investigation of Flow Characteristics Near Casing in an Axial Flow Compressor Rotor at Stable and Stall Inception Conditions,” ASME J. Fluids Eng., 136(11), p. 111106. [CrossRef]
Liu, Y. W. , Yan, H. , Fang, L. , and Gao, F. , 2016, “ Modified kω Model Using Kinematic Vorticity for Corner Separation in Compressor Cascade,” Sci. China: Technol. Sci., 59(5), pp. 795–806. [CrossRef]
Ling, J. , Du, X. , Wang, S. T. , and Wang, Z. Q. , 2013, “ Numerical Investigation of Corner Separation on Compressor Cascade,” ASME Paper No. GT2013-95194.
Varpe, M. K. , and Pradeep, A. M. , 2015, “ Benefits of Nonaxisymmetric Endwall Contouring in a Compressor Cascade With a Tip Clearance,” ASME J. Fluids Eng., 137(5), p. 051101. [CrossRef]
Spalart, P. R. , 2012, “ Reflections on RANS Modelling,” Progress in Hybrid RANS-LES Modelling, Springer-Verlag, Berlin, pp. 7–24.
Liu, Y. W. , Yu, X. J. , and Liu, B. J. , 2008, “ Turbulence Models Assessment for Large-Scale Tip Vortices in an Axial Compressor Rotor,” J. Propul. Power, 24(1), pp. 15–25. [CrossRef]
Spalart, P. R. , 2014, “ Philosophies and Fallacies in Turbulence Modeling,” Prog. Aerosp. Sci., 74, pp. 1–15. [CrossRef]
Spalart, P. R. , Jou, W. H. , Strelets, M. , and Allmaras, S. R. , 1997, “ Comments on the Feasibility of LES for Wings and on Hybrid RANS/LES Approach,” 1st AFOSR International Conference on DNS and LES: Advances in DNS/LES, Ruston, LA, Aug. 4–8, Vol. 1, pp. 137–147.
Spalart, P. R. , Deck, S. , Shur, M. L. , Squires, K. D. , Strelets, M. Kh. , and Travin, A. , 2006, “ A New Version of Detached-Eddy Simulation, Resistant to Ambiguous Grid Densities,” Theor. Comput. Fluid Dyn., 20(3), pp. 181–195. [CrossRef]
Im, H. S. , and Zha, G. C. , 2014, “ Delayed Detached Eddy Simulation of Airfoil Stall Flows Using High-Order Schemes,” ASME J. Fluids Eng., 136(11), p. 111104. [CrossRef]
Squires, K. D. , Forsythe, J. R. , and Spalart, P. R. , 2005, “ Detached-Eddy Simulation of the Separated Flow Over a Rounded-Corner Square,” ASME J. Fluids Eng., 127(5), pp. 959–966. [CrossRef]
Liu, Y. W. , Lu, L. P. , Fang, L. , and Gao, F. , 2011, “ Modification of Spalart–Allmaras Model With Consideration of Turbulence Energy Backscatter Using Velocity Helicity,” Phys. Lett. A, 375(24), pp. 2377–2381. [CrossRef]
Liu, Y. W. , Yan, H. , and Lu, L. P. , 2016, “ Numerical Study of the Effect of Secondary Vortex on Three-Dimensional Corner Separation in a Compressor Cascade,” Int. J. Turbo Jet Eng., 33(1), pp. 9–18.
Liu, Y. W. , Sun, J. J. , and Lu, L. P. , 2014, “ Corner Separation Control by Boundary Layer Suction Applied to a Highly Loaded Axial Compressor Cascade,” Energies, 7(12), pp. 7994–8007. [CrossRef]
Spalart, P. R. , 2009, “ Detached-Eddy Simulation,” Annu. Rev. Fluid Mech., 41(1), pp. 181–202. [CrossRef]
Spalart, P. R. , 2001, “ Young-Person's Guide to Detached-Eddy Simulation Grids,” NASA Langley Research Center, Hampton, VA, Technical Report No. NASA/CR-2001-211032.
Wilcox, D. C. , 2006, Turbulence Modeling for CFD, DCW Industries, La Canada, CA.
Chakraborty, P. , Balachandar, S. , and Adrian, R. J. , 2005, “ On the Relationships Between Local Vortex Identification Schemes,” J. Fluid Mech., 18, pp. 261–282.
Lumley, J. , 1978, “ Computational Modeling of Turbulent Flows,” Adv. Appl. Mech., 18, pp. 123–176.
Simonsen, A. J. , and Krogstad, P. A. , 2005, “ Turbulent Stress Invariant Analysis: Clarification of Existing Terminology,” Phys. Fluids, 17(8), p. 088103. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Pictorial view of prescribed velocity distribution (PVD) cascade [7,15]

Grahic Jump Location
Fig. 2

Mesh of PVD cascade: (a) point distribution of blade to blade and (b) topology

Grahic Jump Location
Fig. 3

Velocity profile at inlet

Grahic Jump Location
Fig. 4

Time-averaged pressure coefficient at 54% span

Grahic Jump Location
Fig. 5

Time-averaged pressure coefficient at 89% span

Grahic Jump Location
Fig. 6

Pitchwise mass-averaged total pressure loss at 50.0% chord downstream

Grahic Jump Location
Fig. 7

One-dimensional frequency spectra of velocity fluctuations at P2 in Fig. 8: (a) frequency spectra of velocity and (b) velocity fluctuation

Grahic Jump Location
Fig. 8

Location of monitor points

Grahic Jump Location
Fig. 9

Isosurface of Q=5000

Grahic Jump Location
Fig. 10

Time-averaged velocity and streamline in S3 plane at different chord positions: (a) 35%, (b) 50%, (c) 70%, and (d) 90%

Grahic Jump Location
Fig. 11

Isosurface of Q=100,000

Grahic Jump Location
Fig. 12

Streamwise vorticity magnitude and streamline at the trailing edge of the blade: (a) contour of streamwise vorticity magnitude and (b) streamwise vorticity magnitude and streamline at slice of dashed rectangle in (a)

Grahic Jump Location
Fig. 13

Isosurface Q=2,000,000 at several instantaneous cases

Grahic Jump Location
Fig. 14

Pressure spectra of three monitor points

Grahic Jump Location
Fig. 15

Shear strain rate

Grahic Jump Location
Fig. 16

Turbulent kinetic energy at 80% chord

Grahic Jump Location
Fig. 17

Reynolds stress at 80% chord: (a) 〈u′u′〉, (b) 〈v′v′〉, (c) 〈w′w′〉, (d) 〈u′v′〉, (e) 〈u′w′〉, and (f) 〈v′w′〉

Grahic Jump Location
Fig. 18

Normal Reynolds stress: (a) 10% span, (b) 20% span, and (c) 30% span

Grahic Jump Location
Fig. 19

Shear Reynolds stress: (a) 10% span, (b) 20% span, and (c) 30% span

Grahic Jump Location
Fig. 20

Anisotropy invariant map (a) and position of lines with velocity vectors extracted at 30% span (b), 20% span (c), and 10% span (d)

Grahic Jump Location
Fig. 21

Distribution of points from the extracted lines in anisotropy invariant map at 30% span: (a) no. 1, (b) no. 2, (c) no. 3, and (d) no. 4

Grahic Jump Location
Fig. 22

Distribution of points from the extracted lines in anisotropy invariant map at 20% span: (a) no. 1, (b) no. 2, (c) no. 3, and (d) no. 4

Grahic Jump Location
Fig. 23

Distribution of points from the extracted lines in anisotropy invariant map at 10% span: (a) no. 1, (b) no. 2, (c) no. 3, and (d) no. 4

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In