Fluid Mechanics and Flight Mechanics

Axial Transonic Compressor Flow Instability Prediction Based on Eigenvalue Theory

  • LIU Xiaohua ,
  • ZHOU Yanpei ,
  • SUN Dakun ,
  • MA Yunfei ,
  • SUN Xiaofeng
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  • 1. Aeroengine Airworthiness Certification Center Preparatory Office, China Academy of Civil Aviation Science and Technology, Beijing 100028, China;
    2. School of Energy and Power Engineering, Beihang University, Beijing 100191, China

Received date: 2013-11-08

  Revised date: 2013-12-19

  Online published: 2013-12-23

Supported by

National Natural Science Foundation of China (51106154,51010007,51236001); National Basic Research Program of China(2012CB720201)

Abstract

Flow instability is a great challenge in turbomachinery, and rotating stall is one major type of flow instability in compression system of aero-engine. In the present paper a rotating stall inception model based on a general eigenvalue theory of flow stability is developed with an emphasis on flow instability onset in axial transonic compressors. After solving the established eigenvalue equation using the spectral method and the singular value decomposition (SVD) method, the onset point of flow instability is determined by the imaginary part of the resultant eigenvalue. The significant effect of flow compressibility on the stall onset point calculation for a transonic rotor is studied by comparing the prediction results for a high speed single rotor at both high and low rotational speeds. The capacity of the present model to predict the stall inception point is assessed against the experimental data of a transonic single stage compressor. It is verified that this model is capable of predicting the mass flow at the stall onset point of a multi-stage transonic compressor flow with reasonable accuracy without numerous empirical data, and it is sustainable in terms of computation cost for industrial application.

Cite this article

LIU Xiaohua , ZHOU Yanpei , SUN Dakun , MA Yunfei , SUN Xiaofeng . Axial Transonic Compressor Flow Instability Prediction Based on Eigenvalue Theory[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(11) : 2979 -2991 . DOI: 10.7527/S1000-6893.2013.0499

References

[1] McDougall N M, Cumpsty N A, Hynes T P. Stall inception in axial compressors[J]. Journal of Turbomachinery, 1990, 112(1): 116-125.

[2] Day I J. Stall inception in axial flow compressors[J]. Journal of Turbomachinery, 1993, 115(1): 1-9.

[3] Camp T R, Day I J. A study of spike and modal stall phenomena in a low-speed axial compressor[J]. Journal of Turbomachinery, 1998, 120(3): 393-401.

[4] Day I J, Breuer T, Escuret J, et al. Stall inception and the prospects for active control in four high-speed compressors[J]. Journal of Turbomachinery, 1999, 121(1): 18-27.

[5] Wilson A G, Freeman C. Stall inception and development in an axial flow aeroengine[J]. Journal of Turbomachinery, 1994, 116(2): 216-225.

[6] Tan C S, Day I J, Morris S, et al. Spike-type compressor stall inception, detection, and control[J]. Annual Review of Fluid Mechanics, 2010, 42(1): 275-300.

[7] Nenni J P, Ludwig G R. A theory to predict the inception of rotating stall in axial flow compressors, AIAA-1974-528[R]. Reston: AIAA, 1974.

[8] Ludwig G R, Nenni J P. Basic studies of rotating stall in axial flow compressors, AFAPL-TR-79-2083[R]. 1979.

[9] Moore F K, Greitzer E M. A theory of post-stall transients in axial compression systems:part1-2[J]. Journal of Engineering for Gas Turbine and Power, 1986, 108(1): 68-75, 231-239.

[10] Gordon K. Three-dimensional rotating stall inception and effects of rotating tip clearance asymmetry in axial compressors[D].Cambridge:Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 1998.

[11] Sun X F. On the relationship between the inception of rotating stall and casing treatment[C]//32nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 1996.

[12] Liu X H, Sun D K, Sun X F, et al. Flow stability theory for fan/compressors with annular duct and novel casing treatment[J]. Chinese Journal of Aeronautics, 2012, 25(2): 143-154.

[13] Lindau J W, Owen A K. Nonlinear quasi-three-dimensional modeling of rotating stall and surge, AIAA-1997-2772[R]. Reston: AIAA, 1997.

[14] Longley J P. Calculating the flow field behavior of high-speed multi-stage compressors, ASME Paper, GT-97-468[R]. New York: ASME, 1997.

[15] Escuret J F, Garnier V. Numerical simulations of surge and rotating stall in multi-stage axial-flow compressors, AIAA-1994-3202[R]. Reston: AIAA, 1994.

[16] Chima R V. A three-dimensional unsteady CFD model of compressor stability, ASME Paper, GT-2006-90040[R]. New York: ASME, 2006.

[17] Gong Y. A computational model for rotating stall and inlet distortions in multistage compressors[D]. Cambridge: Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 1999.

[18] Hoying D A. Blade passage flow structure effects on axial compressor rotating stall inception, GTL Report No. 224[R]. Cambridge: Massachusetts Institute of Technology, 1996.

[19] He L. Computational study of rotating-stall inception in axial compressors[J]. Journal of Propulsion and Power, 1997, 13(1): 31-38.

[20] Chen J P, Johnson B, Hathaway M D, et al. Flow characteristics of tip injection on compressor rotating spike via time-accurate simulation[J]. Journal of Propulsion and Power, 2009, 25(3): 678-686.

[21] Tryfonidis M, Etchevers O, Paduano J D, et al. Pre-stall behavior of several high-speed compressors[J]. Journal of Turbomachinery, 1995, 117(1): 625-636.

[22] Weigl H J, Paduano J D, Frechette L G, et al. Active stabilization of rotating stall and surge in a transonic single-stage axial compressor[J]. Journal of Turbomachinery, 1998, 120(4): 625-636.

[23] Bonnaure L P. Modelling high speed multistage compressor stability[D].Cambridge: Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 1991.

[24] Sun X F, Liu X H, Hou R W, et al. A general theory of flow instability inception in turbomachinery[J]. AIAA Journal, 2013, 51(7): 1675-1687.

[25] Peskin C S. Flow patterns around heart valves: anumerical method[J]. Journal of Computational Physics, 1972, 10(2): 252-271.

[26] Sirovich L. Initial and boundary value problems in dissipative gas dynamics[J]. Physics of Fluids, 1967, 10(1): 24-34.

[27] Denton J D, Dawes W N. Computational fluid dynamics for turbomachinery design[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 1998, 213(2): 107-124.

[28] Xu L. Assessing viscous body forces for unsteady calculations[J]. Journal of Turbomachinery, 2003, 125(2): 425-432.

[29] Yu W W, Wang X Y, Sun X F. Investigation on the theoretical model combined with the novel casting treatment with rotating stall[J]. Journal of Aerospace Power, 2005, 20(5): 873-881. (in Chinese) 于巍巍, 王晓宇, 孙晓峰. 包含处理机匣影响的压气机旋转失速稳定性模型[J]. 航空动力学报, 2005, 20(5): 873-881.

[30] Yu W W, Sun X F. Rotating stall stability theory of the transonic axial compressors/fans[J]. Journal of Aerospace Power, 2005, 20(6): 1018-1027. (in Chinese) 于巍巍, 孙晓峰. 跨声压气机/风扇旋转失速稳定性模型[J]. 航空动力学报, 2005, 20(6): 1018-1027.

[31] Malik M R. Finite-difference solution of the compressible stability eigenvalue problem, NASA CR-3584[R]. Washington, D.C.: NASA, 1982.

[32] Woodley B M, Peake N. Resonant acoustic frequencies of a tandem cascade, part 1:zero relative motion[J]. Journal of Fluid Mechanics, 1999, 393(1): 215-240.

[33] Cooper A J, Parry A B, Peake N. Acoustic resonance in aeroengine intake ducts[J]. Journal of Turbomachinery, 2004, 126(3): 432-441.

[34] Moore R D, Reid L. Performance of single-stage axial-flow transonic compressor with rotor and stator aspect ratio of 1.19 and 1.26,respectively, and with design pressure ratio of 2.05, NASA-TP-1659[R]. Washington, D.C.: NASA, 1980.

[35] Suder K L, Celestina M L. Experimental and computational investigation of the tip clearance flow in a transonic axial compressor rotor[J]. Journal of Turbomachinery, 1996, 118(2): 218-229.

[36] Denton J D. Lessons from rotor 37[J]. Journal of Thermal Science, 1997, 6(1): 1-13.

[37] Liu X H, Hou R W, Sun D K, et al. Flow instability inception model of compressors based on eigenvalue theory[C]//48th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 2012.

[38] Reid L, Moore R D. Performance of single-stage axial-flow transonic compressor with rotor and stator aspect ratios of 1.19 and 1.26, respectively, and with design pressure ratio of 1.82, NASA TP-1338[R].Washington, D.C.: NASA, 1978.

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