Skip to main content
Log in

Prediction of stall inception in multi-stage compressors based on an eigenvalue approach

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

A stability model for multi-stage compressor is developed on the basis of the eigenvalue approach. This model assumes that the unsteady flow field can be decomposed into pressure, vortex and entropy waves. Besides, a linear cascade of blades is modeled by three-dimensional semi-actuator disk theory and the characteristics of steady flow field are also considered in the present model. The connection between the analytical solution for stator, rotor and gap can be established by applying mode matching approach, the relevant stability equation can be expressed in the form of matrix, while the compressor system stability can be judged by the imaginary part of the matrix eigenvalue. The capacity of the stall inception model to predict the stall inception point of multi-stage compressor is assessed against the experimental data of National Aeronautics and Space Administration (NASA) two stage fan. The theoretical results show that this model can predict the stall onset points of a two-stage fan at different operating speeds with a reasonable accuracy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hendricks G J, Sabnis J S, Feulner M R. Analysis of instability inception in high-speed multi-stage axial-flow compressors. In: Proceedings of ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. Birmingham, UK, 1996

    Book  Google Scholar 

  2. Longley J P. Calculating the flow field behaviour of high-speed multistage compressors. In: Proceedings of ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition. Orlando, 1997

    Google Scholar 

  3. He L. Computational study of rotating-stall inception in axial compressors. J Propul Power, 1997, 13: 31–38

    Article  Google Scholar 

  4. Gong Y, Tan C S, Gordon K A. A computational model for short wavelength stall inception and development in multistage compressors. In: Proceedings of ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition. Stockholm, 1998

    Google Scholar 

  5. Sun X, Liu X, Hou R, et al. A general theory of flow-instability inception in turbomachinery. AIAA J, 2013, 51: 1675–1687

    Article  Google Scholar 

  6. Liu X, Sun D, Sun X. Basic studies of flow-instability inception in axial compressors using eigenvalue method. J Fluids Eng, 2014, 136: 031102

    Article  Google Scholar 

  7. Liu X, Zhou Y, Sun X, et al. Calculation of flow instability inception in high speed axial compressors based on an eigenvalue theory. J Turbomach, 2015, 137: 061007

    Article  Google Scholar 

  8. Sun X F, Ma Y F, Liu X H, et al. Flow stability model of centrifugal compressor based on eigenvalue approach. AIAA J, 2016, 54: 2361

    Article  Google Scholar 

  9. Chen J P, Hathaway M D, Herrick G P. Prestall behavior of a transonic axial compressor stage via time-accurate numerical simulation. J Turbomach, 2008, 130: 041014

    Article  Google Scholar 

  10. Sears W R. Rotating stall in axial compressors. J Appl Math Phys (ZAMP), 1955, 6: 429–455

    Article  MATH  Google Scholar 

  11. Emmons H W, Pearson C E, Grant H P. Compressor surge and stall propagation. ASME Trans, 1955, 77: 455–469

    Google Scholar 

  12. Day I J. Stall, surge and 75 years of research. J Turbomach, 2016, 138: 011001

    Article  Google Scholar 

  13. Stenning A H. Rotating stall and surge. J Fluids Eng, 1980, 102: 14–20

    Article  Google Scholar 

  14. Nenni J P, Ludwig G R. A theory to predict the inception of rotating stall in axial flow compressors. In: Proceedings of the 7th Fluid and Plasma Dynamics Conference. Palo Alto, CA, 1974

    Book  Google Scholar 

  15. Ludwig G R, Nenni J P. Basic studies of rotating stall in axial flow compressors. Technology Report. Calspan Advanced Technology Center Buffalo NY Aerodynamic Research Dept, 1979

    Google Scholar 

  16. Bonnaure L P. Modeling high speed multistage compressor stability. Doctoral Dissertation. Massachusetts: Massachusetts Institute of Technology, 1991

    Google Scholar 

  17. Takata H, Nagashima T. Rotating stall in three-dimensional blade rows subjected to spanwise shear flow. In: Proceedings of the 7th International Symposium on Air Breathing Engines. Beijing, China, 1985

    Google Scholar 

  18. Gordon K. Three-dimensional rotating stall inception and effects of rotating tip clearance asymmetry in axial compressors. Dissertation of Doctoral Degree. Massachusetts: Massachusetts Institute of Technology, 1998

    Google Scholar 

  19. Gorrell S E, Russler P M. Stall inception in a high-speed low aspect ratio fan including the effects of casing treatments. In: Proceedings of ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. The Hague, 1994

    Book  Google Scholar 

  20. Sun X F. On the relation between the inception of rotating stall and casing treatment. In: Proceedings of 32nd Joint Propulsion Conference and Exhibit. Lake Buena Vista, FL, 1996

    Book  Google Scholar 

  21. Sun X, Sun D, Yu W. A model to predict stall inception of transonic axial flow fan/compressors. Chin J Aeronautics, 2011, 24: 687–700

    Article  Google Scholar 

  22. Sun D, Liu X, Sun X. An evaluation approach for the stall margin enhancement with stall precursor-suppressed casing treatment. J Fluids Eng, 2015, 137: 081102

    Article  Google Scholar 

  23. Sun X, Sun D, Liu X, et al. Theory of compressor stability enhancement using novel casing treatment, Part I: Methodology. J Propul Power, 2014, 30: 1224–1235

    Article  Google Scholar 

  24. Sun D, Liu X, Jin D, et al. Theory of compressor stability enhancement using novel casing treatment, Part II: Experiment. J Propul Power, 2014, 30: 1236–1247

    Article  Google Scholar 

  25. Sun D K, Nie C Q, Liu X H, et al. Further investigation on transonic compressor stall margin enhancement with stall precursor-suppressed casing treatment. J Turbomach, 2016, 138: 021001

    Article  Google Scholar 

  26. Liu X, Sun D, Sun X, et al. Flow stability model for fan/compressors with annular duct and novel casing treatment. Chin J Aeronautics, 2012, 25: 143–154

    Article  Google Scholar 

  27. Dong X, Liu X, Sun D, et al. Experimental investigation on SPS casing treatment with bias flow. Chin J Aeronautics, 2014, 27: 1352–1362

    Article  Google Scholar 

  28. Urasek D C, Gorrell W T, Cunnan W S. Performance of two-stage fan having low-aspect-ratio first-stage rotor blading. Technology Repot. NASA, 1979

    Google Scholar 

  29. Howard III, Joseph S. Improved methods for modeling dynamic stage characteristics. Dissertation of Masteral Degree. Virginia: Virginia Polytechnic Institute and State University, 1999

    Google Scholar 

  30. Cunnan W S, Stevans W, Urasek D C. Design and performance of a 427-meter-per-second-tip-speed two-stage fan having a 2.40 pressure ratio. Technology Repot. NASA, 1978

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to DaKun Sun.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cheng, F., Sun, D., Dong, X. et al. Prediction of stall inception in multi-stage compressors based on an eigenvalue approach. Sci. China Technol. Sci. 60, 1132–1143 (2017). https://doi.org/10.1007/s11431-016-0355-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-016-0355-3

Keywords

Navigation