DOI QR코드

DOI QR Code

A Comparison of Surge Behaviors in Multi-Stage and Single-Stage Axial Flow Compressors

  • Received : 2015.09.21
  • Accepted : 2016.01.08
  • Published : 2016.12.31

Abstract

Information on the surge behaviors and stall stagnation boundaries for a nine-stage axial flow compressor are summarized on the basis of analytical data in comparison with those for a single-stage one, with attention to the pressure ratio effect. The general trends of the surge loop behaviors of the pressure-mass flow are similar for both compressors including the fact that the subharmonic surges tend to appear very near the stall stagnation boundaries. With respect to the nine-stage compressor, however, the mild loops in the subharmonic surges tend to be very small in size relative to the deep loops, and at the same time, insufficient surge recovery phenomenon, which is a kind of subharmonic surge, appears also far from the stagnation boundary for relatively short delivery flow-paths. The latter is found to be a rear-stage surge caused by unstalling and re-stalling of the rear stages with the front-stages kept in stall in the stalled condition of the whole compressor, which situation is caused by stage-wise mismatching in the bottom pressure levels of the in-stall multi-stage compressor. The fundamental information on the stall stagnation boundaries is given by a group of normalized geometrical parameters including relative delivery flow-path length, relative suction flow-path length, and sectional area-pressure ratio, and by another group of normalized frequency parameters including relative surge frequencies, modified reduced resonance frequencies, and modified reduced surge frequencies. Respective groups of the normalized parameters show very similar tendency of behaviors for the nine-stage compressor and the single-stage compressor. The modified reduced resonance frequency could be the more reasonable parameter suggesting the flow-induced oscillation nature of the surge phenomena. It could give the stall stagnation boundary in a more unified manner than the Greitzer's B parameter.

Keywords

References

  1. Fujii, S., 1947, "Stability and Surging in Centrifugal Pumps, Part 1 and Part 2 (in Japanese)," Transaction, Japan Society of Mechanical Engineering, Vol. 13, No. 44, 1947-5, pp. 184-191 and 192-201. (See Yamaguchi and Tsujimoto [11] below where the essential parts of the paper have been translated into English.) https://doi.org/10.1299/kikai1938.13.44_184
  2. Greitzer, E. M., 1976, "Surge and Rotating Stall in Axial Flow Compressors, Part I and II," ASME, Journal of Engineering for Power, Vol. 98, 1976-4, pp. 190-198 and pp. 199-217 https://doi.org/10.1115/1.3446138
  3. Corbett, A. G. and Elder, R. L., Mathematical Modeling of Compressor Stability in Steady and Unsteady Flow Conditions, in "Unsteady Phenomena in Turbomachinery", AGARD-CP-177
  4. Davis, Jr., M. W., and O'Brien, W. F., 1987, A Stage-by-Stage Post-Stall Compression System Modeling Technique, AIAA-87-2088
  5. Boyer, K. M., and O'Brien, W. F., 1989, Model Predictions for Improved Recoverability of a Multi-Stage Axial-Flow Compressor, AIAA-89-2687
  6. Yamaguchi, N., 2013, Development of a Simulation Method of Surge Transient Flow Phenomena in a Multistage Axial Flow Compressor and Duct System, International Journal of Fluid Machinery and Systems, Vol. 6, No.4, pp. 189-199 https://doi.org/10.5293/IJFMS.2013.6.4.189
  7. Yamaguchi, N., 2013, Analytical Study on Stall Stagnation Boundaries in Axial-Flow Compressor and Duct Systems, International Journal of Fluid Machinery and Systems, Vol. 6, No. 2, pp. 56-74 https://doi.org/10.5293/IJFMS.2013.6.2.056
  8. Yamaguchi, N., 2014, Surge Phenomena Analytically Predicted in a Multi-stage Axial Flow Compressor System in the Reduced-Speed Zone, International Journal of Fluid Machinery and Systems, Vol. 7, No.3, pp. 110-124 https://doi.org/10.5293/IJFMS.2014.7.3.110
  9. Yamaguchi, N.,2014, A Study on the Fundamental Surge Frequencies in Multi-Stage Axial Flow Compressor Systems, International Journal of Fluid Machinery and Systems, Vol. 7, No.4, pp. 110-124 https://doi.org/10.5293/IJFMS.2014.7.3.110
  10. Yamaguchi, N., 2016, Analytical Surge Behaviors in Systems of a Single-stage Axial Flow Compressor and Flow-paths, International Journal of Fluid Machinery and Systems, Vol. 9, No.1, pp. 1-16 https://doi.org/10.5293/IJFMS.2016.9.1.001
  11. Yamaguchi, N. and Tsujimoto, Y., 2016, Genesis of Researches on Surges in Pumping Systems in Japan, International Journal of Fluid Machinery and Systems, Vol. 9, No.1, pp. 17-27 https://doi.org/10.5293/IJFMS.2016.9.1.017