A novel theoretical model of the internal flow field in multistage axial compressors based on an eigenvalue approach is developed, in order to predict the onset of acoustic resonance in aircraft engines. Using an example high-speed four-stage compressor, it is shown that one of the resultant frequencies is in excellent agreement with the experimental data in terms of acoustic resonance. On the basis of the computed natural frequency of the whole compression system and the measured spanwise distribution of static pressure, the location of the acoustic excitation source can be found in the third stage. Unsteady flow simulations of the full annulus of this stage reveal two criteria for acoustic excitation at the rotor-blade tip, reversed flow near the suction surface and flow impingement on the pressure surface. Additionally, a fast Fourier transform of the unsteady pressure field at the upper rotor-blade span verifies the existence of the computed unstable frequency of the oscillating tip leakage flow. Using this novel theory, which combines a theoretical calculation of flow-instability frequency of the global system with the computational simulation of a single stage, the onset mechanism and location of the excitation source of acoustic resonance in multistage turbomachinery can be explained at acceptable computational cost.
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August 2018
Research-Article
A Theory on the Onset of Acoustic Resonance in a Multistage Compressor
Xiaohua Liu,
Xiaohua Liu
School of Aeronautics and Astronautics,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: xiaohua-liu@sjtu.edu.cn
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: xiaohua-liu@sjtu.edu.cn
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Tobias Willeke,
Tobias Willeke
Institute of Turbomachinery and Fluid Dynamics,
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: willeke@tfd.uni-hannover.de
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: willeke@tfd.uni-hannover.de
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Florian Herbst,
Florian Herbst
Institute of Turbomachinery and Fluid Dynamics,
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Herbst@tfd.uni-hannover.de
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Herbst@tfd.uni-hannover.de
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Jun Yang,
Jun Yang
School of Energy and Power Engineering,
University of Shanghai for
Science and Technology,
No. 516 JunGong Road,
Shanghai 200093, China
e-mail: yangjun@usst.edu.cn
University of Shanghai for
Science and Technology,
No. 516 JunGong Road,
Shanghai 200093, China
e-mail: yangjun@usst.edu.cn
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Joerg Seume
Joerg Seume
Institute of Turbomachinery and Fluid Dynamics,
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Seume@tfd.uni-hannover.de
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Seume@tfd.uni-hannover.de
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Xiaohua Liu
School of Aeronautics and Astronautics,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: xiaohua-liu@sjtu.edu.cn
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: xiaohua-liu@sjtu.edu.cn
Tobias Willeke
Institute of Turbomachinery and Fluid Dynamics,
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: willeke@tfd.uni-hannover.de
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: willeke@tfd.uni-hannover.de
Florian Herbst
Institute of Turbomachinery and Fluid Dynamics,
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Herbst@tfd.uni-hannover.de
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Herbst@tfd.uni-hannover.de
Jun Yang
School of Energy and Power Engineering,
University of Shanghai for
Science and Technology,
No. 516 JunGong Road,
Shanghai 200093, China
e-mail: yangjun@usst.edu.cn
University of Shanghai for
Science and Technology,
No. 516 JunGong Road,
Shanghai 200093, China
e-mail: yangjun@usst.edu.cn
Joerg Seume
Institute of Turbomachinery and Fluid Dynamics,
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Seume@tfd.uni-hannover.de
Leibniz Universität Hannover,
Appelstraße 9,
Hannover 30167, Germany
e-mail: Seume@tfd.uni-hannover.de
1Corresponding author.
Manuscript received February 15, 2018; final manuscript received June 8, 2018; published online July 24, 2018. Assoc. Editor: Rakesh Srivastava.
J. Turbomach. Aug 2018, 140(8): 081003 (12 pages)
Published Online: July 24, 2018
Article history
Received:
February 15, 2018
Revised:
June 8, 2018
Citation
Liu, X., Willeke, T., Herbst, F., Yang, J., and Seume, J. (July 24, 2018). "A Theory on the Onset of Acoustic Resonance in a Multistage Compressor." ASME. J. Turbomach. August 2018; 140(8): 081003. https://doi.org/10.1115/1.4040551
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