A Theory on the Onset of Acoustic Resonance in a Multistage Compressor

Author:

Liu Xiaohua1,Willeke Tobias2,Herbst Florian2,Yang Jun3,Seume Joerg2

Affiliation:

1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, No. 800 Dongchuan Road, Shanghai 200240, China e-mail:

2. Institute of Turbomachinery and Fluid Dynamics, Leibniz Universität Hannover, Appelstraße 9, Hannover 30167, Germany e-mail:

3. School of Energy and Power Engineering, University of Shanghai for Science and Technology, No. 516 JunGong Road, Shanghai 200093, China e-mail:

Abstract

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.

Funder

National Natural Science Foundation of China

Alexander von Humboldt-Stiftung

Publisher

ASME International

Subject

Mechanical Engineering

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