This paper presents an innovative stability analysis and design approach for time-domain impedance boundary conditions to simulate noise propagation and radiation from a lined turbomachinery duct in the presence of a mean flow. A control-oriented model is developed for the stability analysis of the impedance boundary condition by using generalized function at the lining surface. The mean flow effect and sound propagation are considered in the model as well. Then, the numerical stability issue is analyzed by using the Bode plots before stabilized accordingly by employing the phase lead compensator method, which results in a rational transfer function. Finally, the corresponding time-domain implementation is achieved by using the so-called controllable canonical form rather than an inconvenient convolution operation. The performance of the current proposed approach is first validated in an in-duct propagation case by comparing to analytical solutions obtained by employing the Wiener–Hopf method and then demonstrated in a couple of duct acoustic problems with representative turbomachinery setups. The innovative cross-disciplinary nature of the current proposed approach can shed light on impedance problems and is very useful to time-domain acoustic simulations for turbomachinery applications.
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January 2018
Research-Article
Control-Oriented Methods for Turbomachinery Noise Simulation
Alex Siu Hong Lau,
Alex Siu Hong Lau
Department of Mechanical and
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: alexshlau@ust.hk
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: alexshlau@ust.hk
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Siyang Zhong,
Siyang Zhong
Department of Mechanical and
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: szhongad@connect.ust.hk
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: szhongad@connect.ust.hk
Search for other works by this author on:
Xun Huang
Xun Huang
Department of Mechanical and
Aerospace Engineering,
The Hong Kong University
of Science and Technology,
Kowloon, Hong Kong, China;
Aerospace Engineering,
The Hong Kong University
of Science and Technology,
Kowloon, Hong Kong, China;
Department of Aeronautics and Astronautics,
College of Engineering,
Peking University,
Beijing 100871, China
e-mails: huangxun@ust.hk;
huangxun@pku.edu.cn
College of Engineering,
Peking University,
Beijing 100871, China
e-mails: huangxun@ust.hk;
huangxun@pku.edu.cn
Search for other works by this author on:
Alex Siu Hong Lau
Department of Mechanical and
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: alexshlau@ust.hk
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: alexshlau@ust.hk
Siyang Zhong
Department of Mechanical and
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: szhongad@connect.ust.hk
Aerospace Engineering,
Hong Kong University of Science
and Technology,
Kowloon, Hong Kong, China
e-mail: szhongad@connect.ust.hk
Xun Huang
Department of Mechanical and
Aerospace Engineering,
The Hong Kong University
of Science and Technology,
Kowloon, Hong Kong, China;
Aerospace Engineering,
The Hong Kong University
of Science and Technology,
Kowloon, Hong Kong, China;
Department of Aeronautics and Astronautics,
College of Engineering,
Peking University,
Beijing 100871, China
e-mails: huangxun@ust.hk;
huangxun@pku.edu.cn
College of Engineering,
Peking University,
Beijing 100871, China
e-mails: huangxun@ust.hk;
huangxun@pku.edu.cn
1Corresponding author.
Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received May 24, 2017; final manuscript received September 6, 2017; published online October 17, 2017. Assoc. Editor: Rakesh Srivastava.
J. Turbomach. Jan 2018, 140(1): 011001 (15 pages)
Published Online: October 17, 2017
Article history
Received:
May 24, 2017
Revised:
September 6, 2017
Citation
Lau, A. S. H., Zhong, S., and Huang, X. (October 17, 2017). "Control-Oriented Methods for Turbomachinery Noise Simulation." ASME. J. Turbomach. January 2018; 140(1): 011001. https://doi.org/10.1115/1.4038022
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