EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 54 Issue 3
Mar.  2022
Turn off MathJax
Article Contents
Abstract
References
Related Articles
Gan Zhenpeng, Yang Dong. An acoustic analogy model for Helmholtz resonators with cooling bias flow. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(3): 577-587. DOI: 10.6052/0459-1879-21-561
Citation: Gan Zhenpeng, Yang Dong. An acoustic analogy model for Helmholtz resonators with cooling bias flow. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(3): 577-587. DOI: 10.6052/0459-1879-21-561
shu

AN ACOUSTIC ANALOGY MODEL FOR HELMHOLTZ RESONATORS WITH COOLING BIAS FLOW

  • Department of Mechanics and Aerospace Engineering, School of Engineering, Southern University of Science and Technology, Shenzhen 518055, Guangdong, China

  • Received Date: October 30, 2021
  • Accepted Date: February 18, 2022
  • Available Online: February 19, 2022
    Graphical Abstract
    • Abstract
  • Helmholtz resonators (HR), as a typical passive muffler device, are often installed in the combustor of aero engines and gas turbines to absorb noise and suppress combustion thermoacoustic oscillations. In practical applications, in order to prevent the high temperature gas in the combustion chamber from damaging the HR, a cooling airflow is often introduced from the back cavity of the HR into the combustor through its neck to protect the HR. The temperature of this cooling airflow is generally significantly lower than the temperature of the gas in the combustor. When such HR is installed on the combustor, the temperature difference may affect the relationship between the sound waves and entropy waves upstream and downstream of the HR in the combustor, and further affect the sound absorption performance of the HR. However, in previous models for studying the influence of HR on thermoacoustic oscillations in the combustor, the influence of this temperature difference is generally ignored. Based on the idea of acoustic analogy, we develop a theoretical model in this paper which can predict the acoustic performance of HR with cooling airflow. This HR is installed in a one-dimensional acoustic duct. The model is based on one-dimensional mass, momentum and energy conservation equations. Under the assumption of no viscous dissipation, ignoring volume forces, all external heat sources and thermal diffusion, we derived for the first time the wave equation with source term in a one-dimensional combustor with Helmholtz resonator with cooling airflow installed on the side wall.The source term on the right side of the equation reflects the effect of the resonator on the one-dimensional sound field in the combustor. It can be seen from this equation that the sound source/sink dissipation caused by the resonator is composed of entropy disturbance and mass disturbance terms. It can be further seen that the entropy disturbance generated by the temperature difference of the resonator will enter the one-dimensional sound wave equation in the combustor in the form of a sound source, significantly changing the effect of HR on the sound field in the combustor near its resonance frequency. By comparing with the existing jump condition model, we verified the accuracy of the model in predicting the effect of HR temperature difference on the sound field in the one-dimensional combustor.
    • FullText(HTML)
    • References (31)
  • [1]
    杨艳, 张业玲, 杜磊等. 聚焦“双碳”, 开启“十四五”环保产业发展新征程. 中国环保产业, 2021, 8: 6-9 (Yang Yan, Zhang Yeling, Du Lei, et al. Focus on "Double Carbon" and start a new journey of environmental protection industry development during the "14th Five-Year Plan". China Environmental Protection Industry, 2021, 8: 6-9 (in Chinese) doi: 10.3969/j.issn.1006-5377.2021.08.001
    [2]
    Correa SM. Power generation and aeropropulsion gas turbines: From combustion science to combustion technology. Proceedings of the Combustion Institute, 1998, 27(2): 1793-1807
    [3]
    Lieuwen T, Zinn BT. The role of equivalence ratio oscillations in driving combustion instabilities in low NOx gas turbines. Proceedings of the Combustion Institute, 1998, 27(2): 1809-1816
    [4]
    Candel S. Combustion dynamics and control: progress and challenges. Proceedings of the Combustion Institute, 2002, 29(1): 1-28 doi: 10.1016/S1540-7489(02)80007-4
    [5]
    Lieuwen TC, Yang V. Combustion instabilities in gas turbine engines: operational experience, fundamental mechanisms, and modeling. The Aeronautical Journal, 2005, 110(1108): 394
    [6]
    Dowling AP, Ffowcs Williams JE. Sound and Sources of Sound. New York: John Wiley & Sons, Inc., 1983
    [7]
    Lieuwen T. Modeling premixed combustion-acoustic wave interactions: A review. Journal of Propulsion and Power, 2003, 19(5): 765-781 doi: 10.2514/2.6193
    [8]
    Dowling AP. Nonlinear self-excited oscillations of a ducted flame. Journal of Fluid Mechanics, 1997, 346: 271-290 doi: 10.1017/S0022112097006484
    [9]
    Yang D, Wang X, Zhu M. The impact of the neck material on the sound absorption performance of Helmholtz resonators. Journal of Sound and Vibration, 2014, 333(25): 6843-6857 doi: 10.1016/j.jsv.2014.07.034
    [10]
    Dupere I, Dowling A. The absorption of sound by helmholtz resonators with and without flow//8th AIAA/CEAS Aeroacoustics Conference & Exhibit, 2002: 2590
    [11]
    Eldredge JD, Dowling AP. The absorption of axial acoustic waves by a perforated liner with bias flow. Journal of Fluid Mechanics, 2003, 485: 307-335 doi: 10.1017/S0022112003004518
    [12]
    Zhao D, A'barrow C, Morgans AS, et al. Acoustic damping of a Helmholtz resonator with an oscillating volume. AIAA Journal, 2009, 47(7): 1672-1679 doi: 10.2514/1.39704
    [13]
    Dupere IDJ, Dowling AP. The use of Helmholtz resonators in a practical combustor. Journal of Engineering for Gas Turbines Power, 2005, 127(2): 268-275 doi: 10.1115/1.1806838
    [14]
    Cummings A. Acoustic nonlinearities and power losses at orifices. AIAA Journal, 1984, 22(6): 786-792 doi: 10.2514/3.8680
    [15]
    Bellucci V, Flohr P, Paschereit CO, et al. On the use of Helmholtz resonators for damping acoustic pulsations in industrial gas turbines. Journal of Engineering for Gas Turbines Power, 2004, 126(2): 271-275 doi: 10.1115/1.1473152
    [16]
    Yang D, Morgans AS. Acoustic models for cooled Helmholtz resonators. AIAA Journal, 2017, 55(9): 3120-3127 doi: 10.2514/1.J055854
    [17]
    Yang D, Laera D, Morgans AS. Open source combustion instability low order simulator for annular combustors. OSCILOS Long Techn- ical Report, Tech. Brep, 2014
    [18]
    Ffowcs William, JE. Aeroacoustics. Annual Review of Fluid Mechanics, 1977, 9(1): 447-468 doi: 10.1146/annurev.fl.09.010177.002311
    [19]
    Howe MS. Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute. Journal of Fluid Mechanics, 1975, 71(4): 625-673 doi: 10.1017/S0022112075002777
    [20]
    Falkovich G. Fluid Mechanics: A Short Course for Physicists. Cambridge : Cambridge University Press, 2011
    [21]
    Yang D, Guzmán-Iñigo J, Morgans AS. Sound generation by entropy perturbations passing through a sudden flow expansion. Journal of Fluid Mechanics, 2020, 905(2): 1-9
    [22]
    Howe MS. On the theory of unsteady high Reynolds number flow through a circular aperture. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1979, 366(1725): 205-223 doi: 10.1098/rspa.1979.0048
    [23]
    Hughes IJ, Dowling AP. The absorption of sound by perforated linings. Journal of Fluid Mechanics, 1990, 218: 299-335 doi: 10.1017/S002211209000101X
    [24]
    Jing X, Sun X. Experimental investigations of perforated liners with bias flow. The Journal of the Acoustical Society of America, 1999, 106(5): 2436-2441 doi: 10.1121/1.428128
    [25]
    Rupp J, Carrotte J, Spencer A. Interaction between the acoustic pressure fluctuations and the unsteady flow field through circular holes. Journal of Engineering for Gas Turbines and Power, 2010, 132(6): 061501 doi: 10.1115/1.4000114
    [26]
    Scarpato A, Tran N, Ducruix S, et al. Modeling the damping properties of perforated screens traversed by a bias flow and backed by a cavity at low Strouhal number. Journal of Sound and Vibration, 2012, 331(2): 276-290 doi: 10.1016/j.jsv.2011.09.005
    [27]
    Yang D, Morgans AS. Helmholtz resonators for damping combustor thermoacoustic//The 22th International Congress on Sound and Vibration, 2015
    [28]
    Morfey CL. Sound transmission and generation in ducts with flow. Journal of Sound and Vibration, 1971, 14(1): 37-55 doi: 10.1016/0022-460X(71)90506-2
    [29]
    Shahani F, Soltani P, Zarrebini M. The analysis of acoustic characteristics and sound absorption coefficient of needle punched nonwoven fabrics. Journal of Engineered Fibers and Fabrics, 2014, 9(2): 84-92
    [30]
    Dowling AP, Mahmoudi Y. Combustion noise. Proceedings of the Combustion Institute, 2015, 35(1): 65-100 doi: 10.1016/j.proci.2014.08.016
    [31]
    Morgans AS, Duran I. Entropy noise: A review of theory, progress and challenges. International Journal of Spray and Combustion Dynamics, 2016, 8(4): 285-298 doi: 10.1177/1756827716651791
    • Related Articles

  • Related Articles

    [1]Yu Jiangfei, Zhou Zixuan, Peng Jiangpeng, Tang Tao, Yang Wangfeng, Yang Yixin, Wang Hongbo. OPTIMIZATION DESIGN OF COMBUSTION CHAMBER CONFIGURATION PARAMETERS FOR SCRAMJET ENGINES BASED ON SURROGATE MODELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(11): 3359-3370. DOI: 10.6052/0459-1879-24-297
    [2]Yu Mingyu, Luo Guangqian, Yao Hong. A STUDY ON EMISSION CHARACTERISTICS OF NH3/DME FLAMES IN A FUEL STAGING COMBUSTOR[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(12): 2741-2749. DOI: 10.6052/0459-1879-23-324
    [3]Shi Wen, Tian Ye, Guo Mingming, Liu Yuan, Zhang Chenlin, Zhong Fuyu, Le Jialing. INVESTIGATION OF FLOW CHARACTERISTICS AND FLAME STABILIZATION IN AN ETHYLENE-FUELED SCRAMJET COMBUSTOR[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(3): 612-621. DOI: 10.6052/0459-1879-21-353
    [4]Fei Li Xilong Yu Hongbin Gu Zhi Li Lihong Chen Xinyu Zhang. Measurement of flow parameters in a scramjet combustor based on near-infrared absorption[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1061-1067. DOI: 10.6052/0459-1879-2011-6-lxxb2010-729
    [5]Zhanfeng Ying, Baochun Fan, Zhihua ChenJ, ingfang Ye. Evolutions of flame around a cylinder suspended in a chamber[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 842-849. DOI: 10.6052/0459-1879-2009-6-2008-433
    [6]Yu Pan, Weidong Liu, Jianhan Liang, Zhenguo Wang. On the ignition process in a model scramjet combustor[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(4): 455-462. DOI: 10.6052/0459-1879-2009-4-2009-142
    [7]Xiaochuan Zheng, Shusheng Yuan, Jian Zhang, Hongtao Zhang, Lixing Zhou. Experimental study on particle-laden turbulent reacting flow in a combustor with staged air injection[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(2): 202-209. DOI: 10.6052/0459-1879-2007-2-2005-545
    [8]Yingwen Yan, Jianxing Zhao, Jingyong Zhang, Yong Liu. Sub-grid scale combustion models for two-phase combustion flow in an annular combustor[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 776-784. DOI: 10.6052/0459-1879-2006-6-2005-040
    [9]MODELING OF BITUMINOUS COAL AND LEAN COAL COMBUSTION IN A COMBUSTOR OF CO-FLOWING JETS WITH LARGE VELOCITY DIFFERENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(3): 276-284. DOI: 10.6052/0459-1879-1990-3-1995-945
    [10]NUMERICAL MODELING OF THREE-DIMENSIONAL TURBULENT RECIRCULATING GAS-PARTICLE FLOWS IN A COMBUSTOR OF CO-FLOW JETS WITH LARGE VELOCITY DIFFERENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(1): 28-34. DOI: 10.6052/0459-1879-1990-1-1995-907

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (944) PDF downloads (140) Cited by()
    Related

    Download Center

    Author Center

      Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

      Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

      Tel：010-62536271

      Email：lxxb@cstam.org.cn

      Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

      /

      DownLoad:  Full-Size Img  PowerPoint
      Return
      Return