Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-28T06:33:06.802Z Has data issue: false hasContentIssue false
  • English
  • Français

Experimental sensitivity analysis and control of thermoacoustic systems

Published online by Cambridge University Press:  16 December 2015

Georgios Rigas ,
Nicholas P. Jamieson ,
Larry K. B. Li  and
Matthew P. Juniper
Georgios Rigas*
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
Nicholas P. Jamieson
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
Larry K. B. Li
Affiliation:
Department of Mechanical and Aerospace Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Matthew P. Juniper
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, we report the results of an experimental sensitivity analysis on a thermoacoustic system – an electrically heated Rijke tube. We measure the change of the linear stability characteristics of the system, quantified as shifts in the growth rate and oscillation frequency, that is caused by the introduction of a passive control device. The control device is a mesh, which causes drag in the system. The rate of growth is slow, so the growth rate and frequency can be measured very accurately over many hundreds of cycles in the linear regime with and without control. These measurements agree qualitatively well with the theoretical predictions from adjoint-based methods of Magri & Juniper (J. Fluid Mech., vol. 719, 2013, pp. 183–202). This agreement supports the use of adjoint methods for the development and implementation of control strategies for more complex thermoacoustic systems.

JFM classification

Acoustics: Acoustics Flow Control: Flow Control Flow Control: Instability control
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 787 , 25 January 2016 , R1
Check for updates
Copyright
© 2015 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Candel, S. M. 2002 Combustion dynamics and control: progress and challenges. Proc. Combust. Inst. 29, 1–28.CrossRefGoogle Scholar
Crocco, L., Mitchell, C. E. & Sirignano, W. A. 1969 Nonlinear longitudinal instability in rocket motors with concentrated combustion. Combust. Sci. Technol. 1, 33–64.CrossRefGoogle Scholar
Culick, F. E. C.1988 Combustion instabilities in liquid-fuelled propulsion systems. Tech. Rep. 430.Google Scholar
Dowling, A. P. & Morgans, A. S. 2005 Feedback control of combustion oscillations. Annu. Rev. Fluid Mech. 37 (1), 151–182.CrossRefGoogle Scholar
Juniper, M. P. 2011 Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition. J. Fluid Mech. 667, 272–308.CrossRefGoogle Scholar
Katto, Y. & Sajiki, A. 1977 Onset of oscillation of a gas-column in a tube due to the existence of heat-conduction field: a problem of generating mechanical energy from heat. Bull. JSME 20 (147), 1161–1168.CrossRefGoogle Scholar
Lieuwen, T. C. & Yang, V. 2005 Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms and Modeling. AIAA.Google Scholar
Luchini, P. & Bottaro, A. 2014 Adjoint equations in stability analysis. Annu. Rev. Fluid Mech. 46 (1), 493–517.CrossRefGoogle Scholar
Magri, L. & Juniper, M. P. 2013 Sensitivity analysis of a time-delayed thermo-acoustic system via an adjoint-based approach. J. Fluid Mech. 719, 183–202.CrossRefGoogle Scholar
Magri, L. & Juniper, M. P. 2014a Adjoint-based linear analysis in reduced-order thermo-acoustic models. Intl J. Spray. Combust. 6 (3), 225–246.CrossRefGoogle Scholar
Magri, L. & Juniper, M. P. 2014b Global modes, receptivity, and sensitivity analysis of diffusion flames coupled with duct acoustics. J. Fluid Mech. 752, 237–265.CrossRefGoogle Scholar
Mariappan, S.2011 Theoretical and experimental investigation of the non-normal nature of thermoacoustic interactions. PhD thesis, Indian Institute of Technology, Madras.CrossRefGoogle Scholar
Matveev, K.2003 Thermoacoustic instabilities in the Rijke tube: experiments and modeling. PhD thesis, California Institute of Technology.Google Scholar
McManus, K. R., Poinsot, T. & Candel, S. M. 1993 A review of active control of combustion instabilities. Prog. Energy Combust. Sci. 19, 1–29.CrossRefGoogle Scholar
Provansal, M., Mathis, C. & Boyer, L. 1987 Bénard–von Kármán instability: transient and forced regimes. J. Fluid Mech. 182, 1–22.CrossRefGoogle Scholar
Raun, R. L., Beckstead, M. W., Finlinson, J. C. & Brooks, K. P. 1993 A review of Rijke tubes, Rijke burners and related devices. Prog. Energy Combust. 19, 313–364.Google Scholar
Rayleigh, J. W. S. 1878 The explanation of certain acoustical phenomena. Nature 18, 319–321.CrossRefGoogle Scholar
Rienstra, S. W. & Hirschberg, A. 2006 An Introduction to Acoustics. Rep. IWDE 92-06. Eindhoven University of Technology.Google Scholar
Rijke, P. L. 1859 On the vibration of the air in a tube open at both ends. Phil. Mag. 17, 419–422.CrossRefGoogle Scholar
Saito, T. 1965 Vibrations of air-columns excited by heat supply. Japan Soc. Mech. Engng 8 (32), 651–659.Google Scholar
Schmid, P. J. & Brandt, L. 2014 Analysis of fluid systems: stability, receptivity, sensitivity. Appl. Mech. Rev. 66 (2), 1–21.CrossRefGoogle Scholar
Schumm, M., Berger, E. & Monkewitz, P. A. 1994 Self-excited oscillations in the wake of two-dimensional bluff bodies and their control. J. Fluid Mech. 271, 17–53.CrossRefGoogle Scholar
Sipp, D., Marquet, O., Meliga, P. & Barbagallo, A. 2010 Dynamics and control of global instabilities in open-flows: a linearized approach. Appl. Mech. Rev. 63 (3), 030801.CrossRefGoogle Scholar
Sreenivasan, K. R., Raghu, S. & Chu, B. T.1985 The control of pressure oscillations in combustion and fluid dynamical systems. AIAA Paper 85-0540.Google Scholar
Subramanian, P., Sujith, R. I. & Wahi, P. 2013 Subcritical bifurcation and bistability in thermoacoustic systems. J Fluid Mech. 715, 210–238.CrossRefGoogle Scholar