Contents: 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001

2004, 14

Konstantin I. Matveev

Vortex-acoustic instability in chambers with mean flow and heat release

language: English

received 30.09.2004, published 18.10.2004

Download article (PDF, 200 kb, ZIP), use browser command "Save Target As..."
To read this document you need Adobe Acrobat © Reader software, which is simple to use and available at no cost. Use version 4.0 or higher. You can download software from Adobe site (


Acoustic instability appearing in chambers with isothermal or reacting mean flow is an important engineering problem. The subject of this work is the instability that is coupled with vortex shedding and impingement, which can also be accompanied by heat release. A reduced-order theory is formulated that includes the chamber acoustics, vortex-structure interaction, and unsteady heat addition. Assuming that acoustic sources are localized in space and time, the kicked oscillator concept is applied. Model results are compared with experimental data. Possible applications for flow control are discussed.

15 pages, 8 figures

Сitation: Konstantin I. Matveev. Vortex-acoustic instability in chambers with mean flow and heat release. Electronic Journal “Technical Acoustics”,, 2004, 14.


1 Raushenbakh, B. V. Vibratory Combustion. Fizmatgiz, Moscow, 1961.
2 Harrje, D. T., Reardon, F. H. Liquid propellant rocket combustion instability. NASA SP-194, 1972.
3 Natanzon, M. S. Combustion Instability. Mashinostroenie, Moscow, 1986.
4 Flandro, G. A. Vortex driving mechanism in oscillatory rocket flows. J. Propulsion and Power, 1986, 2, 206–214.
5 Culick, F. E. C. Combustion instabilities in liquid-fuelled propulsion systems – an overview. AGARD-CP-450, 1988.
6 Dotson, K. W., Koshigoe, S., Pace, K. K. Vortex shedding in a large solid rocket motor without inhibitors at the segment interfaces. J. Propulsion and Power, 1997, 13, 197–206.
7 Rossiter, J. E. Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. Aeronautical Research Council, Report and Memorandum, No. 3438, 1964.
8 Bruggeman, J. C., Hirschberg, A., van Dongen, M. E. H., Wijnands, A. P. J., Gorter, J. Flow induced pulsations in gas transport systems: analysis of the influence of closed side branches. J. Fluids Eng., 1989, 111, 484–491.
9 Hourigan, K., Welsh, M. C., Thompson, M. C., and Stokes, A. N. Aerodynamic sources of acoustic resonance in a duct with baffles. J. Fluids and Structures, 1990, 4, 345–370.
10 Matveev, K. I., and Culick, F. E. C. A model for combustion instability involving vortex shedding. Combust. Sci. and Tech., 2003, 175, 1059–1083.
11 Matveev, K. I. Reduced-order modeling of vortex-driven excitation of acoustic modes. Acoust. Res. Let. Online. In press.
12 Culick, F. E. C. Nonlinear behavior of acoustic waves in combustion chambers. Acta Astronautica, 1976, 3, 714–757.
13 Howe, M. S. Acoustics of Fluid-Structure Interactions. Cambridge University Press, Cambridge, 1998.
14 Andronov, A. A., Vitt, A. A., and Khaikin, S. E. Theory of Oscillators. Dover Publications, New York, 1987.
15 Landau, L. D., Lifshitz, E. M. Mechanics. Pergamon Press, Oxford, 1996.
16 Clements, R. R. An inviscid model of two-dimensional vortex shedding. J. Fluid Mech., 1973, 57, 321–336.
17 Castro, J. P. Vortex shedding from a ring in oscillatory flow. J. Wind Eng. Ind. Aerodyn., 1997, 71, 387–398.
18 Huang, X. Y., Weaver, D. S. On the active control of shear layer oscillations across a cavity in the presence of pipeline acoustic resonance. J. Fluids Struct., 1991, 5, 207–219.
19 Smith, D. A. An Experimental Study of Acoustically Excited, Vortex Driven, Combustion Instability within a Rearward Facing Step Combustor. Ph. D. dissertation, Caltech, Pasadena, CA, 1985.
20 Sterling, J. D., Zukoski, E. E. Nonlinear dynamics of laboratory combustor pressure oscillations. Combust. Sci. and Tech., 1991, 77, 225–238.
21 Nelson, P. A., Halliwell, N. A., and Doak, P. E. Fluid dynamics of a flow excited resonance, Part I: experiment. J. Sound Vibr., 1981, 78, 15–38.
22 Mast, T. D., Pierce, A. D. Describing-function theory for flow excitation of resonators.
J. Acoust. Soc. Am., 1995, 97(1), 163–172.
23 Mallick, S., Shock, R., Yakhot, V. Numerical simulation of the excitation of a Helmholtz resonator by a grazing flow. J. Acoust. Soc. Am., 2003, 114(4), 1833–1840.
24 Knoop, P., Culick, F. E. C., Zukoski, E. E. Extension of the stability of motions in a combustion chamber by nonlinear active control based on hysteresis. Combust. Sci. and Tech., 1997, 123, 363–376.


Konstantin I. Matveev - Ph.D. in Mechanical Engineering from California Institute of Technology in 2003. Dr. Matveev will continue his research career at Los Alamos National Laboratory. Research interests include thermal and nonlinear acoustics.

e-mail: matveev(at)