Abstract
This article provides a review of modeling methods for combustion instability studies. After a presentation of classical material the paper focuses on modern methods. The survey concerns models of flame front dynamics, LES simulations, hydrodynamic instability studies of reactive flows, vortex ignition studies and nonlinear acoustic models for dynamical simulations.
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References
Awad, E. and Culick, F. E. C. (1986). Existence and stability of limit cycles for longitudinal acoustic waves in a combustion chamber. Combustion Science and Technology 46, 169–181.
Barrère, M., Jaumotte, A., Fraeijis de Veubeke, B. and Vandenkerckhove, J. (1960). Rocket propulsion. Amsterdam: Elsevier.
Barrère, M. and Williams, F. A. (1968). Comparison of combustion instabilities found in various types of combustion chambers. In Eleventh Symposium (International) on Combustion. Pittsburgh: The Combustion Institute, 169–181.
Baum, H. R., Corley, D. M. and Rehm, R. G. (1986). Time dependent simulation of small scale turbulent mixing and reaction. In Twenty first Symposium (International) on Combustion. Pittsburgh: The Combustion Institute, 1263–1270.
Baum, J. D. and Levine, J. N. (1982). Numerical techniques for solving nonlinear instability problems in solid rocket motors. AIAA Journal 20, 955–961.
Billoud, G., Huynh, C., Galland, M. and Candel, S. (1992). Adaptive active control of combustion instabilities. Combustion Science and Technology 81, 257.
Blackshear, P. L. (1956). Growth of disturbances in a flame generated shear region. NACA Report 1360,
Candel, S. (1992). Combustion instabilities coupled by pressure waves and their active control. In 24th Symposium (International) on Combustion. Pittsburgh: The Combustion Institute, 1277–1296.
Clavin, P., Pelc, P. and He, L. (1990). One-dimensional vibratory instability of planar flames propagating in tubes. Journal of Fluid Mechanics 216, 299–322.
Clavin, P. and Sun, J. (1991). Theory of acoustic instabilities of planar flames propagating in sprays or particle-laden gases. Combustion Science and Technology 78, 265–288.
Crocco, L. (1951). Aspects of combustion instability in liquid propellant rocket motors. Journal of the American Rocket Society 21, 163.
Crocco, L. (1965). Theoretical studies on liquid-propellant rocket instability. In Tenth Symposium (International) on Combustion. Pittsburgh: The Combustion Institute, 1101–1128.
Crocco, L. and Cheng, S. L. (1956). Theory of combustion instability in liquid propellant rocket motors. AGARDOGRAPH N 8, Butterworths Science Publication.
Crocco, L., Grey, J. and Harrje, D. T. (1960). Theory of liquid propellant rocket combustion instability and its experimental verification. J. Aeronautical Research Journal 30, 159–168.
Crocco, L., Harrje, D. T., Sirignano, W. A. and al., e. (1968). Nonlinear aspects of combustion instability in liquid propellant rocket motors. NASA CR 72426,
Culick, F. E. C. (1976). Nonlinear behavior of acoustic waves in combustion chambers. Parts I and II. Acta Astronautica 3, 714–757.
Culick, F. E. C. (1988). Combustion instabilities in liquid-fueled propulsion systems-an overview. AGARD Conference on Combustion instabilities in liquid-fuelled propulsion systems
Ghoniem, A. F., Heidarinejad, G. and Krishan, A. (1987). Numerical simulation of a reacting shear layer using the transport element method.
Ghoniem, A. F. and Najm, H. N. (1989). Numerical simulation of the coupling between vorticity and pressure oscillations in combustion instability. AIAA Paper 89-2665,
Harrje, D.J. and Reardon, F. H. (1972). Liquid propellant rocket instability. NASA SP-194,
Huynh, C. (1993). PhD thesis, Ecole Centrale Paris, Chatenay-Malabry.
Jou, W. H. and Menon, S. (1987). Simulations of ramjet combustor flow fields. Part II. Origin of pressure oscillations.
Kailasanath, K., Gardner, J. H., Boris, J. P. and Oran, E. S. (1987). Numerical simulations of acoustic-vortex interactions in a central-dump combustor. Journal of Propulsion 3, 525–533.
Karagozian, A. R. and Marble, F. E. (1986). Study of a diffusion flame in a stretched vortex. Combustion Science and Technology 46, 65–84.
Koochesfahani, M. M. and Frieler, C. E. (1989). Instability of nonuniform density free shear layers with a wake profile. AIAA Journal 27, 1735–1740.
Kotake, S. (1975). On combustion noise related to chemical reactions. Journal of Sound and Vibration 42, 399–410.
Laverdant, A., Poinsot, T. and Candel, S. (1986). Influence of the mean temperature field on the acoustic mode structure in a dump combustor. Journal of Propulsion and Power 2, 311–316.
Leder, G. and Kapila, A. K. (1991). The response of premixed flames to pressure perturbations. Combustion Science and Technology 76, 21–44.
Macaraeg, M. G., Jacson, T. L. and Hussaini, M. Y. (1991). Ignition and structure of a laminar diffusion flame in the field of a vortex. ICASE 91–69, ICASE.
Mahalingam, S., Cantwell, B. J. and Ferziger, J. H. (1991). Stability of low-speed reacting flows. Physics of Fluids A 3, 1533–1543.
Mallard, E. E. and Le Chatelier, H. (1883). Recherches experimentales et thoriques sur la combustion de melanges gazeux explosifs. Annales des Mines, Partie Scientifique et Technique Ser. 8, no. 4, 274.
Marble, F. E. (1955). Servo-stabilization of low-frequency oscillations in liquid propellant rocket motors. ZAMP J. Applied Mathematics and Physics VI/1, 1–35.
Marble, F. E. (1985). Growth of a diffusion flame in the field of a vortex. In Recent advances in the aerospace sciences. Casci, E. New York: Plenum Press, 395–413.
Marble, F. E. and Candel, S. (1978). An analytical study of the nonsteady behavior of large combustors. In 17th Symposium(International) on Combustion. Pittsburgh: The Combustion Institute, 761–769.
Marble, F. E. and Cox, D. W. (1953). Servo-stabilization of low-frequency oscillations in a liquid bipropellant rocket motor. Journal of the American Rocket Society 23, 63–81.
Marble, F. E. and Hendricks, G. J. (1986). Structure and behavior of diffusion flames in a pressure gradient. In Twenty first Symposium (International) on Combustion. Pittsburgh: The Combustion Institute, 1321–1327.
Marble, F. E., Subbaiah, M. V. and Candel, S. (1979). Analysis of low frequency disturbances in afterburners. Proceedings of the AGARD Specialists Meeting on Combustion Modelling
Markstein, G. H. (1951). Experimental and theoretical studies of flame front stability. Journal of the Aeronautical Sciences Journal of Aeronautical Science 18, 199–209.
Markstein, G. H. and Somers, L. M. (1953). Cellular flame structure and vibratory flame movement in N-butane-methane mixtures. 527–535
Markstein, G. H. and Squire, W. (1955). On the stability of a plane flame front in oscillating flow. Journal of the Acoustical Society of America 27, 416–424.
McIntosh, A. C. (1986). The effect of upstream acoustic forcing and feedback on the stability and resonance of anchored flames. Combustion Science and Technology 49, 143–167.
McIntosh, A. C. (1991). Pressure disturbances of different length scales interacting with conventional flames.. Combustion Science and Technology 75, 287–309.
McIntosh, A. C. and Wilce, S. A. (1991). High frequency pressure wave interaction with premixed flames. Combustion Science and Technology 79, 141–155.
McManus, K., Poinsot, T. and Candel, S. (1993). A review of active control of combustion instability. Progress in Energy and Combustion Science 19, 1–29.
Menon, S. and Jou, W. H. (1987). Simulations of ramjet combustor flow fields; PartI. Numerical model, large scale and mean motions. AIAA Paper 87-1421,
Menon, S. and Jou, W. H. (1990). Numerical simulations of oscillatory cold flows in an axisymmetric ramjet. Journal of Propulsion and Power 6,
Menon, S. and Jou, W. H. (1991). Large-Eddy simulations of combustion instability in an axisymmetric ramjet combustor. Combustion Science and Technology 75, 53–72.
Najm, H. N. and Ghoniem, A. F. (1991). Modeling pulsating combustion due to flow-flame interactions in vortex-stabilized premixed flames. International Symposium on Pulsating Combustion
Phillips, O. M. (1960). On the generation of sound by supersonic turbulent shear layers. Journal of Fluid Mechanics 9, 1–28.
Poinsot, T. and Candel, S. (1988). A nonlinear model for ducted flame combustion instabilities. Combustion Science and Technology 61, 121–153.
Poinsot, T., Veynante, D. and Candel, S. (1991). Quenching processes and premixed turbulent combustion diagrams. Journal of Fluid Mechanics 228, 561–606.
Putnam, A. A. (1971). Combustion driven oscillations in industry. New York: Elsevier.
Putnam, A. A., Belles, F. E. and Kentfield, J. A. C. (1986). Pulse combustion. Progress in Energy and Combustion Science 12, 43–79.
Rayleigh, L. J. W. S. (1878). The explanation of certain acoustic phenomena. Nature 18, 319–321.
Samaniego, J. M. (1992). Etude des instabilites de combustion dans les statoreacteurs. Doctoral Thesis, Ecole Centrale Paris, Chatenay-Malabry.
Samaniego, J. M., Yip, B., Poinsot, T. and Candel, S. (1993). Low frequency combustion instability in a side dump combustor. Combustion and Flame 94, 363–380.
Searby, G. and Rochwerger, D. (1991). A parametric acoustic instability in premixed flames. Journal of Fluid Mechanics 231, 529–543.
Shin, D. and Ferziger, J. H. (1990). Linear stability of the reacting mixing layer. AIAA Paper 90-0268,
Smith, D. A. and Zukoski, E. E. (1985). Combustion instability sustained by unsteady vortex combustion. AIAA Paper 85-1248,
Strahle, W. C. (1971). On combustion generated noise. Journal of Fluid Mechanics 49, 399–414.
Subbaiah, M. V. (1983). Nonsteady flame spreading in two-dimensional ducts. AIAA Journal 11, 1557–1564.
Summerfield, M. (1951). A theory of unstable propulsion in liquid propellant rocket systems. American Rocket Society Journal 21, 108–114.
Thevenin, D. and Candel, S. (1991). Ignition dynamics of a diffusion flame rolled-up in a vortex. SIAM Conference on Numerical Combustion
Trouve, A., Candel, S. M. and Daily, J. W. (1988). Linear stability of the inlet jet in a ramjet dump combustor. AIAA Paper 88-0149,
Tsien, H. S. (1952). Servo-stabilization of combustion in rocket motors. American Rocket Society Journal 22, 256–263.
Williams, F. A. (1985). Combustion theory. Menlo Park: Benjamin/Cummings.
Yang, V. and Culick, F. E. C. (1984). Analysis of low frequency oscillations in a laboratory ramjet combustor. Combustion Science and Technology 45, 1–25.
Yang, V., Kim, S. I. and Culick, F. E. C. (1987). Third-order nonlinear acoustic inbstabilities in combustion chambers, Part I: longitudinal modes. AIAA Paper 87-1873,
Yang, V., Sinha, A. and Fung, Y. T. (1992). State-feedback control of longitudinal combustion instabilities. Journal of Propulsion 8, 66–73.
Yu, K., Trouve, A. and Candel, S. (1991). Combustion enhancement of a premixed flame by acoustic forcing with emphasis on role of large-scale vortical structures. AIAA Paper 91-0367.
Zinn, B. T. (1986). Pulsating combustion. In Advanced combustion methods. Weinberg, F. J. New York: Academic Press,
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Candel, S., Huynh, C., Poinsot, T. (1996). Some Modeling Methods of Combustion Instabilities. In: Culick, F., Heitor, M.V., Whitelaw, J.H. (eds) Unsteady Combustion. NATO ASI Series, vol 306. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1620-3_5
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DOI: https://doi.org/10.1007/978-94-009-1620-3_5
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