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Combustion Science and Technology Volume 61, 1988 - Issue 4-6
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Original Articles

A Nonlinear Model for Ducted Flame Combustion Instabilities

THIERRY POINSOT E. M2.C Lab., CNRS, Ecole Cenrrale des Arts er Manufactures, 92295, ChBtenay-Malabry, Cedex, France
&
SEBASTIEN M. CANDEL E. M2.C Lab., CNRS, Ecole Cenrrale des Arts er Manufactures, 92295, ChBtenay-Malabry, Cedex, France
Pages 121-153 | Received 23 Jun 1987, Accepted 07 Jun 1988, Published online: 26 Apr 2007

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Vijaya Krishna Rani & Sarma L. Rani. (2018) Development of a comprehensive flame transfer function and its application to predict combustion instabilities in a dump combustor. Combustion Science and Technology 190:8, pages 1313-1353.
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Ashwin Kannan, Balaji Chellappan & Satyanarayanan Chakravarthy. (2016) Flame-acoustic coupling of combustion instability in a non-premixed backward-facing step combustor: the role of acoustic-Reynolds stress. Combustion Theory and Modelling 20:4, pages 658-682.
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C. Schrödinger, C. O. Paschereit & M. Oevermann. (2014) Numerical Studies on the Impact of Equivalence Ratio Oscillations on Lean Premixed Flame Characteristics and Emissions. Combustion Science and Technology 186:10-11, pages 1392-1409.
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Vishal Acharya, Benjamin Emerson, Ulises Mondragon, Dong-Hyuk Shin, Christopher Brown, Vincent McDonell & Timothy Lieuwen. (2013) Velocity and Flame Wrinkling Characteristics of a Transversely Forced, Bluff-Body Stabilized Flame, Part II: Flame Response Modeling and Comparison with Measurements. Combustion Science and Technology 185:7, pages 1077-1097.
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DANNING YOU, YING HUANG & VIGOR YANG. (2005) A GENERALIZED MODEL OF ACOUSTIC RESPONSE OF TURBULENT PREMIXED FLAME AND ITS APPLICATION TO GAS-TURBINE COMBUSTION INSTABILITY ANALYSIS. Combustion Science and Technology 177:5-6, pages 1109-1150.
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C.J. LAWN & W. POLIFKE. (2004) A MODEL FOR THE THERMOACOUSTIC RESPONSE OF A PREMIXED SWIRL BURNER, PART II: THE FLAME RESPONSE. Combustion Science and Technology 176:8, pages 1359-1390.
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JAMES D. STERLING. (1993) Nonlinear Analysis and Modelling of Combustion Instabilities in a Laboratory Combustor. Combustion Science and Technology 89:1-4, pages 167-179.
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T. POINSOT, T. ECHEKKI & M. G. MUNGAL. (1992) A Study of the Laminar Flame Tip and Implications for Premixed Turbulent Combustion. Combustion Science and Technology 81:1-3, pages 45-73.
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Arnau Pons, Swanand V. Sardeshmukh & William E. Anderson. (2021) Analytical and numerical solution of the pressure response to an unsteady heat release pulse in 1D. Combustion and Flame 226, pages 505-522.
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De Ashoke, Kushari Abhijit, K. Sudharsan & Konreddy GeethaSri. (2016) Numerical Investigation of Flow Acoustic Coupling in a Half-Dump Combustor. Journal of Propulsion and Power 32:1, pages 95-107.
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Vijaya Krishna Rani & Sarma Rani. (2015) Development and Analysis of a Novel Two-Dimensional Flame Transfer Function<!--EndFragment-->. Development and Analysis of a Novel Two-Dimensional Flame Transfer Function<!--EndFragment-->.
Michael Oevermann, Christina Schrödinger & Christian O. Paschereit. 2015. Active Flow and Combustion Control 2014. Active Flow and Combustion Control 2014 213 227 .
Karthik Kashinath, Iain C. Waugh & Matthew P. Juniper. (2014) Nonlinear self-excited thermoacoustic oscillations of a ducted premixed flame: bifurcations and routes to chaos. Journal of Fluid Mechanics 761, pages 399-430.
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Luke Humphrey, Vishal Acharya, Dong-Hyuk Shin & Tim Lieuwen. (2014) Coordinate Systems and Integration Limits for Global Flame Transfer Function Calculations. International Journal of Spray and Combustion Dynamics 6:4, pages 411-416.
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Chellappan Balaji, Ashwin Kannan, Ramgopal Sampath & Satyanarayanan Chakravarthy. 2014. Novel Combustion Concepts for Sustainable Energy Development. Novel Combustion Concepts for Sustainable Energy Development 363 377 .
Karthik Kashinath, Santosh Hemchandra & Matthew P. Juniper. (2013) Nonlinear Phenomena in Thermoacoustic Systems With Premixed Flames. Journal of Engineering for Gas Turbines and Power 135:6.
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Matthew E. Harvazinski, William E. Anderson & Charles L. Merkle. (2013) Analysis of Self-Excited Combustion Instabilities Using Two- and Three-Dimensional Simulations. Journal of Propulsion and Power 29:2, pages 396-409.
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Dan Zhao. (2012) Transient growth of flow disturbances in triggering a Rijke tube combustion instability. Combustion and Flame 159:6, pages 2126-2137.
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Matthew Harvazinski, Guoping Xia, William Anderson & Charles Merkle. (2012) Analysis of Self-Excited Combustion Instability using a Combination of Two- and Three-Dimensional Simulations. Analysis of Self-Excited Combustion Instability using a Combination of Two- and Three-Dimensional Simulations.
Sébastien Ducruix, Thierry Schuller, Daniel Durox & Sébastien Candel. 2010. Handbook of Combustion. Handbook of Combustion.
JU HYEONG CHO. (2009) Analysis of low-frequency wave scattering by turbulent premixed flame. Journal of Fluid Mechanics 634, pages 137.
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Ying Huang & Vigor Yang. (2009) Dynamics and stability of lean-premixed swirl-stabilized combustion. Progress in Energy and Combustion Science 35:4, pages 293-364.
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N. NOIRAY, D. DUROX, T. SCHULLER & S. CANDEL. (2008) A unified framework for nonlinear combustion instability analysis based on the flame describing function. Journal of Fluid Mechanics 615, pages 139-167.
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Preetham Preetham, Santosh Hemchandra & Tim Lieuwen. (2008) Forced Response of Premixed Flames: Effect of Flow Non-uniformity. Forced Response of Premixed Flames: Effect of Flow Non-uniformity.
Santosh H. Preetham & Tim C. Lieuwen. (2007) Response of turbulent premixed flames to harmonic acoustic forcing. Proceedings of the Combustion Institute 31:1, pages 1427-1434.
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A.L. Birbaud, D. Durox, S. Ducruix & S. Candel. (2007) Dynamics of confined premixed flames submitted to upstream acoustic modulations. Proceedings of the Combustion Institute 31:1, pages 1257-1265.
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Timothy C. Lieuwen & Vigor Yang. 2006. Combustion Instabilities In Gas Turbine Engines. Combustion Instabilities In Gas Turbine Engines 315 366 .
S. Roux, G. Lartigue, T. Poinsot, U. Meier & C. Bérat. (2005) Studies of mean and unsteady flow in a swirled combustor using experiments, acoustic analysis, and large eddy simulations. Combustion and Flame 141:1-2, pages 40-54.
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C.J. Lawn, T.C. Williams & R.W. Schefer. (2005) The response of turbulent premixed flames to normal acoustic excitation. Proceedings of the Combustion Institute 30:2, pages 1749-1756.
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Preetham Preetham & Satyanarayanan Chakravarthy. (2004) Response of One-Dimensional Laminar Premixed Flame Propagation to Traveling Pressure Oscillations. Response of One-Dimensional Laminar Premixed Flame Propagation to Traveling Pressure Oscillations.
T. Lieuwen. (2003) Modeling Premixed Combustion-Acoustic Wave Interactions: A Review. Journal of Propulsion and Power 19:5, pages 765-781.
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Sébastien Candel. (2002) Combustion dynamics and control: Progress and challenges. Proceedings of the Combustion Institute 29:1, pages 1-28.
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O. Colin, F. Ducros, D. Veynante & T. Poinsot. (2000) A thickened flame model for large eddy simulations of turbulent premixed combustion. Physics of Fluids 12:7, pages 1843-1863.
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N. PeakeD. G. Crighton. (2000) Active Control of Sound. Annual Review of Fluid Mechanics 32:1, pages 137-164.
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C.J. Lawn. (2000) Thermo-acoustic frequency selection by swirled premixed flames. Proceedings of the Combustion Institute 28:1, pages 823-830.
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Denis Thibaut & Sebastien Candel. (1998) Numerical Study of Unsteady Turbulent Premixed Combustion: Application to Flashback Simulation. Combustion and Flame 113:1-2, pages 53-65.
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S. Candel, C. Huynh & T. Poinsot. 1996. Unsteady Combustion. Unsteady Combustion 83 112 .
T.J Poinsot & S.K Lelef. (1992) Boundary conditions for direct simulations of compressible viscous flows. Journal of Computational Physics 101:1, pages 104-129.
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Sébastien M. Candel. (1992) Combustion instabilities coupled by pressure waves and their active control. Symposium (International) on Combustion 24:1, pages 1277-1296.
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J. GORE & I. MINIS. (1990) Acoustically modulated free jet flames. Acoustically modulated free jet flames.

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