Nonlinear Analysis and Modelling of Combustion Instabilities in a Laboratory Combustor

References

• Barr , P. K. , Keller , J. O. , Bramlette , T. T. , Westbrook , C. K. and Dec , J. E. ( 1990 ). “ Pulse Combustor Modeling Demonstration of the Importance of Characteristic Times, ” Combustion and Flame , Vol 82 , pp. 252 – 269 .
   Web of Science ®Google Scholar
• Crocco , L. and Cheng , S. I. ( 1956 ). Theory of Combustion Instability in Liquid Propellant Rocket Motors. AGARDOGRAPH, No.8, Butterworths Scientific Publications , London .
   Google Scholar
• Culick , F. E. C. ( 1976 ). “ Nonlinear Behavior of Acoustic Waves in Combustion Chambers, ” Combustion Science and Technology , Vol. 15 . pp. 95 – 97 .
   Google Scholar
• Culick , F. E. C. ( 1987 ), “ A Note on Rayleigh's Criterion, ” Combustion Science and Technology , Vol. 56 , pp. 159 – 166 .
   Web of Science ®Google Scholar
• Culick , F. E. C. ( 1988 ). “ Combustion Instabilities in Liquid-Fueled Propulsion Systems, ” Paper Number 1, AGARD Conference Proceedings No. 450 .
   Google Scholar
• Culick , F. E. C. ( 1990 ). “ Some Recent Results for Nonlinear Acoustics in Combustion Chambers, ” AIAA 13th Aeroacoustics Conference, AIAA Paper 90-3927 .
   Google Scholar
• Gershenfeld , N. ( 1988 ). “ An Experimentalist's Introduction to the Observation of Dynamical Systems, ” chapter in Directions in Chaos, Vol 2. , Hac Bailin (Ed.), World Scientific Press , Singapore .
   Google Scholar
• Harrje , D. J. and Reardon , F. H. (Ed.) ( 1972 ). Liquid Propellant Rocket Instability , NASA SP-194 .
   Google Scholar
• Keanini , R. G. , Yu , K. and Daily , J. ( 1989 ). “ A Strange Attractor in Ramjet Combustion, ” AIAA 27th Aerospace Sciences Meeting .
   Google Scholar
• Langhorne , P. J. , Dowling , A. P. , and Hooper , N. ( 1990 ). “ Practical Active Control System for Combustion Oscillations, ” J. Propulsion and Power , Vol. 6 , pp. 324 – 333 .
   Web of Science ®Google Scholar
• Menon , S. and Jou , W. H. ( 1990 ). “ Large-Eddy Simulations of Combustion Instability in an Axisymmetric Ramjet Combustor, ” AIAA 28th Aerospace Sciences Meeting, AIAA Paper 90-0267 .
   Google Scholar
• Poinsot , T and Candel , S. M. ( 1988 ). “ A Nonlinear Model for Dueted Flame Combustion Instabilities, ” Combustion Science and Technology , Vol. 61 , pp. 121 – 153 .
   Web of Science ®Google Scholar
• Poinsot , T. J. , Trouve , A. C. , Veynante , D. P. , Candel , S. M. , and Esposito , E. J. ( 1987 ). “ Vortex-Driven Acoustically Coupled Combustion Instabilities, ” J. Fluid Mechanics , Vol. 177 , pp. 265 – 292 .
   Web of Science ®Google Scholar
• Lord Rayleigh ( 1878 ). The Theory of Sound . Dover Publications , New York ( 1945 ), Vol. II , p. 227 .
   Google Scholar
• Shyy , W. and Udaykumar , H. ( 1990 ). “ Numerical Simulation of Thermo-Acoustic Effect on Longitudinal Combustion Instabilities, ” AIAA 26th Joint Propulsion Conference, AIAA Paper 90-2065 .
   Google Scholar
• Sterling , J. D. ( 1987 ), “ Longitudinal Mode Combustion Instabilities in Air Breathing Engines, ” Ph.D. Thesis , California Institute of Technology .
   Google Scholar
• Sterling , J. D. ( 1990 ). “ Characterization of the Nonlinear Dynamics of Experimental Signals: Distinguishing Between Noise and Chaos, ” Caltech Series on Active Control of Combustion Instabilities, Document C190.2 .
   Google Scholar
• Sterling , J. D. and Zukoski , E. E. ( 1991 ). “ Nonlinear Dynamics of Laboratory Combustor Pressure Oscillations, ” Combustion Science and Technology , Vol. 77 , No. 4–6 , p. 225 .
   Web of Science ®Google Scholar
• Westbrook , C. K. ( 1985 ). “ Successive Reignition of Fuel-Air Mixtures and Pulse Combustion, ” Fall Meeting of the Western States Section of the Combustion Institute, 1985 .
   Google Scholar
• Yang , v. , Kim , S. I. and Culick , F. E. C. ( 1990 ). “ Triggering of Longitudinal Pressure Oscillations in Combustion Chambers, I: Nonlinear Gasdynamics. ” Combustion Science and Technology , Vol 72 , pp. 183 – 214 .
   Web of Science ®Google Scholar