Dynamic Behavior of Buoyancy-Induced Flame Oscillation Under Swirling Flow by a Use of Nonlinear Time Series Analysis in Combination with Surrogate Data Method

REFERENCES

• Cetegen , B.M. , and Dong , Y. 2000 . Experiments on the instability modes of buoyant diffusion flames and effects of ambient atmosphere on the instabilities . Experiments in Fluids , 28 , 546 .
   Web of Science ®Google Scholar
• Cha , J.M. , and Sohrab , S.H. 1996 . Stabilization of premixed flames on rotating Bunsen burners . Combustion and Flame , 106 , 467 .
   Web of Science ®Google Scholar
• Chen , L.D. , Scaba , J.P. , Roquemore , W.M. , and Goss , L.P. 1989 . Buoyant diffusion flames . Proceedings of the Combustion Institute , 22 , 677 .
   Google Scholar
• Chuah , K.H. , Gotoda , H. , and Kushida , G. 2008 . Numerical simulations of methane diffusion flame with burner rotation . In Saito , K. (Ed.) Progress in Scale Modeling , Springer-Verlag , New York , pp. 211 – 222 .
   Google Scholar
• Chuah , K.H. , and Kushida , G. 2007 . The prediction of flame heights and flame shapes of small fire whirls . Proceedings of the Combustion Institute , 31 , 2599 .
   Web of Science ®Google Scholar
• Datta , S. , Mondal , S. , Mukhopadhyay , A. , Sanyal , D. , and Sen , S. 2009 . An investigation of nonlinear dynamics of a thermal pulse combustor . Combustion Theory and Modeling , 13 , 17 .
   Web of Science ®Google Scholar
• Daw , C.S. , Thomas , J.F. , Richards , G.A. , and Narayanaswami , L.L. 1995 . Chaos in thermal pulse combustion . Chaos , 5 , 662 .
   PubMed Web of Science ®Google Scholar
• Durox , D. , Yuan , T. , Baillot , F. , and Most , J.M. 1995 . Premixed and diffusion flames in a centrifuge . Combustion and Flame , 102 , 511 .
   Web of Science ®Google Scholar
• Durox , D. , Yuan , T. , and Villermaux , E. 1997 . The effect of buoyancy on flickering in diffusion flames . Combustion Science and Technology , 124 , 277 .
   Web of Science ®Google Scholar
• Fichera , A. , Losenno , C. , and Pagano , A. 2001 . Experimental analysis of thermo-acoustic combustion instability . Applied Energy , 70 , 179 .
   Web of Science ®Google Scholar
• Fraser , A.M. , and Swinney , H.L. 1986 . Independent coordinates for strange attractors from mutual information . Physical Review A , 33 , 1134 .
   PubMed Web of Science ®Google Scholar
• Ghoniem , A.F. , Lakkis , L. , and Soteriou , M. 1996 . Numerical simulation of the dynamics of large fire plumes and the phenomenon of puffing . Proceedings of the Combustion Institute , 27 , 1531 .
   Google Scholar
• Gotoda , H. , Asano , Y. , Chuah , K.H. , and Kushida , G. 2009. Nonlinear analysis on dynamic behavior of buoyancy-induced flame oscillation under swirling flow. International Journal of Heat and Mass Transfer , 52, 5423.
   Web of Science ®Google Scholar
• Gotoda , H. , Kawaguchi , S. , and Saso , Y. 2008 . Experiments on dynamical motion of buoyancy-induced flame instability under different oxygen concentration . Experimental Thermal and Fluid Science , 32 , 1759 .
   Web of Science ®Google Scholar
• Gotoda , H. , Maeda , K. , Ueda , T. , and Cheng , R.K. 2003 . Periodic motion of a Bunsen flame tip with burner rotation . Combustion and Flame , 134 , 67 .
   Web of Science ®Google Scholar
• Gotoda , H. , and Ueda , T. 2002 . Transition from periodic to non-periodic motion of a Bunsen-type premixed flame tip with burner rotation . Proceedings of the Combustion Institute , 29 , 1503 .
   Web of Science ®Google Scholar
• Gotoda , H. , and Ueda , T. 2005 . Orbital instability and prediction of a Bunsen flame tip motion with burner rotation . Combustion and Flame , 140 , 287 .
   Web of Science ®Google Scholar
• Gotoda , H. , Ueda , T. , Shepherd , I.G. , and Cheng , R.K. 2007 . Flame flickering frequency on a rotating Bunsen burner . Chemical Engineering Science , 62 , 1753 .
   Web of Science ®Google Scholar
• Grassberger , P. , and Procaccia , I. 1983a . Measuring the strangeness of strange attractors . Physica D , 9 , 189 .
   Web of Science ®Google Scholar
• Grassberger , P. , and Procaccia , I. 1983b . Characterization of strange attractors . Physical Review Letters , 50 , 346 .
   Web of Science ®Google Scholar
• Huang , R.F. , and Yen , S.C. 2008 . Aerodynamic characteristics and thermal structure of nonpremixed reacting swirling wakes at low Reynolds numbers . Combustion and Flame , 155 , 539 .
   Web of Science ®Google Scholar
• Ishizuka , S. 2002 . Flame propagation along a vortex axis . Progress in Energy and Combustion Science , 28 , 477 .
   Web of Science ®Google Scholar
• Kadowaki , S. , and Ohkura , N. 2009 . Time series analysis on the emission of light from methane-air lean premixed flames: Diagnostics of the flame instability . Transactions of the Japan Society for Aeronautical and Space Science , 51 , 133 .
   Web of Science ®Google Scholar
• Kaplan , D.T. , and Glass , L. 1993 . Coarse-grained embeddings of time series: random walks, Gaussian random processes, and deterministic chaos . Physica D , 64 , 431 .
   Web of Science ®Google Scholar
• Katta , V.R. , and Roquemore , W.M. 1993 . Role of inner and outer structures in transitional jet diffusion flame . Combustion and Flame , 92 , 274 .
   Web of Science ®Google Scholar
• Min , J. , and Baillot , F. 2008 . Effect of CO2 addition on the stability and the flickering of non-premixed methane/air flames . 19th International Symposium on Transport Phenomena , 17–20 August 2008 , Reykjavik , Iceland .
   Google Scholar
• Miyano , T. 1996 . Time series analysis of complex dynamical behavior contaminated with observational noise . International Journal of Bifurcation and Chaos , 6 , 2031 .
   Web of Science ®Google Scholar
• Miyano , T. , Moriya , T. , Nagaike , H. , Ikeuchi , N. , and Matsumoto , T. 2008 . Dynamical properties of acoustic emission by anomalous discharge in plasma processing system . Journal of Physics D , 41 , 035209 .
   Web of Science ®Google Scholar
• Miyano , T. , Munetoh , S. , Moriguchi , K. , and Shintani , A. 2001 . Dynamical instability of the motion of atoms in a silicon crystal . Physical Review E , 64 , 016202 .
   Web of Science ®Google Scholar
• Osborne , A.R. , and Provenzale , A. 1989 . Finite correlation dimension for stochastic systems with power-law spectra . Physica D , 35 , 357 .
   Web of Science ®Google Scholar
• Ruelle , D. 1989 . Deterministic chaos: The science and the fiction . Proceedings of the Royal Society of London A , 427 , 241 .
   Google Scholar
• Sato , H. , Kushida , G. , Amagai , K. , and Arai , M. 2002 . Numerical analysis of the gravitational effect on the buoyancy-driven fluctuations in diffusion flames . Proceedings of the Combustion Institute , 29 , 1671 .
   Web of Science ®Google Scholar
• Schreiber , T. , and Schmitz , A. 1996 . Improved surrogate data for nonlinearity tests . Physical Review Letters , 77 , 635 .
   PubMed Web of Science ®Google Scholar
• Sterling , J.D. 1993. Nonlinear analysis and modeling of combustion instabilities in a laboratory combustor. Combustion Science and Technology , 89, 167.
   Web of Science ®Google Scholar
• Sugihara , G. , and May , R.M. 1990 . Nonlinear forecasting as a way of distinguishing chaos from measurement error in time-series . Nature , 344 , 734 .
   PubMed Web of Science ®Google Scholar
• Takens , F. 1981 . Dynamical systems of turbulence . In Rand , D.A. and Young , L.S. (Eds.) Lecture Notes in Mathematics , Springer-Verlag , New York , Vol. 898 , p. 366 .
   Google Scholar
• Theiler , J.S. , Eubank , S. , Lonting , A. , Galdrikian , B. , and Farmer , J.D. 1992 . Testing for nonlinearly in time series: The method of surrogate data . Physica D , 58 , 77 .
   Web of Science ®Google Scholar
• Tsonis , A.A. , and Elsner , J.B. 1992 . Nonlinear prediction as a way of distinguishing chaos from random fractal sequences . Nature , 358 , 217 .
   Web of Science ®Google Scholar
• Wales , D.J. 1991 . Calculating the rate of loss of information from chaotic time-series by forecasting . Nature , 350 , 485 .
   Web of Science ®Google Scholar
• Wayland , R. , Bromley , D. , Pickett , D. , and Passamante , A. 1993 . Recognizing determinism in a time series . Physical Review Letters , 70 , 580 .
   PubMed Web of Science ®Google Scholar
• Yulmaz , N. , Lucero , R.E. , Donaldson , A.B. , and Gill , W. 2009 . Flow characterization of diffusion flame oscillations using particle image velocimetry . Experiments in Fluids , 46 , 737 .
   Web of Science ®Google Scholar