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Original Articles

Chaotic oscillation in diffusion flame induced by radiative heat loss

, , &
Pages 479-493 | Received 23 Dec 2009, Accepted 01 May 2010, Published online: 31 Aug 2010

References

  • Daw , C. S. , Thomas , J. F. , Richards , G. A. and Narayanaswami , L. L. 1995 . Chaos in thermal pulse combustion . Chaos , 5 : 662 – 670 .
  • Datta , S. , Mondal , S. , Mukhopadhyay , A. , Sanyal , D. and Sen , S. 2009 . An investigation of nonlinear dynamics of a thermal pulse combustor . Combust. Theory Model. , 13 : 17 – 38 .
  • Ng , H. D. , Higgins , A. J. , Kiyanda , C. B. , Radulescu , M. I. , Lee , J. H. S. , Bates , K. R. and Nikiforakis , N. 2005 . Numerical investigation of the instability for one-dimensional pulsating detonations . Combust. Theory Model. , 9 : 159 – 170 .
  • Beck , J. M. and Volpert , V. A. 2003 . Nonlinear dynamics in a simple model of solid flame microstructure . Physica D , 182 : 86 – 102 .
  • Cheatham , S. and Matalon , M. 1996 . Heat loss and Lewis number effects on the onset of oscillations in diffusion flames . Proc. Combust. Inst. , 26 : 1063 – 1070 .
  • Sohn , C. H. , Chung , S. H. and Kim , J. S. 1999 . Instability-induced extinction of diffusion flames established in the stagnant mixing layer . Combust. Flame , 117 : 404 – 412 .
  • Sohn , C. H. , Kim , J. S. , Chung , S. H. and Maruta , K. 2000 . Nonlinear evolution of diffusion flame oscillations triggered by radiative heat loss . Combust. Flame , 123 : 95 – 106 .
  • Miklavčič , M. 2007 . Period doubling cascade in diffusion flames . Combust. Theory Model. , 11 : 103 – 112 .
  • Bronze , G. and Hussain , F. 1994 . Nonlinear dynamics of forced transitional jets–periodic and chaotic attractors . J. Fluid Mech. , 263 : 93 – 132 .
  • Dong , Y. F. , Wei , Z. L. and Xu , C. 1997 . Transition of separated shear layer from order to chaos . Phys. Fluids , 9 ( 9 ) : 2580 – 2584 .
  • Koizumi , H. 2002 . Laminar turbulent transition behavior of fully developed air flow in a heated horizontal cylinder affected by a flat ceiling . Int. J. Heat Mass Transfer , 45 : 937 – 949 .
  • Wang , S. F. , Mosdorf , R. and Shoji , M. 2003 . Nonlinear analysis on fluctuation feature of two-phase flow through a T-junction . Int. J. Heat Mass Transfer , 46 : 1519 – 1528 .
  • Nakabayashi , K. , Sha , W. and Tsuchida , Y. 2005 . Relaminarization phenomena and external-disturbance effects in spherical Couette flow . J. Fluid Mech. , 534 : 327 – 350 .
  • Gotoda , H. and Ueda , T. 2005 . Orbital instability and prediction of a Bunsen flame tip with burner rotation . Combust. Flame , 140 : 287 – 298 .
  • Gotoda , H. , Asano , Y. , Chuah , K. H. and Kushida , G. 2009 . Nonlinear analysis on dynamic behavior of buoyancy-induced flame oscillation under swirling flow . Int. J. Heat Mass Transfer , 52 : 5423 – 5432 .
  • Fraser , A. M. and Swinney , H. L. 1986 . Independent coordinates for strange attractors from mutual information . Phys. Rev. A , 33 : 1134 – 1140 .
  • Wayland , R. , Bromley , D. , Pickett , D. and Passamante , A. 1993 . Recognizing determinism in a time-series . Phys. Rev. Lett. , 70 : 580 – 582 .
  • Kaplan , D. T. and Glass , L. 1993 . Coarse-grained embeddings of time series–Random-walks, Gaussian random-process, and deterministic chaos . Physica D , 64 : 431 – 454 .
  • Bandat , C. and Pompe , B. 2002 . Permutation entropy: A natural complexity measure for time series . Phys. Rev. Lett. , 88 : 174102
  • Miyano , T. , Munetoh , S. , Moriguchi , K. and Shintani , A. 2001 . Dynamical instability of the motion of atoms in a silicon crystal . Phys. Rev. E , 64 : 016202
  • Miyano , T. , Moriya , T. , Nagaike , H. , Ikeuchi , N. and Matsumoto , T. 2008 . Dynamical properties of acoustic emission by anomalous discharge in plasma processing system . J. Phys. D , 41 : 035209
  • Gotoda , H. , Miyano , T. and Shepherd , I. G. 2010 . Dynamic properties of unstable motion of swirling premixed flames generated by a change in gravitational orientation . Phys. Rev. E , 81 : 026211
  • Peters , N. 2000 . Turbulent Combustion , Cambridge : Cambridge University Press .
  • Miklavčič , M. , Moore , A. B. and Wichman , I. S. 2005 . Oscillation and island evolution in radiating diffusion flame . Combust. Theory Model. , 9 : 403 – 416 .
  • Takens , F. 1981 . Dynamical systems of turbulence , New York : Springer . Lecture Notes in Mathematics 898
  • Miyano , T. 1996 . Time series analysis of complex dynamical behavior contaminated with observational noise . Int. J. Bifurcation Chaos , 6 : 2031 – 2045 .
  • Feigenbaum , M. J. 1979 . Universal metric properties of non-linear transformation . J. Stat. Phys. , 21 : 669 – 706 .
  • Strogatz , S. H. 1994 . Nonlinear dynamics and chaos , Cambridge, MA : Perseus Publishing .

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