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Original Articles

Nonlinear dynamics of flame in a narrow channel with a temperature gradient

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Pages 187-203 | Received 15 Nov 2005, Accepted 05 Feb 2006, Published online: 21 Dec 2010

References

  • Fernandez-Pello , A. C. Micropower generation using combustion: issues and approaches . Proceedings of the Combustion Institute, 29th Symposium on Combustion . Vol. 29 , pp. 883 – 899 .
  • Vican , J. , Gajdeczko , B. F. , Dryer , F. M. , Milius , D. L. , Aksay , I. A. and Yetter , R. A. 2002 . Development of a microreactor as a thermal source for microelectromechanical systems power generation . Proceedings of the Combustion Institute , 29 : 909 – 916 .
  • Ahn , J. , Eastwood , C. , Sitzki , L. and Ronney , P. D. 2004 . Gas phase and catalytic combustion in heat-recirculating burners . Proceedings of the Combustion Institute , 30 : 2463 [CROSSREF]
  • Norton , D. G. and Vlachosm , D. G. 2003 . Combustion characteristics and flame stability at the microscale: a CFD study of premixed methane/air mixtures . Chemical Engineering Science , 58 : 4871 – 4882 . [CSA] [CROSSREF]
  • Maruta , K. , Kataoka , T. , Nam , Il Kim. , Minaev , S. and Fursenko , R. 2005 . Characteristics of combustion in a narrow channel with a temperature gradient . Proceedings of the Combustion Institute , 30 : 2429 – 2436 . [CSA] [CROSSREF]
  • Fateev , G. A. , Rabinovich , O. S. and Silenkov , M. A. 1998 . Oscillatory combustion of a gas mixture blown through a porous medium or a narrow tube . Proceedings Combustion Institute , 27 : 3147 – 3153 . [CSA]
  • Brailovsky , I. , Cheskis , S. and Sivashinsky , G. 1996 . Dynamical aspects of pulsed flames . Combustion Science Technology , 118 : 49 – 62 . [CSA]
  • Spalding , D. B. 1957 . A theory of inflammability limits and flame-quenching . Proceedings of the Royal Society of London , A240 : 83 – 100 . Series L.[CSA]
  • Zeldovich , Y. B. and Barenblatt , G. I. 1959 . Theory of flame propagation . Combustion and Flame , 3 : 61 – 74 . [CSA] [CROSSREF]
  • Zamashchikov , V. V. and Minaev , S. S. 2001 . Limits of flame propagation in a narrow channel with gas filtration . Combustion, Explosion and Shock Waves , 37 : 21 [CSA] [CROSSREF]
  • Ju , Yi and Bo , Xu . 2005 . Theoretical and experimental studies on mesoscale flame propagation and extinction . Proceedings of the Combustion Institute , 30 : 2445 [CSA] [CROSSREF]
  • Maruta , K. , Park , J. K. , Oh , K. C. , Fujimori , T. , Minaev , S. and Fursenko , R. 2004 . Characteristics of microscale combustion in a narrow heated channel . Combustion, Explosion and Shock Waves , 40 : 516 – 523 . [CSA] [CROSSREF]
  • Andronov , A. A. and Witt , A. 1930 . Sur la theorie mathematiques des autooscillations . Comptes Rendus de l'Académie des Science Paris , 190 : 256 – 258 . [CSA]
  • Ruelle , D. and Takens , F. 1971 . On the nature of turbulence . Communications in Mathematical Physics , 20 : 167 – 192 . [CSA] [CROSSREF]
  • 23 343 – 344 . [CSA]
  • Marsden , J. E. and McCracken , M. 1976 . The Hopf Bifurcation and its Applications , New York : Springer-Verlag .
  • Reissig , R. , Sansone , G. and Conti , R. 1963 . Qualitative Theorie Nichtlinearer Differentialgleichungen , Rome : Edizioni Cremonese .

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