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Original Articles

Some Issues of Using Markstein Number for Modeling Premixed Turbulent Combustion

Pages 131-154 | Received 27 Sep 1995, Accepted 24 May 1996, Published online: 06 Apr 2007

References

  • Abdel‐Gayed , R. G. , Bradley , D. and Lau , A. K. C. ( 1987 ) Turbulent burning velocities: a general correlation in terms of straining rates. Proc Royal Soc, London A , 4v14, 389.
  • Ali , Y. , Bradley , D. , Lawes , M. and Mushi , E. M. ( 1993 ) Problems of the measurement of Markstein lengths with explosion flames, Proc. of the Anglo‐German Combustion Symp. , British Section of the Combustion Institute, Cambridge , 404 – 407 .
  • Andrews , G. E. and Bradley , D. ( 1972 ) The burning velocity of methane‐air mixtures. Combust. Flame , 19 , 275 .
  • Betev , A. , Karpov , V. P. and Zaitsev , V. ( 1990 ) Ignition and flammability limits with controlled parameters of discharge source. Archivum Combustionis , 10 , 147 .
  • Bradley , D. , Lau , A. K. C. and Lawes , M. ( 1992 ) Flame stretch rate as a determinant of turbulent burning velocity. Phil. Trans. Royal Soc. London A , 338 , 359 .
  • Bradley , D. , Gaskell , P. H. and Gu , X.J. ( 1996 ) Burning velocities, Markstein lengths, and flame quenching for spherical methane‐air flames: a computational study. Combust. Flame , 104 , 176 .
  • Bray , K. N. C. ( 1987 ) Methods of including realistic chemical reaction mechanisms in turbulent combustion models. In Warnatz , J. and Jager , W. (Eds) Complex chemical reaction systems. , Springer, Berlin , 356 – 375 .
  • Bray , K. N. C. and Cant , R. S. ( 1991 ) Some applications of kolmogorov's turbulence research in the field of combustion. Proc. Royal Soc. London A , 434 , 217 .
  • Bray , K. N. C. and Peters , N. ( 1994 ) Laminar flamelets in turbulent flames. In Libby , P. A. and Williams , F. A. (Eds) Turbulent Reacting Flows , 2 , Springer, New York , Chap. 2, 63 – 114 .
  • Buckmaster , J. D. ( 1979 ) The quenching of two‐dimensional premixed flames. Acta Astro‐nautica , 6 , 741 .
  • Candel , S. M. and Poinsot , T. J , ( 1990 ) Flame stretch and balance equation for the flame area. Combust. Sci. Tech. , 70 , 1 .
  • Chung , S. H. and Law , C. K. ( 1984 ) An invariant derivation of flame stretch. Combust. Flame , 55 , 123 .
  • Clavin , P. ( 1985 ) Dynamical behavior of premixed flame fronts in laminar and turbulent flows. Progr. Energy Combust. Sci. , 11 , 1 .
  • Clavin , P. and Joulin , G. ( 1989 ) Flamelet library for turbulent wrinkled flames. In Borghi , R. and Murthy , S. N. B. (Eds) Turbulent Reactive Flows. Lecture Notes in Engineering. , Springer, New York , 213 – 240 .
  • Dowdy , D. R. , Smith , D. B. , Taylor , S. C. and Williams , A. ( 1990 ) The use of expanding spherical flames to determine burning velocities and stretch effects in hydrogen/air mixtures. In Twenty‐Third Symposium (Int.) on Combustion, The Combustion Institute, Pittsburgh , 325 – 331 .
  • Frankel , M. L. and Sivashinsky , G. I. ( 1983 ) On effects due to thermal expansion and Lewis number in spherical flame propagation. Combust. Sci. Tech. , 31 , 131 .
  • Karpov , V. P. and Lipatnikov , A. N. ( 1994 ) Premixed turbulent combustion and thermodiffu‐sional effects in laminar flames. In Merzhanov , A. G. and Frolov , S. M. (Eds.) Proc. of the Zel'dovich Memorial, September , 12 – 17 , Moscow , Russian Section of the Combustion Institute, 168 – 180 .
  • Keller , D. and Peters , N. ( 1994 ) Transient pressure effects in the evolution equation for premixed flame fronts. Theor. Comput. Fluid Dynamics , 6 , 141 .
  • Kostiuk , L. W. and Bray , K. N. C. ( 1994 ) Mean effects of stretch on laminar flamelets in a premixed turbulent flame. Combust. Sci. Tech. , 95 , 193 .
  • Kwon , S. , Tseng , L. ‐K. and Faeth , G. M. ( 1992 ) Laminar burning velocities and transition to unstable flames in H2/O2/N2 and C3H8/O2/N2 mixtures. Combust. Flame , 90 , 230 .
  • Markstein , G. H. ( 1951 ) Experimental and theoretical studies of flame‐front stability. J. Aeronaut. Sci. , 18 , 199 .
  • Matalon , M. ( 1983 ) On flame stretch. Combust. Sci. Tech. , 31 , 169 .
  • Matalon , M. and Matkowsky , B. J. ( 1982 ) Flames as gas dynamic discontinuities. J. Fluid Mech. , 124 , 239 .
  • Peters , N. ( 1986 ) Laminar flamelet concepts in turbulent combustion. , Twenty‐First Symposium (International) on Combustion, The Combustion Institute, Pittsburgh , 1231 – 1250 ,
  • Poinsot , T. , Veynante , D. and Candel , S. ( 1991 ) Quenching processes and premixed turbulent combustion diagrams. J. Fluid Mech. , 228 , 561 .
  • Tien , J. H. and Matalon , M. ( 1991 ) On the burning velocity of stretched flames. Combust. Flame , 84 , 238 .
  • Tseng , L. ‐K., Ismail , L. A. and Faeth , G. M. ( 1993 ) Laminar burning velocities and Markstein numbers of hydrocarbon/air flames. Combust. Flame , 95 , 410 .
  • Worrell , J. K. , Taylor , S. C , Robinson , C. and Smith , D. B. ( 1993 ) The use of detailed computer modelling to test burning velocity and Markstein length measurement using expanding spherical flames. , Proc. of the Anglo‐German Combustion Symp. British Section of the Combustion Institute, Cambridge , 364 – 367 .
  • Zel'dovich , Ya. B. , Barenblatt , G. I. , Librovich , V. B. and Makhviladze , G. M. ( 1985 ) The Mathematical Theory of Combustion and Explosions , Plenum Publ. Corp., New York .

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