Numerical Analysis on Instability of Cylindrical Flames

References

• Barenblatt . G. I. , Zeldovich , Y. B. and Istratov , A. G. ( 1962 ), On Diffusional-Thermal Stability of a Laminar Flame . Zh. Prikl. Mekh. Tekh. Fiz. , 4 , 21 .
   Google Scholar
• Darrieus , G. ( 1938 )- Propagation d'un Front de Flamme . Unpublished works presented at La Technique Moderne .
   Google Scholar
• Frankel , M. L. and Sivashinsky , G. I. ( 1982 ). Combust. Sci. Technol;. , 29 , 207 .
   Web of Science ®Google Scholar
• Joulin . G. and Mitani , T. ( 1981 ). Combust. Flame , 40 , 235 .
   Web of Science ®Google Scholar
• Kadowaki , S. ( 1990 ). Numerical Simulation of Hydrodynamic Flame Stability . Trans. Japan. Soc. Mech. Engr. , 56 – 517 , 2104 .
   Google Scholar
• Kadowaki , S. and Tsuge , S. ( 1985 ). On the Critical Stability of a Plane Flame with a Preheat Zone of Finite Thickness . Trans. Japan Soc. Aero. Space Sci. , 28 - 80 , 108 .
   Google Scholar
• Landau , L. D. ( 1944 ). On the Theory of Slow Combustion . Acta Physicochim (USSR ), 19 , 77 .
   Google Scholar
• MacCormack , R. W. and Baldwin , B. S. ( 1975 ). A Numerical Method for Solving the Navier-Stokes Equations with Application to Shock-Boundary Layer Interactions . AIAA paper 75 – 1 .
   Google Scholar
• Matalon , M. and Matkowsky , B. J. ( 1982 ). J. Fluid Mech. , 124 , 239 .
   Web of Science ®Google Scholar
• Matalon , M. and Matkowsky , B. J. ( 1984 ). SIAM J. Appl. Math. , 44 , 327 .
   Web of Science ®Google Scholar
• Matkowsky , B. J. , Putnick. L. J. and Sivashinsky , G. I. ( 1980 ). SIAM J. Appl. Math. , 38 , 489 .
   Web of Science ®Google Scholar
• Mitani , T. , Niioka.T. ( 1983 ). Asymptotic Analysis for Combustion Phenomena . J.Japan Soc. Aero. Space Sci. , 31 – 348 , 14 .
   Google Scholar
• Patnaik , G. , Kailasanath , K. , Laskey , K.J. and Oran , E. S. ( 1988 ). Detailed Numerical Simulations of Cellular Flames . Twenty-Second Symposium (International) on Combustion . The Combustion Institute , Pittsburgh , PA , p. 1517 .
   Google Scholar
• Pelce , P. and Clavin , P. ( 1982 ). J. Fluid Mech. , 124 , 219 .
   Web of Science ®Google Scholar
• Sivashinsky , G. I. ( 1977 ). Combust. Sci. Technol. , 15 , 137 .
   Web of Science ®Google Scholar
• Sivashinsky , G. I. ( 1979 ). Acta Astronautica , 6 , 569 .
   Web of Science ®Google Scholar