39
Views
40
CrossRef citations to date
0
Altmetric
Original Articles

Rotating and Modulated Rotating States of Cellular Flames

, , &
Pages 25-35 | Received 26 Apr 1993, Accepted 10 Jan 1994, Published online: 27 Apr 2007

References

  • Bayliss , A. and Matkowsky , B. J. ( 1992 ). Nonlinear Dynamics of Cellular Flames , SIAM J. Appl. Math. , 52 , 396 .
  • Bayliss , A. , Malkowsky , B. J. and Riecke , H. ( 1993 ). Modulated Traveling Waves in Combustion, in Numerical Methods for PDE's with Critical Parameters , edited by H. Kaper and M. Garbey , Klower Academic Publishers, to appear.
  • Buckmaster , J. ( 1984 ). Polyhedral Flames—An Exercise in Bimodal Bifurcation Analysis , SIAM J. Appl. Math. , 44 , 40 .
  • el-Hamdi , M. , Gorman , M. and Robbins , K. A. ( 1993 ). Deterministic Chaos in Laminar Premixed Flames: Experimental Classification of Chaotic Dynamics , Comb. Sci. & Technol. , 94 , 83 .
  • Gorman , M , el-Hamdi , M. and Robbins , K. A. ( 1994 ). Hopping Motion in Ordered States of Cellular Flames , Comb. Sci. & Technol. , to appear.
  • Keener , J. P. and Tyson , J. J. ( 1986 ). Spiral Waves in the Belousov-Zhabotinskii Reaction , Physica , D 21 , 307 .
  • Margolis , S. B. and Sivashinsky , G. I , ( 1984 ). Flame Propagation in Vertical Channels: Bifurcation to Bimodal Cellular Flames , SIAM J. Appl. Math. , 44 , 344 .
  • Margolis , S. B. and Sivashinsky , G. I. ( 1990 ). On Spinning Propagation of Cellular Flames , Comb. Sci. and Technol. , 69 , 99 .
  • Markstein , G. H. , ed. ( 1964 ) Non-Steady Flame Propagation , Macmillan, NY .
  • Muller , S. C , Plesser , T. , and Hess , B. ( 1987 ). Two-dimensional Spectrophotometry of Spiral Wave Propagation in the Belousov-Zhabotinskii Reaction 1: Experiments and Digital Data Representation. Physica D , 24 , 71 .
  • Smithells , A. and Ingle , H. ( 1892 ). The Structure and Chemistry of Flames , J. Chem. Soc. , 61 , 204 .
  • Smith , F. A. and Pickering , S. F. ( 1929 ). Bunsen Flames of Unusual Structure , U.S. Bur. Standards J. Res. , 3 , 65 .
  • Winfree , A. T. ( 1972 ) Spiral Waves of Chemical Activity, Science , 175 , 634 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.