Combustion theory and modeling

J. Buckmaster, P. Clavin, A. Liñán, M. Matalon, N. Peters, G. Sivashinsky, F. A. Williams*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


In honor of the fiftieth anniversary of the Combustion Institute, we are asked to assess accomplishments of theory in combustion over the past fifty years and prospects for the future. The title of our article is chosen to emphasize that development of theory necessarily goes hand-in-hand with specification of a model. Good conceptual models underlie successful mathematical theories. Models and theories are discussed here for deflagrations, detonations, diffusion flames, ignition, propellant combustion, and turbulent combustion. In many of these areas, the genesis of mathematical theories occurred during the past fifty years, and in all of them significant advances are anticipated in the future. Increasing interaction between theory and computation will aid this progress. We hope that, although certainly not complete in topical coverage or reference citation, the presentation may suggest useful directions for future research in combustion theory.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalProceedings of the Combustion Institute
Issue number1
StatePublished - 2005
Event30th International Symposium on Combustion - Chicago, IL, United States
Duration: 25 Jul 200430 Jul 2004


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