eprintid: 946 rev_number: 5 eprint_status: archive userid: 31 dir: disk0/00/00/09/46 datestamp: 2009-04-24 lastmod: 2016-04-20 06:36:12 status_changed: 2009-09-23 16:41:10 type: article metadata_visibility: show creators_name: Buckmaster, J. creators_name: Clavin, Paul creators_name: Liñán Martínez, Amable creators_name: Matalon, M. creators_name: Peters, N. creators_name: Sivashinsky, G. creators_name: Williams, F.A. title: Combustion theory and modeling rights: by-nc ispublished: pub subjects: quimica subjects: matematicas subjects: fisica full_text_status: public keywords: Activation energy; Approximation theory; Detonation; Elasticity; Ignition; Mathematical models; Numerical analysis; Parameter estimation; Combustion theory; Mathematical theories; Mathematical tools; Propellents; Combustion abstract: 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. date_type: published date: 2005-01 publication: Proceedings of the Combustion Institute volume: 30 number: 1 pagerange: 1-19 institution: Aeronauticos department: Motopropulsion refereed: TRUE issn: 1540-7489 official_url: http://www.sciencedirect.com/science/journal/15407489 citation: Buckmaster, J. and Clavin, Paul and Liñán Martínez, Amable and Matalon, M. and Peters, N. and Sivashinsky, G. and Williams, F.A. (2005). Combustion theory and modeling. "Proceedings of the Combustion Institute", v. 30 (n. 1); pp. 1-19. ISSN 1540-7489. document_url: https://oa.upm.es/946/1/LINAN_2005_03.pdf