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The Effect of Strain Rate on Diffusion Flames

Carrier, G. F. and Fendell, F. E. and Marble, F. E. (1975) The Effect of Strain Rate on Diffusion Flames. SIAM Journal on Applied Mathematics, 28 (2). pp. 463-500. ISSN 0036-1399. doi:10.1137/0128038.

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Several steady state and time-dependent solutions to the compressible conservation laws describing direct one-step near-equilibrium irreversible exothermic burning of initially unmixed gaseous reactants, with Lewis-Semenov number unity, are presented. The quantitative investigation first establishes the Burke-Schumann thin-flame solution using the Shvab-Zeldovich formulation. Real flames do not have the indefinitely thin reaction zone associated with the Burke-Schumann solution. Singular perturbation analysis is used to provide a modification of the thin-flame solution which includes a more realistic reaction zone of small but finite thickness. The particular geometry emphasized is the un bounded counterflow such that there exists a spatially constant rate of strain along the flame. While the solutions for diffusion flames under a finite tangential strain rate may be of interest in and of themselves for laminar flow, the problems are motivated by the authors' belief that they are pertinent to the study of diffusion-flame burning in transitional and turbulent shear flows.

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Additional Information:© 1975 Society for Industrial and Applied Mathematics. Received by the editors March 19, 1974. This work was supported in part by: Project SQUID, supported by the Office of Naval Research, Department of the Navy, under Contract N00014-67-A-0226-0005, NR-098-038 (F.E.F.); Office of Naval Research Contract N00014-67-A-0298-0033 and National Science Foundation Contract NSF-GP-34723 (G.F.C.). Presented by invitation at an International Symposium on Modern Developments in Fluid Dynamics in Honor of the 70th Birthday of Sydney Goldstein held at Haifa, Israel, December 16-23, 1973. The authors are very grateful to Dr. J. Eugene Broadwell of TRW Systems, Redondo Beach, California, for advice, criticism and encouragement.
Group:Guggenheim Jet Propulsion Center
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-67-A-0226-0005
Office of Naval Research (ONR)NR-098-038
Office of Naval Research (ONR)N00014-67-A-0298-0033
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Guggenheim Jet Propulsion CenterUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20101216-133642630
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Official Citation:The Effect of Strain Rate on Diffusion Flames G. F. Carrier, F. E. Fendell, F. E. Marble SIAM Journal on Applied Mathematics, Vol. 28, No. 2 (Mar., 1975), pp. 463-500
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21405
Deposited By: Ruth Sustaita
Deposited On:17 Dec 2010 16:24
Last Modified:09 Nov 2021 15:56

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