Effects due to shear flow on the diffusive-thermal instability of premixed gas flames
Authors:
Y. Kortsarts, I. Kliakhandler, L. Shtilman and G. I. Sivashinsky
Journal:
Quart. Appl. Math. 56 (1998), 401-412
MSC:
Primary 80A25
DOI:
https://doi.org/10.1090/qam/1637028
MathSciNet review:
MR1637028
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Abstract: The diffusively unstable premixed gas flame is shown to be strongly affected by the background shear flow tangent to the flame interface. The pertinent flame-flow interaction alters both the flame stability limits and the character of its nonlinear evolution. The shear flow may expand the limits of the flame’s diffusive instability simultaneously inducing new nonlinear saturation and linear dispersion effects similar to those occurring in KdV systems.
- A. Bayliss and B. J. Matkowsky, Two routes to chaos in condensed phase combustion, SIAM J. Appl. Math. 50 (1990), no. 2, 437–459. MR 1043595, DOI https://doi.org/10.1137/0150026
- B. J. Matkowsky and G. I. Sivashinsky, An asymptotic derivation of two models in flame theory associated with the constant density approximation, SIAM J. Appl. Math. 37 (1979), no. 3, 686–699. MR 549149, DOI https://doi.org/10.1137/0137051
D. M. Michelson and G. I. Sivashinsky, On irregular wavy flow of a liquid film down a vertical plane, Prog. Theor. Phys. 63, 2112–2114 (1980)
G. I. Sivashinsky, On self-turbulization of a laminar flame, Acta Astronautica 6, 569–591 (1979)
G. I. Sivashinsky, On the intrinsic dynamics of premixed flames, Proc. Roy. Soc. London A332, 135–148 (1990)
G. I. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Roy. Soc. London A219, No. 1137, 186–203 (1953)
F. A. Williams, Combustion Theory, The Benjamin/Cummings Publishing Co., New York, 1985
A. Bayliss and B. J. Matkowsky, Two routes to chaos in condensed phase combustion, SIAM J. Appl. Math. 50, 437–459 (1990)
B. J. Matkowsky and G. I. Sivashinsky, An asymptotic derivation of two models in flame theory associated with the constant density approximation, SIAM J. Appl. Math. 37, 686–699 (1979)
D. M. Michelson and G. I. Sivashinsky, On irregular wavy flow of a liquid film down a vertical plane, Prog. Theor. Phys. 63, 2112–2114 (1980)
G. I. Sivashinsky, On self-turbulization of a laminar flame, Acta Astronautica 6, 569–591 (1979)
G. I. Sivashinsky, On the intrinsic dynamics of premixed flames, Proc. Roy. Soc. London A332, 135–148 (1990)
G. I. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Roy. Soc. London A219, No. 1137, 186–203 (1953)
F. A. Williams, Combustion Theory, The Benjamin/Cummings Publishing Co., New York, 1985
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Article copyright:
© Copyright 1998
American Mathematical Society
