Nonlinear analysis of hydrodynamic instability in laminar flames-II. Numerical experiments

D. M. Michelson; G. I. Sivashinsky

doi:10.1016/0094-5765(77)90097-2

Nonlinear analysis of hydrodynamic instability in laminar flames-II. Numerical experiments

D. M. Michelson^*, G. I. Sivashinsky

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a nonstationary nonlinear integrodifferential equation describing the evolution of a disturbed plane flame front. The following two-dimensional problems are solved numerically: (i) The formation of a wrinkled noncellular laminar flame front under conditions of spontaneous hydrodynamic instability. (ii) The formation of a turbulent cellular flame front under conditions of spontaneous diffusional-thermal instability. (iii) The formation of a turbulent wrinkled-cellular flame front under conditions of spontaneous hydrodynamic and diffusional-thermal instability. We compute the flame front velocity in laminar and turbulent propagation.

Original language	English
Pages (from-to)	1207-1221
Number of pages	15
Journal	Acta Astronautica
Volume	4
Issue number	11-12
DOIs	https://doi.org/10.1016/0094-5765(77)90097-2
State	Published - 1977

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abstract = "We consider a nonstationary nonlinear integrodifferential equation describing the evolution of a disturbed plane flame front. The following two-dimensional problems are solved numerically: (i) The formation of a wrinkled noncellular laminar flame front under conditions of spontaneous hydrodynamic instability. (ii) The formation of a turbulent cellular flame front under conditions of spontaneous diffusional-thermal instability. (iii) The formation of a turbulent wrinkled-cellular flame front under conditions of spontaneous hydrodynamic and diffusional-thermal instability. We compute the flame front velocity in laminar and turbulent propagation.",

author = "Michelson, {D. M.} and Sivashinsky, {G. I.}",

note = "Funding Information: research was supported in part by the National Science Foundation Grant",

year = "1977",

doi = "10.1016/0094-5765(77)90097-2",

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AU - Sivashinsky, G. I.

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PY - 1977

Y1 - 1977

N2 - We consider a nonstationary nonlinear integrodifferential equation describing the evolution of a disturbed plane flame front. The following two-dimensional problems are solved numerically: (i) The formation of a wrinkled noncellular laminar flame front under conditions of spontaneous hydrodynamic instability. (ii) The formation of a turbulent cellular flame front under conditions of spontaneous diffusional-thermal instability. (iii) The formation of a turbulent wrinkled-cellular flame front under conditions of spontaneous hydrodynamic and diffusional-thermal instability. We compute the flame front velocity in laminar and turbulent propagation.

AB - We consider a nonstationary nonlinear integrodifferential equation describing the evolution of a disturbed plane flame front. The following two-dimensional problems are solved numerically: (i) The formation of a wrinkled noncellular laminar flame front under conditions of spontaneous hydrodynamic instability. (ii) The formation of a turbulent cellular flame front under conditions of spontaneous diffusional-thermal instability. (iii) The formation of a turbulent wrinkled-cellular flame front under conditions of spontaneous hydrodynamic and diffusional-thermal instability. We compute the flame front velocity in laminar and turbulent propagation.

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Nonlinear analysis of hydrodynamic instability in laminar flames-II. Numerical experiments

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