Reaction diffusion in fast steady flow

Basile Audoly; Henri Berestycki; Yves Pomeau

doi:10.1016/S1287-4620(00)00115-0

Reaction diffusion in fast steady flow

Basile Audoly
, Henri Berestycki
, Yves Pomeau

Centre national de la recherche scientifique

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

Abstract

This note is concerned with the speed of propagation of a chemical reaction in a fast, steady and nonuniform flow which may apply to flame propagation in some instances. The structure of the flow is: (1) a parallel shear flow with velocity perpendicular to the average front, where the flame speed is close to the maximum flow speed toward the fresh gases; (2) a periodic cellular structure where the speed of propagation of the reaction grows like the fourth root of the fluid speed.

Translated title of the contribution	Réaction diffusion en écoulement stationnaire rapide
Original language	English
Pages (from-to)	255-262
Number of pages	8
Journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie
Volume	328
Issue number	3
DOIs	https://doi.org/10.1016/S1287-4620(00)00115-0
Publication status	Published - 1 Jan 2000

Keywords

Flows
Reaction-diffusion
Turbulent combustion

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10.1016/S1287-4620(00)00115-0

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AU - Berestycki, Henri

AU - Pomeau, Yves

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N2 - This note is concerned with the speed of propagation of a chemical reaction in a fast, steady and nonuniform flow which may apply to flame propagation in some instances. The structure of the flow is: (1) a parallel shear flow with velocity perpendicular to the average front, where the flame speed is close to the maximum flow speed toward the fresh gases; (2) a periodic cellular structure where the speed of propagation of the reaction grows like the fourth root of the fluid speed.

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KW - Flows

KW - Reaction-diffusion

KW - Turbulent combustion

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DO - 10.1016/S1287-4620(00)00115-0

M3 - Article

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JO - Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie

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ER -

Reaction diffusion in fast steady flow

Abstract

Keywords

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