Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium

Ashraf N. Al-Khateeb; Joseph M. Powers; Samuel Paolucci

doi:10.1080/13647830.2012.724180

Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium

Ashraf N. Al-Khateeb, Joseph M. Powers, Samuel Paolucci

Aerospace Engineering

University of Notre Dame

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

7 Scopus citations

Abstract

The interplay between chemistry and transport is addressed by exploring the coupling between the spatial and temporal scales of one-dimensional laminar premixed combustion in reactive mixtures described by detailed chemical kinetics and multicomponent transport. System dynamics are investigated in the neighbourhood of the equilibrium state; in so doing, the time scales associated with modes of varying wavelength for the complete unsteady, spatially inhomogeneous system are obtained. The results reveal that short wavelength modes are dominated by diffusion-based time scales, and long wavelength modes are dominated by reaction-based time scales. The analysis further identifies critical wavelengths where the effects of reaction and diffusion are balanced, and it is seen that the critical wavelengths are well estimated by classical diffusion theory.

Original language	British English
Pages (from-to)	76-108
Number of pages	33
Journal	Combustion Theory and Modelling
Volume	17
Issue number	1
DOIs	https://doi.org/10.1080/13647830.2012.724180
State	Published - Feb 2013

Keywords

detailed kinetics
laminar flames
length and time scales
reaction-diffusion
stability

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10.1080/13647830.2012.724180

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title = "Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium",

abstract = "The interplay between chemistry and transport is addressed by exploring the coupling between the spatial and temporal scales of one-dimensional laminar premixed combustion in reactive mixtures described by detailed chemical kinetics and multicomponent transport. System dynamics are investigated in the neighbourhood of the equilibrium state; in so doing, the time scales associated with modes of varying wavelength for the complete unsteady, spatially inhomogeneous system are obtained. The results reveal that short wavelength modes are dominated by diffusion-based time scales, and long wavelength modes are dominated by reaction-based time scales. The analysis further identifies critical wavelengths where the effects of reaction and diffusion are balanced, and it is seen that the critical wavelengths are well estimated by classical diffusion theory.",

keywords = "detailed kinetics, laminar flames, length and time scales, reaction-diffusion, stability",

author = "Al-Khateeb, {Ashraf N.} and Powers, {Joseph M.} and Samuel Paolucci",

note = "Funding Information: The authors recognise the support of the National Science Foundation (NSF) under CBET -0650843, and the Center for Applied Mathematics at University of Notre Dame.",

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AU - Al-Khateeb, Ashraf N.

AU - Powers, Joseph M.

AU - Paolucci, Samuel

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AB - The interplay between chemistry and transport is addressed by exploring the coupling between the spatial and temporal scales of one-dimensional laminar premixed combustion in reactive mixtures described by detailed chemical kinetics and multicomponent transport. System dynamics are investigated in the neighbourhood of the equilibrium state; in so doing, the time scales associated with modes of varying wavelength for the complete unsteady, spatially inhomogeneous system are obtained. The results reveal that short wavelength modes are dominated by diffusion-based time scales, and long wavelength modes are dominated by reaction-based time scales. The analysis further identifies critical wavelengths where the effects of reaction and diffusion are balanced, and it is seen that the critical wavelengths are well estimated by classical diffusion theory.

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KW - length and time scales

KW - reaction-diffusion

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Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium

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Keywords

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