Parametrizing the burning speed enhancement by small-scale periodic flows: I. Unsteady shears, flame residence time and bending

B. Khouider, A. Bourlioux, A. J. Majda

Research output: Contribution to journalArticle

Abstract

We document and explain the existence of two distinct scaling regimes for the burning speed enhancement of an idealized premixed flame as a result of its distortion by an unsteady periodic shear. The simplified model used in the present study allows for a rigorous, quantitative explanation of the bending in the scaling exponent, either linear or sublinear in the shear intensity, in terms of a non-dimensional flame residence time which compares the intrinsic time-scale of the unsteady flow with time it takes the corresponding steady shear to fully distort a flame. It is the non-trivial dependence of this latter flame wrinkling time with respect to the shear intensity that leads to the scaling behaviour. A combination of asymptotic analysis and high-resolution numerical simulations is used to validate the enhancement parametrization of both standing- and travelling-wave solutions for the perturbed front.

Original languageEnglish (US)
Pages (from-to)295-318
Number of pages24
JournalCombustion Theory and Modelling
Volume5
Issue number3
DOIs
StatePublished - 2001

Fingerprint

Residence Time
Asymptotic analysis
Unsteady flow
Flame
flames
Enhancement
shear
augmentation
Computer simulation
scaling
Wrinkling
Premixed Flame
wrinkling
premixed flames
unsteady flow
Standing Wave
Scaling Exponent
Unsteady Flow
Scaling Behavior
Traveling Wave Solutions

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Fluid Flow and Transfer Processes
  • Physical and Theoretical Chemistry
  • Energy Engineering and Power Technology
  • Fuel Technology
  • Applied Mathematics

Cite this

Parametrizing the burning speed enhancement by small-scale periodic flows : I. Unsteady shears, flame residence time and bending. / Khouider, B.; Bourlioux, A.; Majda, A. J.

In: Combustion Theory and Modelling, Vol. 5, No. 3, 2001, p. 295-318.

Research output: Contribution to journalArticle

@article{1499a45ddfe4419d81b0e568d18d581b,
title = "Parametrizing the burning speed enhancement by small-scale periodic flows: I. Unsteady shears, flame residence time and bending",
abstract = "We document and explain the existence of two distinct scaling regimes for the burning speed enhancement of an idealized premixed flame as a result of its distortion by an unsteady periodic shear. The simplified model used in the present study allows for a rigorous, quantitative explanation of the bending in the scaling exponent, either linear or sublinear in the shear intensity, in terms of a non-dimensional flame residence time which compares the intrinsic time-scale of the unsteady flow with time it takes the corresponding steady shear to fully distort a flame. It is the non-trivial dependence of this latter flame wrinkling time with respect to the shear intensity that leads to the scaling behaviour. A combination of asymptotic analysis and high-resolution numerical simulations is used to validate the enhancement parametrization of both standing- and travelling-wave solutions for the perturbed front.",
author = "B. Khouider and A. Bourlioux and Majda, {A. J.}",
year = "2001",
doi = "10.1088/1364-7830/5/3/303",
language = "English (US)",
volume = "5",
pages = "295--318",
journal = "Combustion Theory and Modelling",
issn = "1364-7830",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

TY - JOUR

T1 - Parametrizing the burning speed enhancement by small-scale periodic flows

T2 - I. Unsteady shears, flame residence time and bending

AU - Khouider, B.

AU - Bourlioux, A.

AU - Majda, A. J.

PY - 2001

Y1 - 2001

N2 - We document and explain the existence of two distinct scaling regimes for the burning speed enhancement of an idealized premixed flame as a result of its distortion by an unsteady periodic shear. The simplified model used in the present study allows for a rigorous, quantitative explanation of the bending in the scaling exponent, either linear or sublinear in the shear intensity, in terms of a non-dimensional flame residence time which compares the intrinsic time-scale of the unsteady flow with time it takes the corresponding steady shear to fully distort a flame. It is the non-trivial dependence of this latter flame wrinkling time with respect to the shear intensity that leads to the scaling behaviour. A combination of asymptotic analysis and high-resolution numerical simulations is used to validate the enhancement parametrization of both standing- and travelling-wave solutions for the perturbed front.

AB - We document and explain the existence of two distinct scaling regimes for the burning speed enhancement of an idealized premixed flame as a result of its distortion by an unsteady periodic shear. The simplified model used in the present study allows for a rigorous, quantitative explanation of the bending in the scaling exponent, either linear or sublinear in the shear intensity, in terms of a non-dimensional flame residence time which compares the intrinsic time-scale of the unsteady flow with time it takes the corresponding steady shear to fully distort a flame. It is the non-trivial dependence of this latter flame wrinkling time with respect to the shear intensity that leads to the scaling behaviour. A combination of asymptotic analysis and high-resolution numerical simulations is used to validate the enhancement parametrization of both standing- and travelling-wave solutions for the perturbed front.

UR - http://www.scopus.com/inward/record.url?scp=0034779294&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034779294&partnerID=8YFLogxK

U2 - 10.1088/1364-7830/5/3/303

DO - 10.1088/1364-7830/5/3/303

M3 - Article

AN - SCOPUS:0034779294

VL - 5

SP - 295

EP - 318

JO - Combustion Theory and Modelling

JF - Combustion Theory and Modelling

SN - 1364-7830

IS - 3

ER -