A Reduced Model for Flame-Flow Interaction

P. Gordon; M. Frankel; G. Sivashinsky

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 2, Issue: 2, page 1-12
  • ISSN: 0973-5348

Abstract

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The paper is concerned with an extension of the classical relation between the flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively stable flames). At low Lewis numbers the corresponding flame-flow system suffers short-wavelength instability, making the associated initial value problem ill-posed. In this study the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with a reduced model based on a coupled system of second-order dynamic equations for the flame interface and its temperature. As an illustration the new model is applied for description of diffusively unstable stagnation-point flow flames.

How to cite

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Gordon, P., Frankel, M., and Sivashinsky, G.. "A Reduced Model for Flame-Flow Interaction." Mathematical Modelling of Natural Phenomena 2.2 (2010): 1-12. <http://eudml.org/doc/222215>.

@article{Gordon2010,
abstract = { The paper is concerned with an extension of the classical relation between the flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively stable flames). At low Lewis numbers the corresponding flame-flow system suffers short-wavelength instability, making the associated initial value problem ill-posed. In this study the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with a reduced model based on a coupled system of second-order dynamic equations for the flame interface and its temperature. As an illustration the new model is applied for description of diffusively unstable stagnation-point flow flames. },
author = {Gordon, P., Frankel, M., Sivashinsky, G.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {premixed flames; instabilities in flames; flame stretch},
language = {eng},
month = {3},
number = {2},
pages = {1-12},
publisher = {EDP Sciences},
title = {A Reduced Model for Flame-Flow Interaction},
url = {http://eudml.org/doc/222215},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Gordon, P.
AU - Frankel, M.
AU - Sivashinsky, G.
TI - A Reduced Model for Flame-Flow Interaction
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 2
IS - 2
SP - 1
EP - 12
AB - The paper is concerned with an extension of the classical relation between the flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively stable flames). At low Lewis numbers the corresponding flame-flow system suffers short-wavelength instability, making the associated initial value problem ill-posed. In this study the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with a reduced model based on a coupled system of second-order dynamic equations for the flame interface and its temperature. As an illustration the new model is applied for description of diffusively unstable stagnation-point flow flames.
LA - eng
KW - premixed flames; instabilities in flames; flame stretch
UR - http://eudml.org/doc/222215
ER -

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