A reduced model for flame-flow interaction

Document Type

Article

Publication Date

1-1-2007

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. © 2007 EDP Sciences.

Identifier

76149128077 (Scopus)

Publication Title

Mathematical Modelling of Natural Phenomena

External Full Text Location

https://doi.org/10.1051/mmnp:2008015

e-ISSN

17606101

ISSN

09735348

First Page

1

Last Page

12

Issue

2

Volume

2

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