A stretch-temperature model for flame-flow interaction

Document Type

Article

Publication Date

2-5-2007

Abstract

The classical relation between the flame speed and the stretch, employed in modeling flame-flow interaction, is valid only for positive Markstein lengths (high Lewis numbers). At negative Markstein lengths (low Lewis numbers) the corresponding dynamical 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 using a geometrically-invariant extrapolation from the linear analysis data. 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. © 2006 Elsevier B.V. All rights reserved.

Identifier

33845439116 (Scopus)

Publication Title

Physics Letters Section A General Atomic and Solid State Physics

External Full Text Location

https://doi.org/10.1016/j.physleta.2006.09.049

ISSN

03759601

First Page

356

Last Page

359

Issue

4-5

Volume

361

Grant

2002-008

Fund Ref

National Science Foundation

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