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A Reduced Model for Flame-Flow Interaction
Published online by Cambridge University Press: 15 June 2008
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.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 2 , Issue 2: Reaction-diffusion waves , 2007 , pp. 1 - 12
- Copyright
- © EDP Sciences, 2007
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