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Linear stability of the activation-energy-asymptotics reactive-layer structure: II. Liñán's diffusion flame regime
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DOI：10.1007/s12206-026-0265-2.png)
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Abstract
En 中文
The present study examines the linear stability characteristics of the reaction zone in Li & ntilde;& aacute;n's diffusion flame regime. By utilizing characteristic temporal and length scales of the thin reactive layer, an explicit dispersion relation is derived through an asymptotic analysis near the critical Damk & ouml;hler number Delta c under the limit of 1-L = O(beta-1). Each term in the dispersion relation captures the contributions of three key physical mechanisms driving the instability: sensitivity to reactant leakage, excess enthalpy effects associated with the Lewis number, and diffusion relaxation due to outer perturbations. The analysis reveals three primary instability modes-planar, cellular, and pulsating-similar to those found in conventional diffusive-thermal instabilities. It is confirmed that these modes emerge with changes in the key parameters, Damk & ouml;hler number (Delta) and Lewis number (L). The onset conditions for each mode were derived analytically and showed excellent agreement with previously reported numerical results. Based on these results, a stability map was constructed in the Delta-L parameter space. Furthermore, by incorporating outer-layer disturbances associated with complex flame configurations, this framework offers a promising extension to the conventional analysis of diffusive-thermal instability.
Keywords:
Asymptotic analysis
Cellular instability
Li & ntilde
& aacute
n's diffusion flame regime
Planar instability
Pulsating instability
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1.7
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481
Citations:
1.2W
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