A theoretical study of outwardly expanding flames originating from a point ignition source is presented. Spherically symmetric solutions are discussed and tested for stability. Flames which are stable to thermo-diffusive effects are found to become unstable after reaching a critical size. This instability which is hydrodynamic in nature is a result of the interaction of the flame with the hydrodynamic disturbances that it generates via thermal expansion. In this study, we present a linear stability analysis and determine the dependence of the critical radius on the relevant physicochemical parameters.
|Original language||English (US)|
|Number of pages||7|
|State||Published - Jan 1 1987|
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