Abstract
Spherical steady laminar flame propagation is considered. Analytical solutions have been obtained for the cases of (a) Step-function reaction-rate curves, and (b) Adams-type reaction-rate curves. It is shown that the effective radius of a spherical flame is under-estimated if one uses the thin-flame approximation. The error decreases as the rate of injection and the laminar flame speed of the mixture increase. Graphical comparison has been made with numerical and analogue solutions. Curves are presented which can be used with fair accuracy with any realistic reaction-rate function.
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