Abstract
The energy and diffusion equations are solved for one-dimensional, laminar, steady combustion wave in a pre-mixed gas which is in heat-transfer communication with solid surroundings. It is shown that in general a given combustible mixture has two possible flame speeds, but the lower one represents a normally unstable condition. If the heat-loss parameter increases, the two flame speeds first become coincident and then imaginary. The condition of coincidence is identified with the inflammability limit. Particular examples are evaluated in which heat loss is in turn by radiation and by conduction to the walls of a tube. Agreement with experiment is good for quenching in tubes. Results for the flame speed at the inflammability limit are of the correct order of magnitude, but precise experimental data are lacking. Experimental evidence for the existence of two flame speeds is adduced.
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