Abstract
This work describes a simple analysis of a flame spreading from the center of a two-dimensional constant-area duct containing a shock-free supersonic stream of premixed combustible gases. With the aid of some simplifying assumptions, the flame width is expressed as a function of the mass fraction burned. The flame length is established by formulating an “entrainment law” based on the growth rate of a turbulent wake. A maximum possible stagnation temperature ratio for complete combustion is found. Flame lengths are calculated for initial free-stream Mach numbers of 2, 3, 5, and 7. When the combustion is complete these are found to be of the order of 50 to 100 duct widths.
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