In this paper we discuss the propagation of premixed flames in long narrow channels that are either open at both ends, or close at one of the two ends. An asymptotic method that exploits the different length scales in the problem is used to reduce the complex multi-dimensional problem to a one-dimensional one, which is then solved numerically. The results describe the influences of thermal expansion, frictional forces and compressibility on flame propagation in adiabatic channels.
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