One-dimensional laminar flame propagation with an enthalpy gradient

Abstract
Exact numerical solutions of the flame equations are presented for a class of one-dimensional pre-mixed steady flames propagating in the presence of an enthalpy gradient. It is shown that a positive enthalpy gradient increases the flame speed whereas a negative gradient decreases it to zero, the latter result occurring at a finite value of the dimensionless enthalpy-gradient parameter. The physical significance of the results is discussed quantitatively for the following cases: Flow of a combustible gas in to a hot plug : flow of a combustible gas in to a cold plug; the ‘sandwich burner’ (flame between two cooled plugs); radiative heat loss from the combustion products; burning of a condensed-phase propellant in an atmosphere with which the decomposition products can react chemically. It is shown that some of these conditions lead to the existence of two possible burning velocities, and to conditions under which the flame will be extinguished.
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