Abstract
An approximate method for the solution of a set of energy conservation and active centre diffusionequations, describing steady-state flame propagation by an unbranched one-centre chain reaction, is proposed. Calculated values for burning velocities and the distribution of active centres as a function of temperature are in agreement with those obtained by numerical integration. An approximate solution for the problem flame propagation in an unbranched chain system involving two active centres is given. Theoretical burning velocity values for chlorine-hydrogen flames calculated from approximated formulae show a good fit with experimental results. Approximate formulae for burning velocities in unbranched chain systems are derived. The application of the formulae for the determination of elementary branched chain reaction rate constants from burning velocities as a function of temperature is illustrated by hydrogen flames.
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