Exploiting the fact that the NO formation in diffusion flames lakes place in a narrow region around the maximum temperature, an asymptotic expansion in terms of a small parameter #x3B5; is performed. This parameter contains the maximum temperature, the activation energy of the NO formation rate and the second derivative of the temperature profile at maximum temperature. Closed form solutions are obtained for the NO profiles within the flame as well as for the total NO mass formation rate. The results agree favourably with experimental results of a hydrogen-air jet diffusion flame.
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