The laminar diffusion flame in Oseen flow: The stoichiometric Burke-Schumann flame and frozen flow

Abstract

The Oseen approximation is used to study the behaviour of two initially separated gas streams which, when they are united, may form a combustible mixture. The limiting cases of small and large burning reaction time are dealt with for an irreversible fuel‒oxidant chemical reaction, the former of these cases being identified with the Burke‒Schumann flame. The half-plane problems encountered lead to integral equations of the Wiener‒Hopf type. Their general solutions are obtained and yield a description of the field near to the flame or mixing zone in terms of simple functions.