Abstract

We study the spatial behaviour of the hydrogen-chlorine reaction in a batch reactor. The solutions from the governing equations (described by six PDEs) exhibit a transition between regimes of slow and fast reaction. The main aim of this work is to distinguish between flaming and non-flaming mixtures from the numerical solutions by investigating different properties of these solutions. After setting out a practical criterion for flammability, we construct a bifurcation diagram showing the regions in which the hydrogen-chlorine mixture is flammable. This diagram shows close generic resemblance to experimental observations.

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