Dynamics of gaseous detonations with global mass divergence

Abstract eng:
The dynamics of detonation waves in arbitrary geometries can be modeled by the deil-Stewart DSD framework, provided a relation is known relating the shock speed dependence on geometric mass divergence behind the shock. We propose a novel test geometry which permits to establish such a dependence unambiguously for gas phase detonations. It is shown that channels with an exponentially increasing cross-section provide a constant mass divergence and a steady front speed below the CJ value. We find that predictions of the wave speed using the classical ZND model do not agree with experiment, unless much lower effective activation energies are used, consistent with previous observations in regards to the hydrodynamic structure of cellular detonations.

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