Overdriven detonation and bidimensional stability for an explosive mixture with symmetric reaction

摘要

The structure of a planar detonation wave is analyzed for an Eulerian mixture of ideal gases undergoing the symmetric reaction A1 +A1 = A2 +A2. The chemical rate law is derived from the reactive Boltzmann equation, showing a detailed chemical kinetics in terms of a second-order reaction rate. The hydrodynamic bidimensional stability of the detonation wave is also investigated using a normal mode approach, when time-spacetransverse disturbances affect the shock wave location. Numerical results are provided illustrating the detonation wave structure and its instability spectrum.