ИСТИНА

In this work we investigate theoretically the dynamics of gaseous detonations in a packed bed of inert solid particles. The analysis is based on numerical solution of one-dimensional reactive Euler equations accounting for the losses of heat and momentum due to friction and heat transfer between the gas and the particles. In recent work [1,2], it was found that: i) the Euler equations admit a one-parameter continuous set of steady-state traveling wave solutions when the detonation post-shock structure contains no sonic point [1]; ii) the existence of the one-parameter family is a stabilizing factor in the system admitting very slowly evolving low-velocity detonation solutions [2]. Here we further analyze the nature of the instabilities and dynamics of solutions in this system by performing numerical bifurcation analysis and by investigating the nature of coupling between the lead shock and the fire in low-velocity regimes.