Non-Steady Gas Dynamic Effects in the Induction Domain Behind a Strong Shock Wave

摘要

Processes in the region between a driving piston or contact surface and a strong shock wave (e.g. Mach number 1.5) is modelled theoretically as relatively small perturbation events. The combustion reaction is assumed to be of simple irreversible Arrhenius type; perturbations are then of the order of the dimensionless inverse activation energy (typically 1/25). Events behind the shock are then described by either an integral equation, which is solved by straightforward numerical iterative methods, or by a differential equation. The latter reveals the basic physics as a coupling between four limiting processes namely, explosion at constant pressure and at constant volume coupled with wave propagation at the isentropic and isothermal sound speeds.