Solid-solid combustion becomes self-sustaining when the preheating of
the fresh mixture is high enough to support a spontaneous chemical rea
ction. These reactions have high activation energies, requiring signif
icant preheating. Traditionally, conduction has been considered as the
main form of preheating, and propagation velocities in the order Of a
few, mm to a few cm per second were found. When acoustic equations ar
e included in the analysis, no significant changes occur for tradition
al SHS reactions. However, the analysis of a 1-D model propagating at
a constant velocity reveals the existence of two other solutions with
propagation velocities which are much faster. An SHS deflagration wave
is found with combustion temperature lower than the adiabatic value.
The propagation velocity is less than the longitudinal sound speed of
the medium, but typical Mach numbers vary between 0.6 and 0.95. The th
ird solution is an SHS detonation with temperature above the adiabatic
value and supersonic propagation velocity. Since the heat fluxes are
extremely high, the hyperbolic conduction model is used.