A simple model of the fast convective waves in porous high explosives
(HE) is proposed. The movement of the solid phase is neglected, and on
ly gas phase equations are considered. The burning solid grains supply
the gas influx into the pore space and produce considerable drag for
the gas flow. Under realistic assumptions, the combustion zone is show
n to be approximately isothermal. As a result, the energy equation can
be avoided and the analysis becomes much simpler. The existence of st
ationary Chapman-Jouget waves is shown. The Chapman-Jouget condition i
nvolves the isothermal sound velocity. Results agree qualitatively wit
h the experimental data. The model is interesting as a limiting case o
f nonideal detonation with high momentum losses.