The problem of propagation of steady nonideal detonations in heterogen
eous hybrid mixtures is studied in the case of a hydrogen-air gaseous
mixture with suspended fine aluminum particles. Due to the difference
in the order of magnitude of the characteristic induction and combusti
on times of gaseous mixture and solid particles, the process of energy
release behind the leading shock front occurs over an extended period
of time and in a nonmonotonic way. An approximate numerical model has
been improved to find the steady propagation regimes and investigate
their structure. The problem is analyzed in the frame of the theory of
the mechanics of multiphase media with mass, momentum and heat exchan
ges between particles and gases. The one-dimensional ZND model of deto
nation with losses to the lateral boundaries is used. It is shown that
three different steady propagation regimes may exist: the Pseudo-Gas
Detonation (PGD), the Single-Front Detonation (SFD) and the Double-Fro
nt Detonation (DFD). The numerical results match the available experim
ental results obtained previously. The influence of the fundamental pa
rameters of the system on the domains of existence of the different re
gimes is displayed. Moreover, it is shown that, according to the theor
y of nonideal detonations with nonmonotonic energy release, there may
exist a multiplicity of detonation modes. However, the total number of
solutions actually obtained by numerical calculations differs from th
at predicted by the theory. The reasons for these discrepancies are di
scussed.