Computational results obtained using the neutron-gas-dynamic codes for fiss
ion bursts in supercritical hollow assemblies of fissioning substances with
a moderated neutron spectrum, specifically, in assemblies containing a neu
tron absorber, with a core consisting of a mixture of uranium , enriched to
90% with U-235, and polyethylene are presented. Sharp manifestations of po
sitive reactivity in the assemblies and a difference of the effect from tha
t in fast systems are found. It is shown that in assemblies with moderated
neutrons, as compared with fast systems, 1) the scale of the increase ill t
he energy release in a burst is substantially reduced by inserting boron in
to the cavity; 2) in many cases the effect has the classical form with real
growth of k(eff) mid ii in time; 3) the effect is essentially independent
of the properties of the moderator in the cavity; and 4) the effect is less
dangerous with respect to nuclear safety 2 figures, 3 tables, 12 reference
s.