G. Bendor et al., EXPERIMENTAL INVESTIGATION OF THE INTERACTION BETWEEN WEAK SHOCK-WAVES AND GRANULAR LAYERS, Experiments in fluids, 22(5), 1997, pp. 432-443
The paper describes new experimental results regarding the pressure fi
elds in front of and inside granular layers of different materials dur
ing their collision with weak shock waves. A variety of waves result f
rom the shock wave-granular layer interaction. The pressure behind the
reflected wave from the material interface approaches the equilibrium
value, P-5, which would have been reached had the shock wave reflecte
d from a solid end-wall. The wave succession inside the layer depends
solely on two processes: the complex interaction of the compaction wav
e with the granular material and the gas filtration, which affects the
particles by the drag forces between the two phases. Inside a materia
l with a permeability coefficient f> 0.001 mm(2) the transmitted wave
moves with a constant velocity which is largely governed by the gas fi
ltration. For low permeability materials (f< 0.0003 mm(2)) the transmi
tted wave trajectory strongly depends on the compaction wave propagati
on. In such cases the compaction wave was found to be unsteady and its
acceleration was higher in material having low material densities. Th
e maximum compressive stress values, P-5, reached at the shock tube en
d-wall, covered by the materials under investigation, manifested as an
unsteady pressure peak twice as large as the gas pressure P-5, measur
ed ahead of the layer. Comparing the present data with those available
in the literature showed that the amplitude of the unsteady pressure
peak was higher in materials having low effective densities, gamma, an
d small permeability coefficients f. Contrary to flexible foams where
the available experimental data indicated that the compressive stress
in the post peak period converges to P-5=P-g, the results obtained in
the present study indicated that during the test time the compressive
stress, P-5, was well preserved in the material and for most of the sa
mple length its value was within the range P-s>P-5>P-g.