K. Kitagawa et al., ANALYSIS OF SHOCK-WAVE INTERACTION WITH POROUS ELASTIC-MATERIAL, JSME international journal. Series B, fluids and thermal engineering, 39(4), 1996, pp. 721-730
One-dimensional interaction between a planar shock wave and porous mat
erial with various porosity phi(g) are investigated numerically. As th
e result of numerical investigations, it is deduced that the dynamic b
ehavior of gas-foam interactions strongly depends on the porosity phi(
g) of the foam. Four kinds of porous material are treated: rubber whic
h is of no porosity (phi(g) = 0); foam 350 x 70 x 70 which is of low-p
orosity (phi(g) = 0.76) and high density (rho(c) = 290 kg/m(3)); foam
50 x 50 x 50 which is of high-porosity (phi(g) = 0.98) and low density
(rho(c) = 26 kg/m(3)); and foam 13 x 13 x 13, which has the same dens
ity and porosity as foam 50 x 50 x 50, but has a different internal st
ructure of foam material, In the no porosity (phi(g) = 0) and low poro
sity (phi(g) approximate to 0 similar to 0.76) cases, comparisons of n
umerical results with experimental ones show that the mobility of gas
inside the materials is very low, and its dynamics can be approximated
by a single-phase elastic motion. Results of single-phase analysis ar
e compared with the shock tube experiments, which show essentially sam
e stress variations with experimental results, In the high-porosity (p
hi(g) approximate to 0.95) case, the mobility of the gas inside the fo
am is higher, and the dynamics must be treated as. two-phase flow. Res
ults of two-phase analysis simulate experimental stress variations in
high-porosity foam well, while the single-phase analysis for high-poro
sity foam dose not simulate experimental results well.