Modified shock velocity in heterogeneous wetted foams in the strong shock limit

Shock propagation in wetted foams described by a regular square alignment of fibers of heavy medium immersed in a light medium is studied. A two-dimensional Eulerian adaptative mesh refinement code is used. The equation of state is assumed to be that of perfect gases. The variation of the presence ratio of fibers-the ratio of the dry-foam density to the solid density-leads to an increase in the shock velocity in comparison to the speed that the shock would have in a homogeneous medium with the same average density. This departure from the homogeneous case exhibits a maximum when the presence ratio is roughly 70%. Only three independent parameters seem to have an effect on the shock velocity: the presence ratio, the density ratio between both fluids, and the adiabatic exponent. The numerical results seem to be consistent with a thermodynamic description of turbulence.