A simple two-dimensional square cavity model is used to study shock attenua
ting effects of dust suspension in air. The GRP scheme for compressible flo
ws was extended to simulate the fluid dynamics of dilute dust suspensions,
employing the conventional two-phase approximation. A planar shock of const
ant intensity propagated in pure air over Aat ground and diffracted into a
square cavity filled with a dusty quiescent suspension. Shock intensities w
ere M-s = 1.30 and M-s = 2.032, dust loading ratios were alpha = 1 and alph
a = 5, and particle diameters were d = 1, 10 and 50 mum. It was found that
the diffraction patterns in the cavity were decisively attenuated by the du
st suspension, particularly for the higher loading ratio. The particle size
has a pronounced effect on tile flow and wave pattern developed inside til
e cavity. Wall pressure historics were recorded for each of tile three cavi
ty walls, showing a clear attenuating effect of the dust suspension.