→ 0. This simplification is further justified by results of
the parametric analysis reported in Ref. [11] which demonstrate
that compaction wave structures for granular HMX are
unaffected by significant variations in ˜μ about the baseline
value ˜μ ≈ 9.4 × 10−12 s suggested by quasistatic experiments.
In the subsections that follow for Cases I and II, we
first give representative predictions that illustrate compaction
wave evolution, highlighting both the variation in grain
surface heat flux within compaction wave profiles and their
combustion implications.We then give predictions that summarize
the influence of precompaction and piston speed on
incident and transmitted waves, and compare the predictions
for incident waves with those given by a strictly steady-state
theory.We primarily focus on incident and transmittedwaves
because they induce comparatively higher grain scale heating
than reflected waves for spatially increasing porosity.