Reconstruction of cylinder test wall expansion from velocimetry data

Revisiting the Kinematics of the Cylinder Test

“…The equations developed in this section fully describe the motion of the cylinder wall based only on the measurement of a single velocimetry probe at any arbitrary angle. This observation is consistent with [23] and in contrast with [24]. It is noted, however, that equations derived in [23] are inaccurate as they assume the particle velocity angle to be θ rather than β .…”

“…To this author‘s knowledge, the work of Hodgson et al. [24] is the most representative (n.b., Ferguson and Taylor [37] performed a similar study a few years before Hodgson et al. [24]).…”

“…[24] is the most representative (n.b., Ferguson and Taylor [37] performed a similar study a few years before Hodgson et al. [24]). A conventional high explosive ( D ≈8 mm/μs) was used in standard cylinder tests in which PDV probes were oriented at 0°≤ α ≤30°, nominally.…”

The detonation cylinder test: Determination of full wall velocity and shape from a single velocimetry probe with an arbitrary angle

“…Jackson [2] showed that not accounting for it would incur a 2-3% error in velocity magnitude for a cylinder test with an ideal explosive; the error magnitude generally increases for explosives with slower detonation velocities but high product energies. Full reconstruction of the cylinder motion and subsequent product isentrope determination continues to generate interest from other researchers [9,10,11,12].…”

“…Finally, angled probe data is transformed to normal probe data, which can be used to yield the exact cylinder shape and approximate product equation of state [2]. In that this approach only requires a single probe and a rational algebraic approach, it can be considered more straightforward and computational efficient than other strategies [9,11] that require a combination of multiple probes to be fielded on each test, iterative solution methods, or CFD modeling to back out the full case motion.…”