TY - JOUR
AU - Partom, Yehuda
PY - 2022/12/11
Y2 - 2024/06/17
TI - Detonation Velocity as Function of Curvature from Diameter Effect Data
JF - European Journal of Applied Sciences
JA - EJAS
VL - 10
IS - 6
SE - Articles
DO - 10.14738/aivp.106.13564
UR - https://journals.scholarpublishing.org/index.php/AIVP/article/view/13564
SP - 434-443
AB - <p><strong>D<sub>n</sub>(k) (normal detonation velocity as function of curvature) is usually calibrated from rate stick breakout data. Using this approach, it is often found that sections of the D<sub>n</sub>(k) curve, obtained from sticks of different diameters, do not agree at overlapping k ranges. We therefore ask if it is possible to calibrate D<sub>n</sub>(k) from diameter effect data, and show that this is indeed possible. We use for that an indirect calibration procedure: 1) assume a D<sub>n</sub>(k) curve; 2) for different values of the steady rate stick detonation velocity D<sub>s</sub>, integrate the two front shape ODEs until the boundary angle is reached, and record the resulting diameter d; and 3) compare the resulting D<sub>s</sub>,d pairs to the experimental diameter effect curve. We show here that by appropriately correcting the assumed D<sub>n</sub>(k) curve, we can easily get agreement with the experimental diameter effect curve, thereby completing the calibration procedure. As a byproduct we show that the D<sub>n</sub>(k) curve must have a limit curvature, or otherwise the failure stick diameter is not reproduced. Finally, we apply the same procedure to predict the size effect (like diameter effect, but for nonstick geometries) and the breakout curves for other steady detonations.</strong></p>
ER -