TY - JOUR

T1 - The normal detonation shock velocity-curvature relationship for materials with nonideal equation of state and multiple turning points

AU - Stewart, D. Scott

AU - Yao, Jin

N1 - Funding Information:
Supported by U.S. Air Force Wright Laboratories, Armament Directorate (F08630-94-10004), the U.S. Air Force Office of Scientific Research, Mathematics (F496-93-1-0532). Some computing support was also provided by the U.S. Department of Energy, Los Alamos National Laboratories.

PY - 1998/4

Y1 - 1998/4

N2 - We present a model and a simple-to-implement numerical procedure that obtains the normal detonation shock velocity (D(n))-curvature (κ) relationships for an explosive material with nonideal equation of state and an arbitrary reaction rate law. In addition we illustrate numerically (for a nonideal equation of state) and analytically (for an ideal equation of state with a large activation energy rate law) that for sufficient rate-state- sensitive explosives, the corresponding D(n), κ-response curve can have two turning points, at D(n), κ,-pairs [(D(n))1, κ1], [(D(n))2, κ2], such that κ1 > κ2 > 0 for D(CJ) ≤ (D(n))1 ≤ (D(n))2, and such that the curve has a Z-shape. The top branch of the Z response curve has been previously associated with detonation extinction at a critical curvature. The bottom branch can be possibly associated with low-velocity detonation and rapid change from low-order detonation to high-order.

AB - We present a model and a simple-to-implement numerical procedure that obtains the normal detonation shock velocity (D(n))-curvature (κ) relationships for an explosive material with nonideal equation of state and an arbitrary reaction rate law. In addition we illustrate numerically (for a nonideal equation of state) and analytically (for an ideal equation of state with a large activation energy rate law) that for sufficient rate-state- sensitive explosives, the corresponding D(n), κ-response curve can have two turning points, at D(n), κ,-pairs [(D(n))1, κ1], [(D(n))2, κ2], such that κ1 > κ2 > 0 for D(CJ) ≤ (D(n))1 ≤ (D(n))2, and such that the curve has a Z-shape. The top branch of the Z response curve has been previously associated with detonation extinction at a critical curvature. The bottom branch can be possibly associated with low-velocity detonation and rapid change from low-order detonation to high-order.

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U2 - 10.1016/S0010-2180(97)00170-3

DO - 10.1016/S0010-2180(97)00170-3

M3 - Article

AN - SCOPUS:0032053365

SN - 0010-2180

VL - 113

SP - 224

EP - 235

JO - Combustion and Flame

JF - Combustion and Flame

IS - 1-2

ER -