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

Journal Article · · Combustion and Flame
;  [1]
  1. Univ. of Illinois, Urbana, IL (United States)

The authors present a model and a simple-to-implement numerical procedure that obtains the normal detonation shock velocity (D{sub n})-curvature ({kappa}) relationships for an explosive material with nonideal equation of state and an arbitrary reaction rate law. In addition they 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{sub n}, {kappa}-response curve can have two turning points, at D{sub n}, {kappa},-pairs [(D{sub n}){sub 1}, {kappa}{sub 1}], [(D{sub n}){sub 2}, {kappa}{sub 2}], such that {kappa}{sub 1} > {kappa}{sub 2} > 0 for D{sub CJ} {ge} (D{sub n}){sub 1} {ge} (D{sub n}){sub 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.

Sponsoring Organization:
USDOE, Washington, DC (United States)
OSTI ID:
619600
Journal Information:
Combustion and Flame, Journal Name: Combustion and Flame Journal Issue: 1-2 Vol. 113; ISSN CBFMAO; ISSN 0010-2180
Country of Publication:
United States
Language:
English

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