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

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)224-235
Number of pages12
JournalCombustion and Flame
Volume113
Issue number1-2
DOIs
StatePublished - Apr 1998

ASJC Scopus subject areas

  • General Chemistry
  • General Chemical Engineering
  • Fuel Technology
  • Energy Engineering and Power Technology
  • General Physics and Astronomy

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