On the normal detonation shock velocity-curvature relationship for materials with large activation energy
- Univ. of Illinois, Urbana, IL (United States)
The authors derive the normal detonation shock velocity-curvature relation for a near-Chapman-Jouguet detonation, for an explosive material with Arrhenius kinetics and a large activation energy. Large activation energy asymptotics are used to develop an explicit exponential formula relating the shock curvature {kappa} to the normal detonation shock speed, D{sub n}. In this case, the D{sub n} {minus} {kappa} relation is multivalued and has a turning point with a critical curvature {kappa}{sub cr} such that for {kappa} > {kappa}{sub cr}, the possibility of detonation extinction arises. The asymptotic formula is in excellent agreement with the exact solution found by a numerical shooting procedure.
- OSTI ID:
- 63277
- Journal Information:
- Combustion and Flame, Journal Name: Combustion and Flame Journal Issue: 4 Vol. 100; ISSN CBFMAO; ISSN 0010-2180
- Country of Publication:
- United States
- Language:
- English
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