Weakly nonlinear dynamics of near-CJ detonation waves
- Los Alamos National Lab., NM (United States)
- Technische Hochschule Aachen (Germany). Inst. fuer Technische Mechanik
The renewed interest in safety issues for large scale industrial devices and in high speed combustion has driven recent intense efforts to gain a deeper theoretical understanding of detonation wave dynamics. Linear stability analyses, weakly nonlinear bifurcation calculations as well as full scale multi-dimensional direct numerical simulations have been pursued for a standard model problem based on the reactive Euler equations for an ideal gas with constant specific heat capacities and simplified chemical reaction models. Most of these studies are concerned with overdriven detonations. This is true despite the fact that the majority of all detonations observed in nature are running at speeds close to the Chapman-Jouguet (CJ) limit value. By focusing on overdriven waves one removes an array of difficulties from the analysis that is associated with the sonic flow conditions in the wake of a CJ-detonation. In particular, the proper formulation of downstream boundary conditions in the CJ-case is a yet unsolved analytical problem. A proper treatment of perturbations in the back of a Chapman-Jouguet detonation has to account for two distinct weakly nonlinear effects in the forward acoustic wave component. The first is a nonlinear interactionof highly temperature sensitive chemistry with the forward acoustic wave component in a transonic boundary layer near the end of the reaction zone. The second is a cumulative three-wave-resonance in the sense of Majda et al. which is active in the near-sonic burnt gas flow and which is essentially independent of the details of the chemical model. In this work, we consider detonations in mixtures with moderate state sensitivity of the chemical reactions. Then, the acoustic perturbations do not influence the chemistry at the order considered and we may concentrate on the second effect; the three-wave resonance.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6730132
- Report Number(s):
- LA-UR-93-165; CONF-9210298-1; ON: DE93007344
- Resource Relation:
- Journal Volume: 1; Conference: ICASE symposium on hypersonic propulsion, Langely, VA (United States), Oct 1992
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DETONATION WAVES
NONLINEAR PROBLEMS
ACOUSTICS
CHEMICAL EXPLOSIONS
COMBUSTION
SAFETY
CHEMICAL REACTIONS
EXPLOSIONS
OXIDATION
SHOCK WAVES
THERMOCHEMICAL PROCESSES
450100* - Military Technology
Weaponry
& National Defense- Chemical Explosions & Explosives
661300 - Other Aspects of Physical Science- (1992-)