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Competition between curvature and chemistry in a spherically expanding detonation

Journal Article · · Appl. Phys. Lett.; (United States)
DOI:https://doi.org/10.1063/1.99617· OSTI ID:5212925

The methods of bifurcation theory and asymptotic analysis are used to study curvilinear perturbations of a plane detonation wave. An asymptotic model is derived for the small curvature limit. The nonlinear competition between curvature and chemistry is manifested by a highly degenerate critical point in the state space of the model equations. Computer simulations are presented showing agreement of this model with the reactive Euler equations in the small curvature limit. In particular, we find that the leading order correction to the wave speed due to the curvature of the detonation front depends on the order of the chemical reaction to leading order in curvature.

Research Organization:
Los Alamos National Laboratory, Los Alamos, New Mexico 87545
OSTI ID:
5212925
Journal Information:
Appl. Phys. Lett.; (United States), Journal Name: Appl. Phys. Lett.; (United States) Vol. 52:22; ISSN APPLA
Country of Publication:
United States
Language:
English

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