Pulsating instability of detonations with a two-step chain-branching reaction model: theory and numerics

DOI10.1088/1364-7830/7/2/311zbMath1068.80530OpenAlexW2049103084MaRDI QIDQ5316770

Mark W. Short, Gary J. Sharpe

Publication date: 15 September 2005

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1364-7830/7/2/311

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Combustion (80A25) Reaction effects in flows (76V05)

Related Items

Unsteady features on one-dimensional hydrogen-air detonations ⋮ Unsteady detonation with thermodynamic nonequilibrium effect based on the kinetic theory ⋮ Head-on collision of a detonation with a planar shock wave ⋮ Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations ⋮ Numerical investigation of the instability for one-dimensional Chapman–Jouguet detonations with chain-branching kinetics ⋮ Stability of detonations for an idealized condensed-phase model ⋮ Nonlinear dynamics of pulsating detonation wave with two-stage chemical kinetics in the shock-attached frame

Cites Work

• A nonlinear evolution equation for pulsating Chapman–Jouguet detonations with chain-branching kinetics
• Cellular detonation stability. Part 1. A normal-mode linear analysis
• On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction
• One-dimensional nonlinear stability of pathological detonations
• The role of unsteadiness in direct initiation of gaseous detonations