Stability and nonlinear dynamics of one-dimensional overdriven detonations in gases

DOI10.1017/S0022112096001334zbMath0857.76040MaRDI QIDQ4892851

Paul Clavin, Longting He

Publication date: 17 March 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

mass conservationintegral equationlongitudinal dynamicsasymptotic solution of reactive Euler equationsquasi-isobaric approximation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Shock waves and blast waves in fluid mechanics (76L05) Reaction effects in flows (76V05)

Related Items (14)

Recent Results on Stability of Planar Detonations ⋮ Dynamics of planar gaseous detonations near Chapman-Jouguet conditions for small heat release ⋮ Multidimensional stability analysis of gaseous detonations near Chapman–Jouguet conditions for small heat release ⋮ Analytical study of the direct initiation of gaseous detonations for small heat release ⋮ Effect of spatial discretization of energy on detonation wave propagation ⋮ Decay of plane detonation waves to the self-propagating Chapman–Jouguet regime ⋮ Study of internal flame front structure of accelerating hydrogen/oxygen flames with detailed chemical kinetics and diffusion models ⋮ One-dimensional overdriven detonations with branched-chain kinetics ⋮ On the dynamics of pulsating detonations ⋮ On the two-dimensional instability of square-wave detonations ⋮ Stability of detonation profiles in the ZND limit ⋮ Stability of detonations for an idealized condensed-phase model ⋮ D’Yakov–Kontorovich instability in planar reactive shocks ⋮ Numerical resolution of pulsating detonation waves

Cites Work

• The dynamical limit of one-dimensional detonations
• Nonlinear Theory of Unstable One-Dimensional Detonations
• Stability of Idealized One-Reaction Detonations

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