Spinning instability of gaseous detonations

DOI10.1017/S0022112002001192zbMath1013.76034OpenAlexW1999511439MaRDI QIDQ4797114

Aslan R. Kasimov, D. Scott Stewart

Publication date: 13 July 2003

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

Full work available at URL: https://doi.org/10.1017/s0022112002001192

zbMATH Keywords

normal mode approachhydrodynamic instabilityheat release rateneutral stability curvescircular tubeArrhenius modelspin detonationspinning instabilitysteady planar detonation wavethree-dimensional linear perturbations

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (17)

Recent Results on Stability of Planar Detonations ⋮ Initial-value problem for small disturbances in an idealized one-dimensional detonation ⋮ Mode selection in weakly unstable two-dimensional detonations ⋮ \(O(2)\) Hopf bifurcation of viscous shock waves in a channel ⋮ Effect of initial disturbance on the detonation front structure of a narrow duct ⋮ Stability of ZND detonations for Majda’s model ⋮ Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions ⋮ Hydrodynamic bidimensional stability of detonation wave solutions for reactive mixtures ⋮ Galloping instability of viscous shock waves ⋮ Efficient numerical stability analysis of detonation waves in ZND ⋮ Initial-value problem for perturbations of idealized detonations in circular pipes ⋮ One-dimensional stability of viscous strong detonation waves ⋮ The refined inviscid stability condition and cellular instability of viscous shock waves ⋮ Nonlinear stability of time-periodic viscous shocks ⋮ Stability of detonation profiles in the ZND limit ⋮ Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD ⋮ Modelling and solutions to the linear stability of a detonation wave in the kinetic frame

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