Time-dependent two-dimensional detonation: the interaction of edge rarefactions with finite-length reaction zones

DOI10.1017/S0022112086001349zbMath0607.76067MaRDI QIDQ3747119

John B. Bdzil, D. Scott Stewart

Publication date: 1986

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

zbMATH Keywords

Burgers' equationinitial-boundary-value problemstability of the solutionswave headplanar shockedge rarefactionexplosive's lateral surfacefinite-thickness reactive zoneone-dimensional detonationshock locustime-dependent two-dimensional detonationtwo-dimensional parabolic regiontwo-dimensional steady-state detonationwave-hierarchy structureweakly two-dimensional hyperbolic region

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Combustion (80A25) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

Related Items (10)

Shock-to-detonation transition: A model problem ⋮ Calculation of linear detonation instability: one-dimensional instability of plane detonation ⋮ Steady detonation propagation in a circular arc: a Detonation Shock Dynamics model ⋮ Theory of Mach reflection of detonation at glancing incidence ⋮ Decay of plane detonation waves to the self-propagating Chapman–Jouguet regime ⋮ Curvature effect on steady detonation wave ⋮ Approach to the steady solution for a plane Chapman–Jouguet detonation ⋮ Modeling two-dimensional detonations with detonation shock dynamics ⋮ The Riemann problem for fluid flow of real materials ⋮ Transients following the loss of detonation confinement

Cites Work

• The vorticity jump across a gasdynamic discontinuity
• Water waves and Korteweg–de Vries equations

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