A steady planar self-sustained detonation has a sonic surface in the reaction zone that
resides behind the lead shock. In this work we address the problem of generalizing sonic conditions
for a three-dimensional unsteady self-sustained detonation wave. The conditions are proposed to
be the characteristic compatibility conditions on the exceptional surface of the governing hyperbolic
system of reactive Euler equations. Two equations are derived that are necessary to determine the
motion of both the lead shock and the sonic surface. Detonation with an embedded sonic locus is
thus treated as a two-front phenomenon: a reaction zone whose domain of influence is bounded by
two surfaces, the lead shock surface and the trailing characteristic surface. The geometry of the
two surfaces plays an important role in the underlying dynamics. We also discuss how the sonic
conditions of detonation stability theory and detonation shock dynamics can be obtained as special
cases of the general sonic conditions.
Publisher
Society of Industrial and Applied Mathematics
Type of Resource
text
Genre of Resource
Article
Language
en
Permalink
http://hdl.handle.net/2142/983
DOI
https://doi.org/10.1137/040616930
Has Version(s)
Previously released as TAM Report 1053. http://hdl.handle.net/2142/311.
Copyright and License Information
Copyright owned by Society of Industrial and Applied Mathematics 2005.
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StewartKasimov.pdf
