Theory of detonation with an embedded sonic locus

Stewart, D. Scott; Kasimov, Aslan R.

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https://hdl.handle.net/2142/983 Copy

Description

Title

Theory of detonation with an embedded sonic locus

Author(s)

• Stewart, D. Scott
• Kasimov, Aslan R.

Issue Date

2005

Keyword(s)

• chemically reacting flows
• shocks and singularities
• supersonic flows
• transonic flows

Abstract

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

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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