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Title:Theory of detonation with an embedded sonic locus
Author(s):Stewart, D. Scott; Kasimov, Aslan R.
Subject(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.
Issue Date:2005
Publisher:Society of Industrial and Applied Mathematics
Citation Info:D. Scott Stewart and Aslan R. Kasimov. Theory of detonation with an embedded sonic locus. SIAM Journal on Applied Mathematics, Vol. 66, No. 2, 2006, pp. 384-407.
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Rights Information:Copyright owned by Society of Industrial and Applied Mathematics 2005.
Date Available in IDEALS:2007-06-19
Has Version(s):Previously released as TAM Report 1053.

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