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Title:Spinning instability of gaseous detonations
Author(s):Kasimov, Aslan R.; Stewart, D. Scott
detonation wave
detonation and shock physics
Abstract:We investigate hydrodynamic instability of a steady planar detonation wave propagating in a circular tube to three-dimensional linear perturbations, using the normal mode approach. Spinning instability is identified and its relevance to the well-known spin detonation is discussed. The neutral stability curves in the plane of heat release and activation energy exhibit bifurcations from a low-frequency to high-frequency spinning modes as the heat release is increased at fixed activation energy. With a simple Arrhenius model for the heat release rate remarkable qualitative agreement is found with experiments that vary the mixture dilution, initial pressure, and tube diameter. The analysis contributes to an explanation of the spin detonation which has essentially been absent since the discovery of the phenomenon over seventy years ago.
Issue Date:2001-10
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Series/Report:TAM Reports 985
Genre:Technical Report
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-03-08
Is Version Of:Published as: Aslan R. Kasimov and D. Scott Stewart. Spinning instability of gaseous detonations. Journal of Fluid Mechanics, Vol. 466, No. 466, 2002, pp. 179-203. DOI: 10.1017/S0022112002001192. Copyright 2002 Cambridge University Press. Available:

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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