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The chemical-gas dynamic mechanisms of pulsating detonation wave instability

Short, Mark and Kapila, Ashwani K. and Quirk, J. J. (1999) The chemical-gas dynamic mechanisms of pulsating detonation wave instability. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 357 (1764). pp. 3621-3637. ISSN 1364-503X. doi:10.1098/rsta.1999.0513. https://resolver.caltech.edu/CaltechAUTHORS:20201215-163507736

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Abstract

The chemical–gas dynamic mechanisms behind the instability and failure of a one–dimensional pulsating detonation wave driven by a three–step chain–branching reaction are revealed by direct numerical simulation. Two types of pulsating instability observed experimentally are explained. The first involves regular oscillations of the detonation front, where the instability is driven by low–frequency finite–amplitude compression and expansion waves in the chain–branching induction zone between the main reaction layer and the detonation shock. For irregular oscillations of the front, the instability mechanism first involves a decoupling between the shock and main reaction layer. Subsequently, the main reaction layer accelerates, drives a compression wave ahead of it, and undergoes a transition to detonation. This internal detonation wave overtakes the lead detonation shock, generating a new high–pressure detonation, which rapidly decays. A smaller–amplitude pressure oscillation occurs during the decay with a mechanism reminiscent of that observed for the previous regular oscillation, before the detonation and main reaction layer once again decouple and the instability cycle is repeated. For failure scenarios, the shock temperature is observed to drop to the cross–over temperature for the chain–branching reaction, causing the main reaction layer to decouple and retreat indefinitely from the detonation shock.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1098/rsta.1999.0513DOIArticle
Additional Information:© 1999 The Royal Society. Published online: 01/12/1999; published in print: 01/12/1999. M.S. was supported by the US Air Force Office of Scientific Research, Mathematics (F49620-96-1-0260). A.K.K. was supported by the Los Alamos National Laboratory and by the National Science Foundation.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-96-1-0260
Los Alamos National LaboratoryUNSPECIFIED
NSFUNSPECIFIED
Subject Keywords:detonations; instability; chain-branching reactions; failure
Issue or Number:1764
DOI:10.1098/rsta.1999.0513
Record Number:CaltechAUTHORS:20201215-163507736
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201215-163507736
Official Citation:Short Mark, Kapila Ashwani K. and Quirk J. J. 1999. The chemical-gas dynamic mechanisms of pulsating detonation wave instability. Phil. Trans. R. Soc. A. 357: 3621–3637; http://doi.org/10.1098/rsta.1999.0513
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107109
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:16 Dec 2020 16:32
Last Modified:16 Nov 2021 18:59

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