Detonation initiation on the microsecond time scale: DDTs
Authors: Kassoy, D. R.1; Kuehn, J. A.2; Nabity, M. W.3; Clarke, J. F.4
Source: Combustion Theory and Modelling, Volume 12, Number 6, December 2008 , pp. 1009-1047(39)
Publisher: Taylor and Francis Ltd
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Abstract:
Spatially resolved, thermal power deposition of limited duration into a finite volume of reactive gas is the initiator for a deflagration-to-detonation transition (DDT) on the microsecond time scale. The reactive Euler equations with one-step Arrhenius kinetics are used to derive a novel formula for the gas velocity supporting the lead shock in a detonation. Numerical solutions of the reactive Euler equations are used to describe the detailed sequence of reactive gasdynamic transients leading to a planar detonation, characterised by unusually large power output, far from the power deposition location. Results are presented for deposition into a region isolated from the planar boundary of the reactive gas as well as for that adjacent to the boundary. The quantitative dependences of DDT evolution on the location and magnitude of thermal power deposition and activation energy are identified.Keywords: reactive gasdynamics; detonation initiation; deflagration-to-detonation transition
Document Type: Research article
DOI: 10.1080/13647830802045080
Affiliations: 1: Mechanical Engineering, University of Colorado, Boulder, CO, USA 2: Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA 3: Applied Mathematics, University of Colorado, Boulder, CO, USA 4: Cranfield University, Cranfield, UK
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