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Analytical Model for the Impulse of Single-Cycle Pulse Detonation Tube

Wintenberger, E. and Austin, J. M. and Cooper, M. and Jackson, S. and Shepherd, J. E. (2003) Analytical Model for the Impulse of Single-Cycle Pulse Detonation Tube. Journal of Propulsion and Power, 19 (1). pp. 22-38. ISSN 0748-4658. doi:10.2514/2.6099.

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An analytical model for the impulse of a single-cycle pulse detonation tube has been developed and validated against experimental data. The model is based on the pressure history at the thrust surface of the detonation tube. The pressure history is modeled by a constant pressure portion, followed by a decay due to gas expansion out of the tube. The duration and amplitude of the constant pressure portion is determined by analyzing the gasdynamics of the self-similar flow behind a steadily moving detonation wave within the tube. The gas expansion process is modeled using dimensional analysis and empirical observations. The model predictions are validated against direct experimental measurements in terms of impulse per unit volume, specific impulse, and thrust. Comparisons are given with estimates of the specific impulse based on numerical simulations. Impulse per unit volume and specific impulse calculations are carried out for a wide range of fuel–oxygen–nitrogen mixtures (including aviation fuels) of varying initial pressure, equivalence ratio, and nitrogen dilution. The effect of the initial temperature is also investigated. The trends observed are explained using a simple scaling analysis showing the dependency of the impulse on initial conditions and energy release in the mixture.

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Shepherd, J. E.0000-0003-3181-9310
Additional Information:© 2002 by California Institute of Technology. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Received 10 September 2001; revision received 8 August 2002; accepted for publication 21 August 2002. This work was supported by the Office of Naval Research Multidisciplinary University Research Initiative Multidisciplinary Study of Pulse Detonation Engine (Grant 00014-99-1-0744, Subcontract 1686-ONR-0744), and General Electric contract GE-PO A02 81655 under DABT-63-0-0001. We are grateful to Hans Hornung for the numerical simulations. We thank F. Schauer at the U.S. Air Force Research Laboratory for sharing his data with us. Also: two Author responses to comments and an erratum.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-99-1-0744
General ElectricGE-PO A02 81655
General ElectricDABT-63-0-0001
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ID Code:11359
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Deposited On:07 Aug 2008 20:26
Last Modified:01 Jun 2023 23:51

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