A nonlinear oscillator concept for one-dimensional pulsating detonations |
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| Authors: | F Zhang RS Chue JHS Lee R Klein |
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| Institution: | (1) Combustion Dynamics Ltd., Medicine Hat, Alberta, Canada T1A 8B5 , CA;(2) Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6 , CA;(3) Mathematik and Informatik, Freie Universitaet Berlin, D-14195 Berlin, Germany , DE |
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| Abstract: | To interpret the results of direct numerical simulations for the one-dimensional pulsating detonation, a nonlinear oscillator
model is proposed based on the integral conservation considerations. A gauging procedure is suggested in which the results
from the direct numerical simulation are used to compute the coefficients of the oscillator equation. Various terms of the
oscillator equation obtained are compared with those of mechanical nonlinear oscillators in order to illustrate their analogy.
Among many important features captured by this nonlinear oscillator equation, the oscillatory behavior of the detonation wave
front can be interpreted as resonant excitation of the chemical energy release.
Received 24 March 1997 / Accepted 7 May 1998 |
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| Keywords: | :Detonation Detonation instability Detonation structure |
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