Abstract
We consider a one-dimensional gaseous detonation wave propagating in a channel with a spatially periodic friction factor with the purpose of understanding how non-uniform momentum losses affect the detonation dynamics. The problem is investigated by means of the shock-fitting numerical integration of reactive Euler equations. We examine in detail the detonation velocity oscillations for a range of wavelengths of the variation of the friction factor. It is found that such periodic momentum losses lead to mode locking whereby the oscillations of the detonation velocity are locked into particular simple modes imposed by the variable friction. Outside of the mode locking regions, the dynamics is found to be highly irregular. For such regimes, we estimate the largest Lyapunov exponents of the detonation-velocity signal that points to the presence of friction-driven chaotic solutions.
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