Stability of a detonation wave. (English) Zbl 0631.76070

Hall, F. S.; Ludford, G. S. S.

Physica D 28, 1-17 (1987).

We derive and analyze a generalization of the square-wave model for detonation. In the square-wave model, it is assumed that each particle reacts instantaneously, after a state-dependent induction time. All of the heat release takes place in an instantaneous reaction, and absolutely no heat is released in the induction zone. In the generalization of the square-wave model, it is not assumed that all of the heat is released instantaneously, but is released gradually. From this generalized model, we are able to recover the square-wave model by performing an appropriate limiting process. The most important result coming from this generalized model is the existence of a definite value of a parameter, which determines a stability boundary.

MSC:

76L05	Shock waves and blast waves in fluid mechanics
80A25	Combustion
76E30	Nonlinear effects in hydrodynamic stability

Keywords:

square-wave model for detonation; state-dependent induction time

References:

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[5]	Hall, F. S., Solidification in a Rotating Magnetic Field and Stability of a Detonation Wave, (Ph.D. Thesis (January 1987), Cornell University: Cornell University Ithaca, New York)