Abstract

This paper studied the feasibility of the propagation of a steady detonation wave in rough tubes, based on the unsteady quasi-one-dimensional reactive Euler equa­tions with frictional drag. The analysis showed that a competition between the rate of the chemical energy release and the rate of energy dissipation induced by friction drives a detonation in general towards instability. A steady wave solution can exist only when the unsteady downstream flow matches the upstream flow at the sonic locus where this energy rate competition is balanced. This criterion can be satisfied in the presence of low frictional drag. For large frictional drag, the competing effect of the chemical energy release and the momentum loss results in an oscillatory detonation and a steady wave solution does not exist.

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