THE PROPAGATION OF DETONATION-WAVES IN CHANNELS OF VARYING CROSS-SECTION

One-dimensional detonation wave propagation in channels of varying cross-section is reconsidered and studied in detail. Different analytical solutions are given for the case of an accelerated detonation wave in a converging channel and for a decelerated detonation wave in a diverging channel. Separation of the leading shock and the reaction zone in the second case is taken into account. Two- and three-dimensional problems of geometrical detonation wave dynamics can be solved by adapting the well-known approach of Whitham, but Whitham’s method is based on a suitable one-dimensional analytical model. © 1990, Cambridge University Press. All rights reserved.