THE MECHANISM OF THE TRANSITION FROM DEFLAGRATION TO DETONATION IN HIGH EXPLOSIVES
NAVAL ORDNANCE LAB WHITE OAK MD
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Experimental results of the study of spontaneous transition from deflagration to detonation indicate that the approach to the problem can be in two stages the first is the formation of a shock from pressure waves engendered by a confined deflagration, and the second the shock-initiation of detonation. A program for the analytical treatment of the first stage was written for the IBM 704. Two numerical codes have been tested, one based on the so-called q- method and one which avoids amplitude fluctuations inherent in the q-method and thus gives a more realistic representation of a shock wave. Representations of spontaneous shock formation obtained by the two numerical codes and by the analytical treatment are discussed and compared. The numerical methods yield the temperature as a function of time and location during growth of the shock and thus allow a study of simple chemical kinetic models. Introduction of chemical kinetics into the program gives a basis for elucidation of the second stage of the transition problem, namely shock-initiation of detonation.