Reaction Rate Law for Emulsion Explosives as a Function of Cell and Microballoon Size

The ability to predict the performance of an explosive relies upon having a Reaction Rate Law and knowing its functional dependence upon various parameters of the explosive. In particular, emulsion explosives have a matrix cell size and may be sensitized with glass or plastic microballoons. The cell size dependence should. be very nearly the spherical grain burning dependence upon web that appears in the reaction rate laws for ball gun powder. The dependence of the reaction rate law upon the parameters of the sensitizing microballoons has been explored using hydrocode analysis of the pressure field produced by the collapse of a microballoon. This pressure field provides an increase in pressure in the vicinity of the microballoon which, in turn, increases the rate of reaction within this field and provides the energy release that must be achieved in order to have a steady state detonation for use as a blasting agent. Hydrocode analysis allows the determination of an approximate functional form for the reaction rate law which shows the dependence upon the size, type, and quantity of microballoons. This presentation includes the theoretical background and the determined functional form of the reaction rate law.