Goranson equation

Several methods of calculating the detonation pressure based on aquarium test data are cited in the literature. One method uses the Goranson equation. This calculation is described below ... 

If the CJ point is not reached, i.e., there is no marked change in the slope of the curve, then the calculation of the detonation parameters is based on the extrapolation of the shock wave velocity to the zero distance (initial shock wave velocity) and consequent calculation of the corresponding mass velocity and pressure, applying the adiabatic shock equation and Goranson equation (the calculation procedure is similar to the one used in the flying plate test). 

Tables 2.1 and 2.2 show that theory enables detonation velocities to be calculated in close agreement with those observed experimentally. This, unfortunately, is not a critical test of the theory as velocities when calculated are rather insensitive to the nature of the equation of state used. A better test would be to calculate the peak pressures, densities and temperatures encountered in detonation, and compare these with experimental results. The major difficulties here are experimental. Attempts to measure temperatures in the detonation zone have not been very successful, but better results have been obtained in the measurement of densities and pressures. Schall introduced density measurement by very short X-ray flash radiography and showed that TNT at an initial density of 1 -50 increased 22% in density in the detonation wave. More recently detonation pressures have been measured by Duff and Houston using a method (introduced by Goranson) in which the pressure is deduced from the velocity imparted to a metal plate placed at the end of the column of explosive. Using this method, for example, Deal obtains the detonation pressures for some military explosives recorded in Table 2.3. More...

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