492 
calculations by the two different theories are thus based upon the same 
determination of the thermodynamic properties of the explosion products, 
The theoretical predictions by the similarity restraint propagation theory 
were obtained by the use of the tabulated integrals of the propagation 
equation, Eqe B.2h.22/ The theoretical results have been expressed in the 
English system of units that is commonly employed to record experimental 
results, The shock-wave energy E is the energy flux at distance R 
through unit area. In accordance with principles of similitude, the dis- 
tance R, impulse I, and energy E, are reduced by the cube root of the 
charge weight. The experimental results for spherical TNT charges and 
cylindrical loose Tetryl charges were obtained at the Underwater Explosives 
Research Laboratory, Woods Hole, Mass., and are cited by Cole .38/ The 
experimental results were fitted to empirical expressions of the form 
P, =k (wh/3 7a) % A 
1/3 = 1 (wh/3fayP (10,1) 
B/wi/3 = m (w/3/p)¥ , 
where k, 1, m, OC, - » and &, are empirical constants and where the dis- 
tance and time scales have been reduced, in accordance with principles of 
similitude, by the cube root of the charge weight, W. These relations have 
been used for the calculation of the experimental values given in Table 10.1. 
The data of Table 10.1 are also shown in Figures 10.2 to 10.4. 
In each of the figures, the function plotted as the ordinate has been 
R. B. Cole, loc. cit., p. 241. 
101 
