443 
by the same parameter 7 as is the peak pressure Pme in the 
peak approximation I, is equal to Po It is interesting to 
notice that I, is conserved, that is, it is unaffected by dissi- 
pation at the front. The latter statement holds not asymptotically, 
but can be proved to be true at any distance R fromthe charge. 
Another important quantity characterizing the initial pulse 
is the total energy flux Ee at a distance R fromthe charge. Quite 
generally, the energy current density at a point in the water ae 
The total energy flux through the sphere R is therefore given by 
~ 
E, = 40 R* | pudar. oe 
t 
At large distances, yu = Q / €5» and the theory of propagation gives 
pee Ne (6.14) 
f Gi YG(TIAY , ; 
G 
With the use of the asymptotic relations, Eq. 6.2, we obtain 
The asymptotic energy flux again depends upon the properties of the 
explosive only through the single parameter fC =, which also deter- 
mines the peak pressure and momentum of the wave. We remark that the 
energy Ee is not conserved, since it contains the factor x which de- 
creases monotonically with increasing distance from the charge. 
56 
