1552 
Integrating equation (131) with respect to u; and noting that 
Oe Ga Gk 4 
wh | exp Curd, 
se soa (132) 
a eee the variable of integration in (132) by setting 
y” = 2022, we have from ope (128) and (129): 
[re a exp Cy) dy 
(133) 
Adopting the notation of ic 8with & = sAa 5 
0 
[ewe = See |). («tz) | (134) 
: a 
ro) 
13.2 The total energy flow through a spherical surface of 
radius R surrounding the charge would then be given by 
ER) ke <a. (fa oles 2) fe 2: («z) | 
where vik is an amplitude parameter, which at small values of 
(135) 
a is essentially the peak pressure of the shock wave. 
Thus if we consider an ideal case in which finite 
amplitude effects are absent, and changes in shape of the shock 
wave are due only to viscous attenuation, the dissipation 
parameter AC is zero at some initial low value of the range 
denoted by R, where the rise time is assumed negligibly small, 
and then increases with R in the manner; 
ee ae 
Scones 
(136) 
