1555 
which develops when we include the sharpening effects of finite 
amplitude is illustrated schematically in Figure 16. The initial, 
steep fronted shock has a peak pressure Tas in the course of 
propagation, viscous effects would produce the rounding and 
lower peak value as shown. Finite amplitude effects would, in 
turn, sharpen the front of this rounded wave without affecting 
the resulting peak pressure (to a first approximation). The 
final wave in which viscous and finite amplitude effects have 
been superposed has a lower value of We as shown in Figure 16. 
Thus we can set a lower bound to the amplitude parameter 
TT m by equating it to the actual peak pressure as given by the 
similarity curve (equation (104)) for various values of R. In 
the calculations to peerage below, we shall compute the upper 
and lower limits of the expected energy dissipation in accord- 
ance with the above methods of selecting Ue - Substituting the 
appropriate numbers into equation (138): 
He =) ster Te we 
ae 9.17 (10°) R°TT, inch.1b./ft. (139) 
where R and X% are in ft. and Im in 1b/in®. In equation 
(139) X is obtained as a function of R by use of Figure 10. 
The results of numerical integration of (139) for various cases 
are given in Table III, where we have calculated Me. (the 
viscous dissipation) over the interval wi/>/R = 0.0053 to w/3/p 
= 0.00022 for charge sizes of 0.5, 8, and 300 lb. 
-19~ 
