1434 
The approximations used above are only correct for “small 
compressions", that means for pressures 7? = 500 at. as can be 
derived from the experimental data. But it will be seen that 
these relations are useful for handling the problems which shall 
be investigated. 
For higher pressures (500 at. < 7 ) the calculations are 
more difficult. Based on the theoretical equation of state de- 
rived in Ref. 2 the relation between shockwave velocity D or 
flow velocity u behind the shockfront and the amplitude 7 of 
the shockwave were calculated by G. Burkhardt (Refs. 2 and 5) 
and lator by W. Doering (Ref. 5). These relations are repeated 
in the following table: 
=2e 
Mies hg v D/a, u/a, SER a/a, 
0 15 1.0007 1.000 0 4.54 1.000 
1000 16.6 0.962 1.072 0.042 3.455 1.102 
2000 19 0.93524 1.145 0.078 2.763 1.195 
3000 ere 0.9091 1.206 0,110 2.235 1.286 
5000 29 0.8735 1.322 0.168 1.69 1.430 
7509 39 0.8403 1.447 0.230 1.255 1.597 
10000 51 0.8183 1.564 0.285 0.97 1.769 
TABLE 1: Amplitude and propagation velocity of a shockwave in water, 
as well as temperature T, specific volume v, velocity 
of flow u, compressibility of water and sound velocity a 
of medium behind the shockfront. 
