1266 
14. The conditions B may be expressed by the 
following equations: 
eS oe + 3f a (14.1 
Se apa y thea eootiiate 
p= kept (14.3 
where p = density. Equations (14.1) and (14.2) are the 
conservation equations for mass and momentum, respectively. 
(14.3) may be regarded as an empirical equation of state, 
which is correct for adiabatic processes. It is assumed 
that motion is entirely adiabatic so that (14.3) is true 
in both M and M, and that k is the same in both regiona. 
By Riemann's method the equations (14.1) - (14.3) are 
rewritten. 
ale 
ay 
it 
- (c + u) $i, (14.4 
- (c = u) a (14.5 
where P and Q are the Riemann functions, which are defined 
* 
in this report as 
sce c+u (1406 
Q = 2 
y y-2 c-u (14.7 
‘= 
where c at = velocity of sound. (14.8 
The conditions B are now contained in the equations (14.4) 
Say ber 
