254 
Sec. 20 =43- 
Finally, 
| x dP) hvCy 
iT] 
—_ 
1 
sl 
Ca 
2 
MN 
ra 
8 
< 
+ 
<4 
DI 
4 
a 
ae) 
Au) 
W 
> 
so that 
2 y ‘ap hvC,, 
dvfn x[hC, + vh'T (aP/at),, ] 
Eq. 
ax. 
125) ta 
(125) 
(126) 
In all these expressions C, and Y should be considered as functions of x 
with S constant. The quantities (aP/av)p and (aP/aT)., are given by the 
expressions 
nRT 
e een, E+ px) = -B (F495 x) 
& = oR (F+xtr'h'/h) ; 
iit hee a 
in which h' = ah/at, F' = ar/ax. 
(127) 
(128) 
The above equations give U and Pz as funotions of x, so that Ps 
can be plotted against - The intersection of this curve with the corres- 
ponding one for the shock wave gives the value of BG (and Ps ) expected. 
ce Use of a special equation of state. The equation of state used 
in Sec. 8 is a special case of the above general form. 
Py = nRT (1+ xe 0X) 
where 22 
K/vT™ , of = 0.25, COs, 
ADS F Tene oh a 
ul 
Fi se bx (1+ @ x), hn' = -ah/t 
and (=) sede (1+ 2x0 BX + Bx? oP *) = 
AV Jen vF 
(129) 
(150) 
(151) 
