1056 
Integrating we obtain 
1 
y eyly= which becomes 
(2y- 1) (¥+ 1) 
(23) 
yo a for the case of air 
Equation (22) gives 
i 
oR ets or ye : for air (23) 
SES) aes 
Since the blast waves from bomos decay much more rapidly at first tnan pote it follows 
that most of the decay is due to the form of the wave, If the forepart of the wave could be 
flattened far less energy would be lost in tne early stages of the blast. 
do 
Equations a7) (18) an ana (22) may ve used to find 2 as in (1), of they may be 
used to determine an ana aie when oy is known as a function of time. If the velocity of 
or oie ofa erork wave oe be eee the oressure can be calculated. The quantities 
SE an oe tnen give some indication of the thickness cf the wave, 
R 
Exoressing our equations directly in terms of b, and its rate of decay we get 
Jo 2p [2 (2y~ 1) 0, + (y+ 5) 0,2 c,2- - ) c,'] 90, 
go. fo) te et 
OR ty + 1) (b,?= ¢,7) {ty = 1) dy* + 2¢,°} at 
4p 
==) =e 20 = 2 
AG ee ae ee (2) 
au 2 (307+ ob, 4 {2¥d,°- y- 1) cy 
—— - ———_1_-—_}. Se (25) 
OR (yea) oy (bie scr a)! fat R (+ 1)% 
It may be noted that the case of cylinarical waves can be treated in the same manner. 
The equations which result are the same as for the soherical wave except that the coefficient of 
z is only half wnat it is in tne scherical case, 9.3. for a cylindrical wave (24) becomes 
20, [2 (2y- 1) b+ (+5) dy? c,2- - 1) co) aby 
282 5 8) 22S ee ee eet 
re) 2} 
R y+ 1 (b,2- c,) {7 - 1) o,*+ Zick at 
E gi {2y 0,2 
"RO Ge oe 270, - (y- 1) c,*} (26) 
Reference. 
(4) "The Prooagation and Decay cf Blast waves". G.I. Taylor. 
