Theory of the Fireball
Theory of the Fireball
Theory of the Fireball
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which is a pure number, and small: The calculation could be improved by<br />
not neglecting 5 compared with H .<br />
a<br />
According to (6.11) t'ne fireball is used up at <strong>the</strong> time x defined<br />
X<br />
(6.16)<br />
This relation is valid (granted <strong>the</strong> approximations we have made) what-<br />
ever <strong>the</strong> relation between pressure and time, f (x) * This generality is<br />
useful for sea level explosions, where p is only 5 times ambient pressure:<br />
a<br />
The relation between p and t cm <strong>the</strong>n be taken from a machine calculation<br />
( or observation) .<br />
For higher altitude, let us say h > LO b, pa = 5( p /p )1/3 is<br />
1 0<br />
sufficiently above, <strong>the</strong> ambient pressure, pl/po, so that <strong>the</strong> shock is<br />
still strong and we may use<br />
f(x) = x 1.2<br />
Tnen (6.11) becomes<br />
75<br />
r