Theory of the Fireball
Theory of the Fireball
Theory of the Fireball
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equired mean free path <strong>of</strong> visible lignt at <strong>the</strong> radiating temperature<br />
2<br />
(also in gm/cm ) which in turn determines T~ itself.<br />
8<br />
We take <strong>the</strong> initial conditions from Brode, using his ernes at a<br />
time when <strong>the</strong> inside pressure is 4.1 bars, this being closest to p = 5<br />
a<br />
bars <strong>of</strong> all <strong>the</strong> curves he nas published. This corresponds to a scaled<br />
(1-megaton) time tc = Oo32> sec. At this time, important p'hysical guan-<br />
tit ies are as given in Table VI11 ( dimensions scaled to 1 megaton) o The<br />
last column <strong>of</strong> <strong>the</strong> table is not given by Brode but will be explained in<br />
Sec. 6c. In <strong>the</strong> table, we have defined a quantity proportional to <strong>the</strong><br />
mass,<br />
0<br />
J<br />
where R is measured in hundreds <strong>of</strong> meters. It is interesting that <strong>the</strong> mass<br />
<strong>of</strong> <strong>the</strong> warm layer is much (4.6 times) larger than that <strong>of</strong> <strong>the</strong> iso<strong>the</strong>rmal<br />
sphere. Its volwne is about 2.4 tfmes larger in Brode 's calculations.<br />
Table VIII. Conditions When Cooling Wave Reaches Iso<strong>the</strong>rmal<br />
Sphere, According to Brode<br />
Iso<strong>the</strong>rmal Warm Layer<br />
Sphere Brode Sec. 6c<br />
Outer radius, meters 38.5 517 438<br />
Mean temperature T' 3.0 0.70<br />
1