10.08.2013 Views

Theory of the Fireball

Theory of the Fireball

Theory of the Fireball

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!