Theory of the Fireball
Theory of the Fireball
Theory of the Fireball
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where p is in bars. Equation (5.15) becomes<br />
Teff ,b<br />
= 20,000<br />
ature is higher than Teff,<br />
C. Velocity <strong>of</strong> Cooling Wave<br />
P -0.36<br />
deserve its name only if <strong>the</strong> radiathg temper-<br />
The velocity <strong>of</strong> <strong>the</strong> cooling wave is given by (5.10), where H is<br />
0<br />
<strong>the</strong> enthalpy at <strong>the</strong> point to which <strong>the</strong> cooling wave has proceeded. If<br />
inside this point <strong>the</strong>re is a noticeable flaw <strong>of</strong> radiation, Jo, (5.10)<br />
should be generalized to<br />
5. -<br />
U= Ho - H(T1)<br />
Usually, <strong>the</strong> main dependence on <strong>the</strong> internal conditions<br />
<strong>the</strong>. effect <strong>of</strong> Jo being less important .<br />
is through Ho, f<br />
As H increases, i.e.,<br />
0<br />
i<br />
as <strong>the</strong> wave progresses more into <strong>the</strong> interior,<br />
<strong>the</strong> velocity <strong>of</strong> <strong>the</strong> wave will decrease.<br />
<strong>the</strong> cooling wave penetrates <strong>the</strong> iso<strong>the</strong>rmal<br />
in that sphere and Jo = 0. We now use <strong>the</strong><br />
<strong>the</strong> emission <strong>of</strong> radiation at <strong>the</strong> radiating<br />
The limit will be reached when<br />
sphere; <strong>the</strong>n Ho is<br />
black body formula<br />
surface T1, (3.14)<br />
<strong>the</strong> enthalpy<br />
c
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