Theory of the Fireball

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1. INTRODUCTION 2. PHASES IN DETELOPMENT 3. RADIATION FRCM BEHIND THE SHOCK (Stage C I) a. Role of H02 b. Temperature Distribution behind the Shock C. Nean Free Path and Radiating Temperature d. Energy Supply 4. AESORPTION COiEFFICIENTS a. Infrared b. Visible c . Ultraviolet 5 . THE COOLING WAVE a. Theory of Zel'dovich et al. b. Inside Structure of Fireball, Blocking Layer C. Velocity of -Coolin@; Wave d. Adiabatic Expansion after Cooling. Radiating Temperature e Beginning of Strong Cooling Wave f . Maximum Ehission go Weak Cooling Wave 6. EFFECT OF THREE D~ENSIONS a. Initial Conditions and Assumptions b. Shrinkage of Isothemal. Sphere c . The Warm Layer 7. TRANSPARENT FIREl3ALL ( Stage D) REFERENCES 7 3 5 9 i2 17 19 24 27 32 32 34 40 44 44 48 51 55 60 64 68 70 72 77 80 84
Page 1 and 2: , - Ip.L ,. : CIC-14 REPORT COLLECT
Page 3: LA-3064 UC-34, PHYSICS TID-4500 (30
Page 6 and 7: i.e., the part which has not yet be
Page 11 and 12: 1. INTRODUCTION Tile radiation- fro
Page 13 and 14: Much effort has been devoted to the
Page 15 and 16: Magee in Report LA-2000) and will t
Page 17 and 18: toward a .second maximum. This stag
Page 19 and 20: We believe that the theory develope
Page 21 and 22: I . b. Temperature Distribution beh
Page 23 and 24: Table 11. Adiabats ( 'Present" dens
Page 25 and 26: Now the approximate relation betwee
Page 27 and 28: Assume that the mean free path is &
Page 29 and 30: violet, (3.17) is not valid; these
Page 31 and 32: -p-= 1.2 R J 50 t , Because of the
Page 33 and 34: t For p1 = po, T = 0.8, this is 14
Page 35 and 36: where e- is the number of electrons
Page 37 and 38: causes of absorption are the molecu
Page 39 and 40: The concentration of all the absorb
Page 41 and 42: of about 200 from 4000 to 600o0, ab
Page 43 and 44: N, and 0. The Schumann-Runge bands
Page 45 and 46: When this is done in a case of cons
Page 47 and 48: The fundamental statement of 2 is t
Page 49 and 50: varying (increasing) function of T
Page 51 and 52: in the isothem. sphere. For its occ
Page 53 and 54: where p is in bars. Equation (5.15)
Page 55 and 56: smaller than the first term, i.e ,
Page 57 and 58: shock, Eq. (3.15) . Next comes t'ne
Page 59 and 60:
I using (5.25) md y = 1.13 to 1.20.
Page 61 and 62:
where t is in seconds, p in bars, a
Page 63 and 64:
at which u of (5 .IS) becomes large
Page 65 and 66:
Inserting (3.33) for JIJ and changi
Page 67 and 68:
Since p - C, -1 02 9 entirely due t
Page 69 and 70:
f LOG t CALCULATED Fig. 3. The calc
Page 71 and 72:
adiation is essentially the differe
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equired mean free path of visible l
Page 75 and 76:
of radiation inside the sphere. H i
Page 77 and 78:
which is a pure number, and small:
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sphere, its radius R /R and other p
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with C = 14. and find On this basis
Page 83 and 84:
If we assume that the radius Ra of
Page 85 and 86:
due to its bouyancy, and the turbul
Page 87:
-, 18. R. L. Taylor, J. Chem. Phys.
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Theory of the Fireball

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