5.9 The Temperature
The temperature T at any point is related to the pressure and density by the relation,
p ¼ ρRT,
hence,
T
T 0
¼
pρ 0
p 0 ρ
¼
p
p 0 ψ
¼
1
γB
R
À3 E 0 f
p 0 ψ
:
ð5:26Þ
5.10 The Pressure-Time Relationship for a Fixed Point
Let us consider a particular radius R 0 and let us assume that the shock front passes
over R 0 at time t 0 . If p 1 is the pressure as the shock front passes over R 0 , then,
0
20 40
60 80 100 120 140 160 180 200 220 240 260 280 300
0
2
4
6
8
10
12
14
16
18
20
metres
Pressure in Atmospheres
Fig. 5.4 Variation of pressure with distance from the centre at the instant when the shock front has
expanded to a radius of 200 m. (A point source explosion with energy equivalent to 20 kTons of
TNT is assumed and γ ¼ 1.4)
5.10 The Pressure-Time Relationship for a Fixed Point
233
The temperature T at any point is related to the pressure and density by the relation,
p ¼ ρRT,
hence,
T
T 0
¼
pρ 0
p 0 ρ
¼
p
p 0 ψ
¼
1
γB
R
À3 E 0 f
p 0 ψ
:
ð5:26Þ
5.10 The Pressure-Time Relationship for a Fixed Point
Let us consider a particular radius R 0 and let us assume that the shock front passes
over R 0 at time t 0 . If p 1 is the pressure as the shock front passes over R 0 , then,
0
20 40
60 80 100 120 140 160 180 200 220 240 260 280 300
0
2
4
6
8
10
12
14
16
18
20
metres
Pressure in Atmospheres
Fig. 5.4 Variation of pressure with distance from the centre at the instant when the shock front has
expanded to a radius of 200 m. (A point source explosion with energy equivalent to 20 kTons of
TNT is assumed and γ ¼ 1.4)
5.10 The Pressure-Time Relationship for a Fixed Point
233