Environmental Engineering Reference
In-Depth Information
I
S
¼
Z
s
ð
:
Þ
i ¼
Pd
2
50
c pulse is calculated.
Figure
2.21
assumes that the detonation is in one dimension; the explosive is
closely contacted with the target; and the target is an absolute rigid body.
Figure
2.21
shows the pressure affecting on the target According to one-
dimensional isentropic gas dynamics, the function of pressure affecting on the target
from the detonation products is Eq.
2.51
.
Once pressure is known, speci
3
64
27
P
2
h
d
P ¼
ð
2
:
51
Þ
s
Here, h is the length of the packed explosive.
When the detonation ends,
s
¼ h
=
D and the pressure is in Eq.
2.52
.
P ¼
64
=
27P
2
ð
2
:
52
Þ
The pressure on the target is 64/27 times of detonation pressure. The pressure on
the target comes from the pressure of products, and the pressure, which is produced
by moving/transportation of products with velocity
u
2
. The target blocks the
moving or transportation, and the shock waves are re
fl
ected, which gives the target
large mobile pressure.
When
27P
2
, it shows that when the time is four times of
explosive detonation, the pressure on the target is only 1/27 of detonation ending.
The pressure decay of detonation is very fast, and the decay curve is in Fig.
2.21
.
If the pressure expression (Eq.
2.51
) is substituted into the integration (Eq.
2.49
),
the below equation is obtained.
s
¼
4h
=
D
;
P ¼
1
=