Environmental Engineering Reference
In-Depth Information
Because the value of the above square root has nothing to do with pressure, use
B to replace it.
q
u ¼ B
p
¼ BP
n
=
2
P
n
ð
2
:
11
Þ
The linear speed of combustion is a function of pressure (Eq.
2.12
).
p
P
n
B
q
¼ bP
n
=
2
u ¼
ð
2
:
12
Þ
When the reaction is
first order, the linear combustion speed of explosives is
written in Eq.
2.13
.
u ¼ BP
0
:
5
ð
2
:
13
Þ
When the reaction is second order, the linear combustion speed of explosives is
written in Eq.
2.14
.
u ¼ BP
ð
2
:
14
Þ
1, the assumed theory is correct.
To verify the correctness of above theory, experimental data of diethyleneglycol
dinitrate are compared with theory ones. The combustion reaction of diethylene-
glycol dinitrate in nitrogen (1 atm) is below.
If the above index is 0.5
-
C
2
H
4
ONO
2
ð
Þ
¼
2NO
þ
1
:
7CO
þ
1
:
7H
2
O
þ
0
:
3CO
2
þ
0
:
3H
2
The calculated combustion heat of diethyleneglycol dinitrate is 1921.05 J/mol,
and the average heat capacity of products is 1.423 J/mol. In the combustion of
diethyleneglycol dinitrate, the temperature increases
D
T = T
1
T
0
¼
;
1
350 K. The
detonation temperature is T
1
¼
T
0
þ
D
T
¼
þ
¼
;
650 K.
At combustion temperature, the thermal conductivity of reaction products is
k
¼
300
1350
1
10
4
J
cm s
C. The combustion reaction is a decomposition process,
8
:
37
=
which is the
first-order reaction. According to the chemical kinetics, the reaction
speed is Eq.
2.15
.
M
N
Ze
E
=
RT
1
WT
ðÞ
¼
ð
2
:
15
Þ
Here, M is the molecule weight of diethyleneglycol dinitrate; Z is the number of
collisions; and N is Avogadro constant.
