Environmental Engineering Reference
In-Depth Information
R ¼
1 p
a
¼
1
q
a
¼
1
ð
2
:
66
Þ
The super pressure of air shock waves, packed radius, packed density, and
detonation heat of explosives are displayed below, separately.
D
p ¼
D
P
p
a
q
0
¼
q
0
q
a
r
R
r ¼
Q
v
p
a
=q
a
Q
v
¼
ð
2
:
67
Þ
All these are ratio without any unit. Now it
'
s time to infer and prove the det-
onation heat.
Q
v
R
a
p
a
q
a
Q
v
¼
ð
2
:
68
Þ
The denominator in Eq.
2.68
is the product of unit physical quantities R, P
a
, and
ˁ
a
after potential operations to get the values of
. If the dimension of
length is L, mass is M, time is T, the dimensions of Q
v
;
R
;
P
a
, and
ʱ
,
ʲ
, and
ʳ
q
a
are as in below
equations separately.
Q½
¼L
2
T
2
;
½
¼L
;
½p
a
¼ML
1
T
2
;
½
q
a
¼ML
3
ð
2
:
69
Þ
Equation
2.68
becomes
2.70
.
Þ
b
ð
ML
3
Þ
c
¼ L
ab
3
c
M
bþc
T
2
b
L
2
T
2
¼ L
a
ð
ML
1
T
2
ð
2
:
70
Þ
Compare the powers of L, M, and T,so
L
:
2
¼
a b
3
c
M
:
0
¼
b þ c
