Civil Engineering Reference
In-Depth Information
1.5
1
0.5
0
0
2
4
6
8
10
12
14
16
s
0
2
−
6
−
0
2
4
6
8
10
12
14
16
s
Figure 4.4
The ratio
ρ/ρ
o
,where
ρ
is the effective density of a fluid of density
ρ
0
in
a cylindrical tube having a circular cross-section, as a function of
s
.
1.5
1
0.5
0
0
2
4
6
8
10
12
14
16
s
′
0
−
1
−
2
−
3
0
2
4
6
8
10
12
14
16
s
′
Figure 4.5
The ratio
ρ/ρ
o
,where
ρ
is the effective density of a fluid of density
ρ
0
,in
a slit, as a function of
s
.
This formulation shows the contribution added to the inertial term by the interactions
with the tube. The effective density
ρ
is represented in Figures 4.4 and 4.5 in the case
of the circular cross-section, and the slit, respectively.
4.3
Thermal effects
The equation of state of air, considered to be an ideal gas, is
P
o
ρ
o
T
o
[
ρ
o
τ
+
T
o
ξ
]
p
=
(4.29)