integration of cfd and low-order models for combustion ... - IWR

0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
35
30
25
CFD result
with F ′ J2 ′
without F ′ J2 ′
20
| u ′ |
15
10
5
0
140
120
100
CFD result
with F ′ J2 ′
without F ′ J2 ′
angle [ u ′ ] deg.
80
60
40
20
2.255 x 105 p 0
( x=0 ) Pa
0
−20
2.25
Figure 18.
−40
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
Magnitude and phase of the transfer function between
the velocity and air flow rate through the atomizer at a frequency
50 Hz, where the solid lines indicate the result from the CFD
calculation. The dash lines and dotted-dash lines indicate the
results from one-dimensional analysis with and without F@ and J@2 ,
2.25
respectively.
2.255 x 105 p 0
( x=0 ) Pa
2.245
2.315
2.295
2.275
1.124
1.123
1.122
1.121
1.12
1.69
1.68
F( x 1
, t )
F( x 2
, t )
F( x 3
, t )
2.245
0.78
0.76
0.74
0.72
0.7
1.25
J 1
( x 1
, t )
J 1
( x 2
, t )
1.67
1.66
1.65
0.15 0.16 0.17 0.18 0.19 0.2 0.21
Figure 20.
Sinusoidal changes of the total pressure in the
atomizer air inlet lead to oscillations in the non-dimensional shape
factor F at x 1 A 0B 01m, x 2 A 0B 128m and x 3 A 0B 2m, respectively.
1.24
1.23
1.22
1.25
1.24
1.23
1.22
J 1
( x 3
, t )
1.21
0.15 0.16 0.17 0.18 0.19 0.2 0.21
Figure 19. Sinusoidal changes of the total pressure in the
atomizer air inlet lead to oscillations in the non-dimensional shape
factor J 1 at x 1 A 0B 01m, x 2 A 0B 128m and x 3 A 0B 2m, respectively.