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
1800
1600
1400
1200
CFD result
with J1 ′
without J1 ′
2.5
2
1000
| T ′ |
800
600
400
| F ′ |
1.5
1
200
0.5
0
0
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
250
200
150
CFD result
with J1 ′
without J1 ′
0
100
−50
angle [ T ′ ] deg.
50
0
−50
−100
angle [ F ′ ] deg.
−100
−150
−150
−200
−200
−250
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
Figure 14. Magnitude and phase of the transfer function between
the temperature 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 J?1 ,
respectively.
Figure 16.
−250
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
shape factor F and air flow rate through the atomizer at a frequency
50 Hz.
450
120
400
CFD result
100
CFD result
with J1 ′
without J1 ′
350
300
with F ′ J2 ′
without F ′ J2 ′
80
250
| T ′ |
200
| u ′ |
60
150
40
100
50
20
0
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
0
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
200
150
150
CFD result
100
CFD result
with J1 ′
100
with F ′ J2 ′
without F ′ J2 ′
without J1 ′
50
angle [ u ′ ] deg.
50
0
−50
−100
−150
angle [ T ′ ] deg.
0
−50
−100
−150
−200
−250
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
Figure 15.
−200
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 J?1 ,
respectively.
Figure 17. Magnitude and phase of the transfer function between
the temperature 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 F@ without and J@2 ,
respectively.