integration of cfd and low-order models for combustion ... - IWR
integration of cfd and low-order models for combustion ... - IWR
integration of cfd and low-order models for combustion ... - IWR
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|<br />
2.84 x 104<br />
mean momentum flux<br />
2.835<br />
2.83<br />
2.825<br />
2.82<br />
2.815<br />
2.81<br />
1D analysis<br />
CFD result<br />
mean velocity<br />
65<br />
60<br />
55<br />
50<br />
45<br />
40<br />
1D analysis<br />
CFD result<br />
2.805<br />
35<br />
2.8<br />
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2<br />
axial coordinate x(m)<br />
Figure 9. The mean momentum flux, where the solid lines indicate<br />
the result from a one-dimensional analysis <strong>and</strong> dash lines indicate<br />
that from the CFD calculation.<br />
8 x 106<br />
30<br />
25<br />
Figure 12.<br />
20<br />
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22<br />
axial coordinate x(m)<br />
Mean velocity, where the solid lines indicate the result<br />
from a one-dimensional analysis <strong>and</strong> dash lines indicate that from<br />
the CFD calculation.<br />
7<br />
6<br />
1D analysis<br />
CFD result<br />
mean energy flux<br />
5<br />
4<br />
1.8<br />
1.6<br />
3<br />
1.4<br />
2<br />
1.2<br />
1<br />
Figure 10.<br />
1<br />
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2<br />
axial coordinate x(m)<br />
The mean energy flux, where the solid lines indicate the<br />
result from a one-dimensional analysis <strong>and</strong> dash lines indicate that<br />
from the CFD calculation.<br />
| J 1<br />
′<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22<br />
850<br />
800<br />
1D analysis<br />
CFD result<br />
0<br />
−20<br />
750<br />
−40<br />
700<br />
] deg.<br />
−60<br />
mean temperature<br />
650<br />
600<br />
angle [ J 1<br />
′<br />
−80<br />
−100<br />
550<br />
−120<br />
500<br />
−140<br />
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22<br />
450<br />
Figure 11.<br />
400<br />
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22<br />
axial coordinate x(m)<br />
Mean temperature, where the solid lines indicate the<br />
result from a one-dimensional analysis <strong>and</strong> dash lines indicate that<br />
from the CFD calculation.<br />
Figure 13. Magnitude <strong>and</strong> phase <strong>of</strong> the transfer function between<br />
shape factor J 1 <strong>and</strong> air f<strong>low</strong> rate through the atomizer at a<br />
frequency 50 Hz.