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0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 1 0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 10 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 10 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 1
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2Ur1
r22X
1
1
X
U
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-
-
-
-
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-
-
-
-
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-
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
*
CC0 1C
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c
c0
1cII
mix
concentrat
ion
time
I
f(c)
-
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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
fuel concentration
reactionrate
Magnussen
PaSR
PaSR
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0 00 00 00 01 11 11 11 10 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1I
II
nn
n
n
x
up
2
4
3
1
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-
-
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-
i
i
x
vertex i
base i
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21
U U1 2
Ud
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0.5x0.5mm
0.5x1.0mm
1.0x0.5mm
1.0x1.0mm
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
x 103
0
1
2
3
4
5
6
time (s)
2D, 50 bar, 800 K, 6.0 mg NHeptane
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0 0.0005 0.001
Time (s)
0
2000
4000
6000
8000
10000
Relativevelocity(cm/s)
r0=1.0mu, dr=1.0mu
r0=0.01mu, dr=1.0mm
r0=1.0mu, dr=0.5mm
r0=0.01mu, dr=0.5mm
No interpolation
0 0.0005 0.001
Time (s)
0
1
2
3
4
5
Leadingdropletposition(c
m)
r0=1.0mu, dr=1.0mm
r0=0.01mu, dr=1.0mm
r0=1.0mu, dr=0.5mm
r0=0.01mu, dr=0.5mm
No interpolation
0 0.0005 0.001
Time (s)
0
2000
4000
6000
8000
10000
Relativevelocity(cm/s)
r0=1.0mu, dr=1.0mm
r0=0.01mu, dr=1.0mm
r0=1.0mu, dr=0.5mm
r0=0.01mu, dr=0.5mm
Interpolation
0 0.0005 0.001
Time (s)
0
1
2
3
4
5
Leadingdropletposition(cm)
r0=1.0mu, dr=1.0mm
r0=0.01mu, dr=1.0mm
r0=1.0mu, dr=0.5mm
r0=0.01mu, dr=0.5mm
Interpolation
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-
-
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
x 103
0
1
2
3
4
5
6
7
8
Time (s)
VaporPenetration,
10%m
ass.
(cm)
800 K, 50 bar, NHeptane 6.0 mg, dr*dz = 0.5 mm * 1.0 mm
tkei= 10, scli= 0.01tkei= 10, scli= 0.1tkei= 10, scli=1.0tkei= 1000, scli= 0.01tkei= 1000, scli= 0.1tkei= 1000, scli=1.0tkei=100000, scli= 0.01tkei=100000, scli= 0.1tkei=100000, scli=1.0
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3
1 2
4
I
II
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1 2i
j
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