HAL Id: hal-00644850 https://hal.archives-ouvertes.fr/hal-00644850 Submitted on 25 Nov 2011 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Infrared emission spectroscopy of CO2 at high temperature. Part II: Experimental results and comparisons with spectroscopic databases Sébastien Depraz, Marie-Yvonne Perrin, Philippe Rivière, Anouar Soufiani To cite this version: Sébastien Depraz, Marie-Yvonne Perrin, Philippe Rivière, Anouar Soufiani. Infrared emission spec- troscopy of CO2 at high temperature. Part II: Experimental results and comparisons with spectro- scopic databases. Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, 2011, 113, pp.14-25. 10.1016/j.jqsrt.2011.09.013. hal-00644850
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HAL Id: hal-00644850https://hal.archives-ouvertes.fr/hal-00644850
Submitted on 25 Nov 2011
HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, estdestinée au dépôt et à la diffusion de documentsscientifiques de niveau recherche, publiés ou non,émanant des établissements d’enseignement et derecherche français ou étrangers, des laboratoirespublics ou privés.
Infrared emission spectroscopy of CO2 at hightemperature. Part II: Experimental results and
comparisons with spectroscopic databasesSébastien Depraz, Marie-Yvonne Perrin, Philippe Rivière, Anouar Soufiani
To cite this version:Sébastien Depraz, Marie-Yvonne Perrin, Philippe Rivière, Anouar Soufiani. Infrared emission spec-troscopy of CO2 at high temperature. Part II: Experimental results and comparisons with spectro-scopic databases. Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, 2011, 113,pp.14-25. �10.1016/j.jqsrt.2011.09.013�. �hal-00644850�
1 Temperature and profiles deduced from CO normalized emis-sion spectra with quartz and sapphire tubes at two heightsh above the plasma cavity. CO and CO2 molar fractions arededuced from calculations at local chemical equilibrium. . . . 23
2 Experimental and theoretical line of sight integrated inten-sities at h=6 mm (left) and h=20 mm (right) and differentdistances y from plasma center; quartz tube; 2.7 µm region. . 24
3 Experimental and theoretical line of sight integrated inten-sities at h=6 mm (left) and h=20 mm (right) and differentdistances y from plasma center; sapphire tube; 2.7 µm region. 25
4 Experimental and theoretical line of sight integrated inten-sities at h=6 mm (left) and h=20 mm (right) and for y=0(central chord) and y=5 mm ; sapphire tube ; 4.3 µm region. . 26
5 Experimental (corrected) and theoretical line of sight inte-grated intensities at h=6 mm (left) and h=20 mm (right) andand for y=0 (central chord) and y=5 mm ; sapphire tube ;4.3 µm region. . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
6 Partial intensities on the central chord computed with CDSD-4000 and the temperature profile obtained with a sapphiretube at h=6 mm and h=20 mm. . . . . . . . . . . . . . . . . . 28
7 Comparison between high spectral resolution experimental in-tensities, obtained with a sapphire tube on the central chord ath=20 mm, and CDSD-4000 predictions in four selected spec-tral regions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
8 Pure CO2 absorption coefficient at 1 atm and different tem-peratures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
9 Cumulated distribution function of 12C16O2 line intensities vslower level energy in the two spectral regions and for differenttemperatures. . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
10 Internal partition sum of 12C16O2 according to different calcu-lations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
11 Total band emissivities of pure CO2 at 1 atm as predictedfrom CDSD-4000 and HITELOR in the spectral ranges 1800–2450 cm−1 (upper part) and 2800–4400cm−1 (lower part) fordifferent column lengths. . . . . . . . . . . . . . . . . . . . . . 33
22
1000
2000
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4000
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6000
Tem
pera
ture
(K
)
-20 -10 0 10 20Distance to plasma center (mm)
0
0.2
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0.6
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1
Mol
ar f
ract
ion
CO2
CO
TQuartz tubeh=6 mm
-20 -10 0 10 20Distance to plasma center (mm)
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4000
4500
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Tem
pera
ture
(K
)
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Mol
ar f
ract
ion
CO2
T
CO
Quartz tubeh=20 mm
1000
2000
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4000
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6000
Tem
pera
ture
(K
)
-20 -10 0 10 20Distance to plasma center (mm)
0
0.2
0.4
0.6
0.8
1
Mol
ar f
ract
ion
CO2
CO
T
Sapphire tube
h=6 mm
-20 -10 0 10 20Distance to plasma center (mm)
1000
1500
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3500
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4500
5000
5500
6000
Tem
pera
ture
(K
)
0
0.2
0.4
0.6
0.8
1
Mol
ar f
ract
ion
CO2
T
CO
Sapphire tubeh=20 mm
Figure 1: Temperature profiles deduced from CO normalized emission spectra with quartzand sapphire tubes at two heights h above the plasma cavity. CO and CO2 molar fractionsare deduced from calculations at local chemical equilibrium.
23
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
1
2
3
4
5
6
7
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6mm, y=0 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
10
Inte
nsity
(W
.m-2
.sr-1
(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=0 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=5 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
10
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=5 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=10 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
10
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=10 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
0.5
1
1.5
2
2.5
3
3.5
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=15 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
1
2
3
4
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=15 mm
Figure 2: Experimental and theoretical line of sight integrated intensities at h=6 mm (left)and h=20 mm (right) and different distances y from plasma center; quartz tube; 2.7 µmregion.
24
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
1
2
3
4
5
6
7
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=0 mm
2800 3000 3200 3400 3600 3800σ (cm
-1)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=0 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=5 mm
2800 3000 3200 3400 3600 3800σ (cm
-1)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=5 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
2
4
6
8
10
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=10 mm
2800 3000 3200 3400 3600 3800σ (cm
-1)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=10 mm
2800 3000 3200 3400 3600 3800
σ (cm-1
)
0
1
2
3
4
5
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=6 mm, y=15 mm
2800 3000 3200 3400 3600 3800σ (cm
-1)
0
1
2
3
4
5
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental intensityHITELORCDSD4000
h=20 mm, y=15 mm
Figure 3: Experimental and theoretical line of sight integrated intensities at h=6 mm(left) and h=20 mm (right) and different distances y from plasma center; sapphire tube;2.7 µm region.
25
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
HITELORCDSD4000Experimental
h=6 mm, y=0 mm
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
HITELORCDSD4000Experimental
h=20 mm, y=0 mm
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
50
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
HITELORCDSD4000Experimental
h=6 mm, y=5 mm
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)HITELORCDSD4000Experimental
h=20 mm, y=5 mm
Figure 4: Experimental and theoretical line of sight integrated intensities at h=6 mm (left)and h=20 mm (right) and for y=0 (central chord) and y=5 mm ; sapphire tube ; 4.3 µmregion.
26
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental - correctedHITELORCDSD4000
h=6 mm, y=0 mm
1800 1900 2000 2100 2200 2300 2400 2500σ (cm
-1)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental - correctedHITELORCDSD4000
h=20 mm, y=0 mm
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
50
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
Experimental - correctedHITELORCDSD4000
h=6 mm, y=5 mm
1800 1900 2000 2100 2200 2300 2400σ (cm
-1)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)Experimental - correctedHITELORCDSD4000
h=20 mm, y=5 mm
Figure 5: Experimental (corrected) and theoretical line of sight integrated intensities ath=6 mm (left) and h=20 mm (right) and for y=0 (central chord) and y=5 mm ; sapphiretube ; 4.3 µm region.
27
3000 3500 4000
σ (cm-1
)
0
1
2
3
4
5
6
7
Inte
nsity
(W
.m-2
.sr-1
(cm
-1)-1
)
r=16 mm
12 mm
8 mm
4 and 0 (center)
-20 mm (whole chord)
h=6 mm
1800 1900 2000 2100 2200 2300 2400
σ (cm-1
)
0
10
20
30
40
Inte
nsity
(W
.m-2
.sr-1
(cm
-1)-1
)
r=16 mm
12 mm
8 mm
4 and 0 (center)
-20 mm (whole chord)h=6 mm
3000 3500 4000
σ (cm-1
)
0
1
2
3
4
5
6
7
Inte
nsity
(W
.m-2
.sr-1
(cm
-1)-1
)
r=16 mm
12 mm
8 mm
0 (center)
-20 mm (whole chord)
4 mm
h=20 mm
1800 1900 2000 2100 2200 2300 2400
σ (cm-1
)
0
10
20
30
40In
tens
ity (
W.m
-2.s
r-1(c
m-1
)-1)
r=16 mm
12 mm
4 mm
0 (center)
-20 mm (whole chord)
8 mm
h=20 mm
Figure 6: Partial intensities on the central chord computed with CDSD-4000 and thetemperature profile obtained with a sapphire tube at h=6 mm and h=20 mm.
28
3758 3759 3760 3761 3762 3763 3764
σ (cm-1
)
0
2
4
6
8
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
ExperimentalCDSD-4000
3278 3279 3280 3281 3282
σ (cm-1
)
1.2
1.4
1.6
1.8
2
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
ExperimentalCDSD-4000
2375 2380 2385 2390 2395
σ (cm-1
)
0
10
20
30
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
ExperimentalCDSD-4000
2117 2117.5 2118 2118.5
σ (cm-1
)
15
20
25
Inte
nsity
(W
.m-2
.sr-1
.(cm
-1)-1
)
ExperimentalCDSD-4000 CO
Figure 7: Comparison between high spectral resolution experimental intensities, obtainedwith a sapphire tube on the central chord at h=20 mm, and CDSD-4000 predictions infour selected spectral regions.
29
1800 1900 2000 2100 2200 2300 2400
σ (cm-1
)
0
2
4
6
8
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=1000 K
2800 3000 3200 3400 3600 3800 4000
σ (cm-1
)
0
0.05
0.1
0.15
0.2
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=1000 K
1800 1900 2000 2100 2200 2300 2400
σ (cm-1
)
0
0.5
1
1.5
2
2.5
3
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T =2000 K
2800 3000 3200 3400 3600 3800 4000
σ (cm-1
)
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=2000 K
1800 1900 2000 2100 2200 2300 2400
σ (cm-1
)
0
0.5
1
1.5
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=3000 K
2800 3000 3200 3400 3600 3800 4000
σ (cm-1
)
0
0.01
0.02
0.03
0.04
0.05
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=3000 K
1800 1900 2000 2100 2200 2300 2400
σ (cm-1
)
0
0.2
0.4
0.6
0.8
1
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=4000 K
2800 3000 3200 3400 3600 3800 4000
σ (cm-1
)
0
0.01
0.02
0.03
0.04
Abs
orpt
ion
coef
fici
ent (
cm-1
)
HITELORCDSD4000
T=4000 K
Figure 8: Pure CO2 absorption coefficient at 1 atm and different temperatures.
30
0 5000 10000 15000 20000
Lower level energy (cm-1
)
0
100
200
300
Cum
ulat
ed in
tens
ity (
cm-2
atm
-1)
CDSD4000, Erot
CDSD4000, Evib
CDSD4000, Etot
HITELOR, Erot
HITELOR, Evib
HITELOR, Etot
4.3 µm, 2000K
0 10000 20000
Lower level energy (cm-1
)
0
5
10
15
Cum
ulat
ed in
tens
ity (
cm-2
atm
-1)
CDSD4000, Erot
CDSD4000, Evib
CDSD4000, Etot
HITELOR, Erot
HITELOR, Evib
HITELOR, Etot
2.7 µm, 2000K
0 5000 10000 15000 20000
Lower level energy (cm-1
)
0
50
100
150
200
250
Cum
ulat
ed in
tens
ity (
cm-2
atm
-1)
CDSD4000, Erot
CDSD4000, Evib
CDSD4000, Etot
HITELOR, Erot
HITELOR, Evib
HITELOR, Etot
4.3 µm, 3000K
0 10000 20000 30000
Lower level energy (cm-1
)
0
5
10
15
Cum
ulat
ed in
tens
ity (
cm-2
atm
-1)
CDSD4000, Erot
CDSD4000, Evib
CDSD4000, Etot
HITELOR, Erot
HITELOR, Evib
HITELOR, Etot
2.7 µm, 3000K
0 10000 20000 30000
Lower level energy (cm-1
)
0
50
100
150
Cum
ulat
ed in
tens
ity (
cm-2
atm
-1)
CDSD4000, Erot
CDSD4000, Evib
CDSD4000, Etot
HITELOR, Erot
HITELOR, Evib
HITELOR, Etot
4.3 µm, 4000K
0 10000 20000 30000
Lower level energy (cm-1
)
0
5
10
15
Cum
ulat
ed in
tens
ity (
cm-2
atm
-1)
CDSD4000, Erot
CDSD4000, Evib
CDSD4000, Etot
HITELOR, Erot
HITELOR, Evib
HITELOR, Etot
2.7 µm, 4000K
Figure 9: Cumulated distribution function of 12C16O2 line intensities vs lower level energyin the two spectral regions and for different temperatures.
Figure 10: Internal partition sum of 12C16O2 according to different calculations.
32
1000 2000 3000 4000 5000Temperature (K)
0
0.2
0.4
0.6
0.8
1
Ban
d em
issi
vity
0.1 cm1 cm10 cm100
4.3 µm region
1000 2000 3000 4000 5000Temperature (K)
0.001
0.01
0.1
Ban
d em
issi
vity
0.1 cm1 cm10 cm100
2.7 µm region
Figure 11: Total band emissivities of pure CO2 at 1 atm as predicted from CDSD-4000(dashed lines) and HITELOR (solid lines) in the spectral ranges 1800–2450 cm−1 (upperpart) and 2800–4400cm−1 (lower part) for different column lengths.