The tau-leap method for simulating stochastic kinetic models
Kinetic Mechanism Development for Hydrocarbons …yju/1st-workshop summary and...
Transcript of Kinetic Mechanism Development for Hydrocarbons …yju/1st-workshop summary and...
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Kinetic Mechanism Development for
Hydrocarbons and Oxygenated Fuels
Dr. Henry Curran and Dr. Philippe Dagaut
Combustion Chemistry Centre, NUI Galway, Ireland
CNRS Orleans, France
Lecture
1st Workshop on Flame Chemistry July 28th, 2012
Future HC fuels - many sources
Some petroleum will still be available
Oil sands, oil shale
Coal-to-liquids
Fischer – Tropsch
Natural gas
Hydrogen
Bio-derived fuels
Ethanol, butanol, algae
Biodiesel from vegetable and animal oils
Chemical kinetics to understand and simulate
complex behaviour (ignition, NTC, cool flames…)
reactivity (extent of conversion, heat release)
product / pollutant formation 2
0.0 0.1 0.2 0.3 0.4 0.50
5
10
15
20
25P
erc
en
tag
e o
f fu
el
ca
rbo
n
co
nv
ert
ed
to
so
ot
pre
cu
rso
rs
Fraction of oxygen in fuel by mass
MB
DMM
TPGME
Ethanol
Methanol
DME
Dibuthylmaleate
How well an oxygenated fuel works depends on its
molecular structure
Miyamoto et al. Paper No. SAE 980506 (1998).
Westbrook et al. J. Phys. Chem. A (2006) 110: 6912–6922.
Reference fuel mixed with:
3
Oxygenated fuels
Alcohols (methanol, ethanol, propanol, butanol)
Ethers (DME, DEE, EME, MTBE, ETBE)
Esters (methyl and ethyl esters)
Ketones (acetone, EMK, DEK)
Furans (methyl furan, di-methyl furan)
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Fuel
Ṙ RO2 smaller molecules β-scission
High temperature
+ O2
QOOH chain
branching + O2
Intermediate temperature
Low temperature
olefins,
cyclic ethers,
β-scission
+ O2
General reaction scheme
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∙
∙
Fuel decomposition reactions
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5.0 5.5 6.0 6.5 7.0 7.5
100
1000 iso -propanol
n -propanolIg
nitio
n d
ela
y t
ime
(s)
104 K / T
Propanol isomers: Comparison of reactivity
0.5% fuel, 2.25% O2, f = 1.0, P = 1 atm
Johnson et al. Energy & Fuels (2009) 23 5886–5898.
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Alcohol molecular elimination
k = 3.52 x 1013 0. 67300. s-1
k = 2.11 x 1014 0. 67300. s-1
Tsang, W. Int. J. Chem. Kinet. (1976) 8: 173–192.
n-propanol propene + water
+ OHH
C OH
C
H3C
H
H
H
H
iso-propanol propene + water
+ OHH
C OH
C
H
H
H
H3C
H
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Water elimination is much more important for iso-
propanol
H3C CH2 CH2 OH
(nC3H7OH)
H3C CH CH2 + H2O
(29%)
CH2 OHCHH3COH (10%)
H (3%)(2C3H6OH)
(13%)
OH+ H3C CH CH2
(5%)
CH3 + H2C CH2 OH
+
(18.5%)
(3C3H6OH)CH2 OHCH2H2C
H2C OHH2C CH2
OH (7.6%)
H (10.9%)
CH OHCHH3C(1C3H6OH)
(14%)
+
H (7.8%)OH (4.7%)
CHH2C OH CH3
-H (1.5%)
H3C CH2 CH2 O(nC3H7O)
0.5% n-propanol
f = 1.0, T = 1600 K
30% fuel consumed
(iC3H7OH)
H3C CH CH2 + H2O
(63%)
OHCHH3C
CH2H (10%)
OH (5.2%)(iC3H6OH)
(11.5%)
OH+ H3C CH CH2
(5.6%)
CH3 + H3C CH OH
+
(7.2%)
(tC3H6OH)
C OHH3C
CH3
H3C C CH3
O
OH (5.8%)
H (7.7%)OHCH
CH3
H3C
O (1.6%)
H2C CH OH + CH3
(5.5%)
H
H2C C OH
CH3
H +
(5.6%)
(iC3H5OH)(C2H3OH) (sC2H4OH)
(C3H6) (C3H6) (CH3COCH3)
0.5% iso-propanol
f = 1.0, T = 1600 K
30% fuel consumed
Johnson et al. Energy & Fuels (2009) 23: 5886–5898.
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Fuel
Ṙ RO2 smaller molecules β-scission
High temperature
+ O2
QOOH chain
branching + O2
Intermediate temperature
Low temperature
olefins,
cyclic ethers,
β-scission
+ O2
General reaction scheme
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∙
∙
Sub-mechanism
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Reactivity of ethers ● 1% H2, 1% O2 in Ar, p5 = 1.4–2.6 atm
○ 0.1% iso-C4H8
■ 0.1% MTBE
□ 0.1% ETBE
▲ 0.1% DEE
△ 0.1% EME
Yasunaga et al. Comb. Flame (2011) 158: 1032–1036.
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Ether molecular elimination
k = 1.70 x 1014 0. 60800. s-1
k = 1.70 x 1014 0. 60600. s-1
MP4/cc-pVTZ//MP2/cc-pVTZ level of theory with zero point corrections
MTBE isobutene + methanol
+C O
C
H
H
H3C
H3C
H
CH3
H3C OH
C O
C
H
HH
CH2 CH3
H3C
H3C +
ETBE isobutene + ethanol
H3C CH2 OH
Yasunaga et al. Comb. Flame (2011) 158: 1032–1036.
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Ether molecular elimination
k = 5.0 x 1013 0. 63400. s-1
k = 5.0 x 1013 0. 65200. s-1
MP4/cc-pVTZ//MP2/cc-pVTZ level of theory with zero point corrections
+
DEE ethylene + ethanol
H2C CH2O CH2H2C
C HH
H
CH3 H3C CH2 OH
H3
C O CH2
C CH
HH
H3C
H3C+
ETBE tert-butanol + ethylene
H2C CH2C OH
H3C
C
H3C
H3
+
EME ethylene + methanol
H2C CH2 C OH
H
H
H
O CH3H2C
C HH
H
Yasunaga et al. Comb. Flame (2011) 158: 1032–1036.
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Ethylene is very fast to ignite
6.0 6.5 7.0 7.5 8.0 8.5 9.010
1
102
103
104
105
/ s
104 K / T
C2H
4
C3H
6
i-C4H
8
C2H
6
C3H
8
i-C4H
10
1700 1600 1500 1400 1300 1200 1100
1.0% fuel, f = 1.0
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Fuel
Ṙ RO2 smaller molecules β-scission
High temperature
+ O2
QOOH chain
branching + O2
Intermediate temperature
Low temperature
olefins,
cyclic ethers,
β-scission
+ O2
General reaction scheme
H-atom abstraction
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∙
∙
H-atom abstraction reactions
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H3C CH
3
O
C
CH3CO CH
3
CO CH3
C2H
6
CH3COCH
2
CH3COCH
2
CH3COCH
2 CH4
CH3 CH
2CO
C2H
6
+
+
+ H2O
17% (f = 0.5)17% (f = 1.0)17% (f = 2.0)
+ H2
26% (f = 0.5)14% (f = 1.0)8% (f = 2.0)
+ OH
+ H
++ CH3
4% (f = 0.5)5% (f = 1.0)5% (f = 2.0)
53% (f = 0.5)64% (f = 1.0)70% (f = 2.0)
+
Acetone: Low p, High T
1.25% fuel, 22% fuel conversion, T = 1400 K, p = 1 atm
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1 2 3 4 5
1E11
1E12
k (
cm
3 m
ol-1
s-1)
1000 K / T
This study
Gierczak et al. 03 (PLIF)
Wollenhaupt et al. 00 (PLIF)
Yamada et al. 03 (PLIF)
Vasudevan et al. 05
CH3COCH3 + OH = CH3COCH2 + H2O
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CH3OCH3 + OH = CH3OCH2 + H2O
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5
1E12
1E13
k (
cm
3 m
ol-1
s-1)
1000 K / T
Curran et al. 00
Ogura et al. 07
Bonard et al. 02
Tranter/Walker 01
Atkinson 97
Arif et al. 97
Mellouki et al. 95
Nelson et al. 90
Wallington et al. 88
Tully/Droege 87
Perry et al. 77
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0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5
1E12
1E13
k (
cm
3 m
ol-1
s-1)
1000 K / T
Cook et al. 09
Curran et al. 00
Ogura et al. 07
Bonard et al. 02
Tranter/Walker 01
Atkinson 97
Arif et al. 97
Mellouki et al. 95
Nelson et al. 90
Wallington et al. 88
Tully/Droege 87
Perry et al. 77
CH3OCH3 + OH = CH3OCH2 + H2O
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H-atom Abstraction
Ethers + OH
'
' '
'
DME EME iPME
n-Butanol + OH/HO2
C-W. Zhou, J. M. Simmie, H. J. Curran. Combust. & Flame, 2011 158 726−731.
C-W. Zhou, J. M. Simmie, H. J. Curran. Int. J. Chem. Kinet., 2012 44 155−164.
C-W. Zhou, J.M. Simmie, H.J. Curran
Phys. Chem. Chem. Phys. 2010 12 7221−7233.
n-Butanol + ĊH3 (Imperial College London: Prof. Alex Taylor )
D. Katsikadakos, C-W. Zhou, J. M. Simmie, H. J. Curran, P.A. Hunt,
Y. Hardalupas, A.M.K.P. Taylor. Proc. Comb. Inst., 2012. Paper 4D03 Thursday 2nd August.
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H-atom Abstraction
' '
'
'
DMK EMK iPMK
Ketones + OH
C-W. Zhou, J. M. Simmie, H. J. Curran. Phys. Chem. Chem. Phys. 2011 13 11175−11192.
iso-Butanol decomposition and related (CH3)2ĊH + ĊH2OH
reaction (Argonne National Laboratory: Dr. Stephen Klippenstein)
'
+
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C-W. Zhou, S. J. Klippenstein, J. M. Simmie, H. J. Curran
Proc. Comb. Inst., 2012 in press
Paper : 4D05 Thursday 2nd August
CH3OH + HO2CH2OH + H2O2
0.5 1.0 1.5 2.04
6
8
10
122000 1000 667 500
T / K
log (
k /
cm
3m
ol-1
s-1)
1000 K / T
Zhou
Klippenstein
Curran
Li
A n E
Zhou 6.24E-05 4.89 1.05E+04
Klippenstein 2.28E-05 5.06 1.02E+04
Curran 1.08E+04 2.55 1.05E+04
Li 3.98E+13 0.00 1.94E+04
--- in cm3, mol, s, cal units
)R/exp( TEATk n
Klippenstein, S J.; Harding, L B.; Davis, M J. et al. Proc. Comb. Inst. 2011 33 351−358. Li, J.; Zhao, Z.; Kazakov, A.; Chaos, M.; Dryer, F L. et al. Int. J. Chem. Kinet. 2007 39 109−136.
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Acetone: α' hydrogen reactivity
TS1a
TS2a RC1a
DMK + OH RC1a
CH3COCH2 + H2O
0.0
TS2a
TS1a
-4.5
2.3
3.4
-26.2
-22.0PC1a
in kcal/mol
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Acetone: α' hydrogen reactivity
0.5 1.0 1.5 2.0
1E11
1E12
2000 1000 667 500
T / K
k /
cm
3 m
ol-1
s-1
1000 K / T
Outofplane
Inplane
500 1000 1500 2000
0.2
0.4
0.6
0.8
1.0
Bra
nc
hin
g R
ati
o
T / K
Outofplane
Inplane
∆ECT
= 2.0 kcal/mol
C C
O
H
H
H
H
H
H
∆ECT
= 0.0 kcal/mol
Electron delocalization from π(CO) to σ*(CHin) and σ*(CHout) is different
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α' hydrogen reactivity in DME
∆ECT
= 4.9 kcal/mol
0.5 1.0 1.5 2.0
1E11
1E12
1E13
2000 1000 667 500
T / K
k /
cm
3 m
ol-1
s-1
1000 K / T
Outofplane
Inplane
500 1000 1500 2000
0.2
0.4
0.6
0.8
1.0
Bra
nc
hin
g R
ati
o
T / K
Outofplane
Inplane
CO
CH
H
H
H
H
H
∆ECT
= 1.7 kcal/mol
Electron delocalization from oxygen lone pairs to σ*(CHout) weaken the BDE of out-of-plane CH bond by 5.0 kcal/mol.
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α' Reactivity Compared to Alkanes
Ethers
Oxygen lone pairs accelerate reactivity of ’ hydrogen compared to alkane
Growing size of the -side has no influence on reactivity of ’ hydrogen atoms
Ketones
’ H-atom is less reactive than primary H-atom in alkanes
Growing size of the -side will accelerate reactivity of ’ H-atoms
0.5 1.0 1.5 2.0
1E11
1E12
1E13
2000 1000 667 500
T / K
k /
cm
3 m
ol-1
s-1
1000 K / T
Ketones
Ethers
Michael et al.
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Comparative Reactivity
0.5 1.0 1.5 2.0
1E11
1E12
1E13
2000 1000 667 500
T / K
k /
cm
3 m
ol-1
s-1
1000 K / T
Ketones
Ethers
Michael et al.
1 2 3 4 5
1E10
1E11
1E12
1E13
k (
cm
3 m
ol-1
s-1)
1000 K / T
Acetone
DME
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General reaction scheme
Fuel
Ṙ RO2 Smaller molecules β-scission
High temperature
+ O2
QOOH + O2
Intermediate temperature
Low temperature
olefins,
cyclic ethers,
β-scission
+ O2
H-atom abstraction
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∙
∙
Low-temperature chemistry
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Alcohol Oxidation
O2
+ OH + H2OOH
O
OO
H
OH
+ HO2O
OO
H
O
Aldehyde formation from -radical + O2
32
Alcohol Oxidation
O2
+ OH + H2OOH
O
OO
H
OH
O
OO
HO + CH2O + OH
Waddington mechanism (-radical + O2)
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Comparison: Alcohol/Alkane Oxidation
0.01
0.1
1
10
100
1000
0.6 0.8 1 1.2 1.4 1.6
t ign
[ms]
1000/T [1/K]
n-butanol 15 bar
n-butane 18 bar
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Effect of chain length
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Alcohol Oxidation
Effect of chain length on influence of functional group
0.01
0.1
1
10
100
1000
0.6 0.8 1 1.2 1.4 1.6
t ign
[ms]
1000/T [1/K]
n-butanol 15 bar
n-butane 18 bar
n-Pentanol vs n-Pentane n-Butanol vs n-Butane
Heufer et al. Proc. Comb. Inst. (2012) in press.
Paper 4D06, Thursday 2nd August
0.01
0.1
1
10
100
1000
0.7 0.9 1.1 1.3 1.5
t ign
[ms]
1000/T [1/K]
n-pentanol 9 bar
n-pentane 8 - 11 bar
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Soybean and rapeseed derived biodiesels have
only 5 principal components
0
10
20
30
40
50
60
70
C16:0 C18:0 C18:1 C18:2 C18:3
%
Soybean
Rapeseed
Methyl Palmitate (C16:0)
Methyl Stearate (C18:0)
Methyl Oleate (C18:1)
Methyl Linoleate (C18:2)
Methyl Linolenate (C18:3)
triglyceride
methanolmethyl ester glycerol
OO
O
O
O
O
R
R R
+ 3 CH 3OHOH
OH
OH
CH3
O
O
R
3 +
triglyceride
methanolmethyl ester glycerol
OO
O
O
O
O
R
R R
+ 3 CH 3OHOH
OH
OH
CH3
O
O
R
3 +
Fatty acid methyl esters (FAMEs):
Westbrook et al. Proc. Comb. Inst. (2012) in press.
Paper 3D03 Wednesday 1st August 37
Biodiesel components ignite in order of number of
double bonds
0.1
1
10
100
0.8 1 1.2 1.4 1.6
Ign
ition
delay -
ms
1000/T - K
stearate
linoleate
palmitate
oleate
linolenate
Engine-like conditions:
13.5 bar Stoichiometric
fuel/air mixtures
Westbrook et al. Proc. Comb. Inst. (2012) in press.
Paper 3D03 Wednesday 1st August 38
C = C double bonds reduce low T reactivity
s s a v v a s s
- C – C – C – C = C – C – C – C -
s s a a s s Inserting one C=C double bonds changes the reactivity of 4
carbons atoms in the C chain
Allylic C – H bond sites are weaker than most others
Therefore they are preferentially abstracted by radicals
O2 is also very weakly bound at allylic sites and falls off
rapidly, inhibiting low T reactivity
Westbrook et al. Proc. Comb. Inst. (2012) in press.
Paper 3D03 Wednesday 1st August
39
Observed same effect in hydrocarbon fuels: hexenes
3-Hexene
2-Hexene
1-Hexene
0
20
40
60
80
100
650 700 750 800 850 900
T [K]
Ign
itio
n d
ela
y t
ime
[m
s]
3-Hexene
2-Hexene
1-Hexene
0
20
40
60
80
100
650 700 750 800 850 900
T [K]
Ign
itio
n d
ela
y t
ime
[m
s]
Ignition delay times in a rapid compression
machine of hexene isomers
(0.86-1.09 MPa, Φ=1):
C = C - C - C - C - C 1-hexene
C - C = C - C - C - C 2-hexene
C - C - C = C - C - C 3-hexene
RO2 isomerization initiates
low temperature reactivity
Moving the double bond towards the center
of the molecule “inhibits” RO2 kinetics Experimental data: Vanhove et al. PCI 2005
Simulations: Mehl, Vanhove, Pitz, Ranzi Combustion
and Flame 155 (2008) 756—772.
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Novel fuels
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Furans vs bio-ethanol
Promising Next Generation Biofuels
Roman-Leshkov et al., Nature (2007) 447:
982-985. (2nd generation)
Novel renewable production process
Biomass (lignocellulosic) feedstock not
destined for human/animal consumption
Highly efficient
Large scale and low cost
Desirable physicochemical properties
Higher energy density (40%)
Direct combustion in unmodified engine
RON = 119
Lower aqueous solubility and less volatile
Laminar Flame Speed Measurements of DMF, Ethanol
and Gasoline, Tian et al., Energy Fuels, 2010
Energy Densities:
Gasoline: 35 MJ/L
2,5-DMF: 31 MJ/L
Bio-Ethanol: 23 MJ/L
Session 1: Monday morning: “Kinetics of Cyclic Ethers”
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43
2MF: Unimolecular Decomposition
Energies (0 K, kJ / mol) CBS-QB3, CBS-APNO, G3 Somers et al. Comb. Inst. (2012) in press. Paper1D01 Monday 30th July
Conclusions
General chemical reaction schemes of HCs can
be applied to oxygenated fuels
Details of oxygenated fuel combustion are quite
different!
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