SLIDE 1
Combustion Chemistry in the Twenty-First Century: Developing a Theory-Informed Chemical Kinetic Model for the Small- Hydrocarbon Fuels James A. Miller Argonne National Laboratory
SLIDE 2 Collaborators/Co-Authors/Partners
Klippenstein
Sivaramikrishnan
(Columbia)
(Brown)
- Yuri Georgievski
- Larry Harding
- Branko Ruscic
- Ahren Jasper
- Judit Zádor
- Nils Hansen
- Peter Glarborg
SLIDE 3 Support
- Argonne-Sandia High-Pressure Combustion
Consortium – DOE Office of Basic Energy Sciences
SLIDE 4 Distinguishing Characteristics of Present Model
- Focus on C0-C3 chemistry (plus methanol and
ethanol)– molecules large enough to exhibit low- temperature chemistry, small enough to be attacked with high-level electronic-structure methods
- Relies heavily on theory (thermochemistry,
transport, chemical kinetics)
- Focus on extension to high pressure
- No fitting, no “optimization”, no adjustable
parameters
SLIDE 5
What does “high pressure” mean?
SLIDE 6 Thermochemistry
- Active Thermochemical Tables
- Very High-Level Electronic Structure Theory:
C-H-O-N species with 34 or fewer electrons – 4 (or 5) heavy atoms
SLIDE 7 7
High Accuracy Ab Initio Thermochemistry
Central Elements
- CCSD(T)/TZ rovibrational analysis
- CCSD(T)/CBS(AQZ,A5Z)
- CCSDT(Q)/DZ – CCSD(T)/DZ
Minor Corrections
CCSD(T,full)/CBS(pcVTZ,pcVQZ)
- Anharmonic Vibration Corrections B3LYP or MP2
- Relativistic
CI(aug-cc-pcvtz)
- Diagonal Born-Oppenheimer
HF/TZ 2 σ Accuracy ~ 0.2 kcal/mol Replace with CASPT2 and/or CI+QC as necessary
SLIDE 8 Transport Properties
2 Objectives
1. Provide accurate Lennard-Jones parameters for use in flame calculations 2. Test accuracy of isotropic/Lennard-Jones potential
Methods
- Calculate σ and ε for N2- X from “isotropically averaged
potential” using MP2/aug’dz method – use combining rules to get self parameters
- Calculate collision integral (diffusion) “exactly” from
classical trajectories using fitted potentials
- Calculate dipole moments and polarizabilities from high-
level electronic structure theory
SLIDE 9 r V(r)
Lennard-Jones Potential
σ ε
12 6
( ) 4 ( ) ( )
ij ij ij
V r r r
SLIDE 10
H –N2 interaction
SLIDE 11
H2 –N2 interaction
SLIDE 12
C3H8 – N2 interaction
SLIDE 13 Chemical Kinetics
- RRKM/non-RRKM behavior
- Dissociation of weakly-bound free radicals
- Multiple-well, multiple-product-channel
problems
SLIDE 14
Types of Chemical Reactions
SLIDE 15
RRKM Intramolecular Dynamics
SLIDE 16
H+O2OH+O
SLIDE 17
SLIDE 18
Effect of non-RRKM Behavior in H+O2OH+O
SLIDE 19 3CH2+O2→products
Courtesy of Alex Landera
SLIDE 20 3CH2+O2 Rate Constants
Courtesy of Alex Landera
SLIDE 21 Weakly-bound free radicals
- Dissociate primarily to form stable molecule
and another free radical
- Low threshold energies for dissociation
(weak bonds) with “intrinsic” potential energy barriers
- Examples: vinyl, ethyl, n- and i-propyl (all
alkyl radicals), allyl, formyl, …
- Not weakly bound- methyl, propargyl, …
SLIDE 22 Timonen, et al 1987 Friedrichs ,et al 2002 Krasnoperov Helium collider
The Dissociation of Formyl Radical
Argon collider Yang, Tan, Carter, and Ju, U.S. National Meeting 2013
SLIDE 23
HCO dissociation
tunneling Reaction threshold energy
SLIDE 24 Yang, Tan, Carter, and Ju, U.S. National Meeting 2013
SLIDE 25 Non-equilibrium population distributions during dissociation of weakly-bound free radicals
- Non-equilibrium factor, fne, occurs naturally in the analytical
treatment of reversible dissociation
- Measure of the extent to which dissociation “disturbs” the
equilibrium population distribution
- If fne is significantly smaller than 1, get significant
disturbance ⇒ dissociation during vibrational relaxation ⇒ inadequacy of phenomenological (rate constant) description
( ) 1/ ( ) ( )
ne
x E f x E dE F E
SLIDE 26
Non-Equilibrium factors for Selected Radicals
SLIDE 27
Propyl radicals
n-C3H7 i-C3H7
SLIDE 28 Possible Solution
- Internal energy relaxation is presumed to be infinitely fast in
phenomenological models
- Dissociated radical is formed before “thermalization” is
complete
- Take dissociated radical to be formed from radical-producing
reactions, e.g. C2H6+OHC2H5+H2O C2H6+OHC2H4+H+H2O
SLIDE 29
Reactions Investigated (or Re-Investigated) for this Project
Everything on C3H7 potential, …C3H6 …,… C3H5O…, …C2H4…,C2H5+H, C2H5+OH,C2H5+O2,C3H7+O2,C3H3 dissociation, 3CH2+O2, HCO+OH, CH2OH/CH3O dissociation,C2H3+O2, dissociation of hydroxypropyl and propoxy radicals, etc. (probably a number that I have forgotten)
SLIDE 30
CH3+OHproducts
SLIDE 31
CH3+OHproducts
SLIDE 32
Comparison with Experiment
SLIDE 33
SLIDE 34
SLIDE 35
SLIDE 36
SLIDE 37
SLIDE 38
SLIDE 39
Propane Ignition Delay Times
SLIDE 40
SLIDE 41 Low-Temperature Autoignition of Propane
Gallagher, et al (2008)