Understanding the effectiveness of lowpower nanosecond discharges in extending the lean flammability limit of premixed flames Mark A. Cappelli, Moon Soo Bak, G. Mungal Mechanical Engineering Department, Stanford University Outline • Experiments in air and pure N2 – question rate coefficients for dissociative quenching (0-D kinetics for revised rates) • Experiments in premixed methane/air flames straddling the LFL ( = 0.53) • Preliminary 2D simulations of plasmaassisted combustion below and above LFL Introduction • Nonequilibrium pulsed plasmas are candidates in enhancing energy conversion devices (ignition, stabilization) Video clip from GE global research website • Mechanism attributed to; Production of radicals (O, H, or OH) Rapid gas heating by repetitive discharges • Extensive plasma reaction sets have been proposed and kinetic simulations have been carried out to describe various observables such as ignition delays1,2, O-radical production3, NO production4, etc. Future Emphasis • Multi-scale simulations are rare, most not accounting for repetitive pulses and species diffusion/advection between the discharge and the surrounding flow on chemistry. 1. 2. 3. 4. I.N. Kosarev, et. al, Combustion and Flame, 2008 I.N. Kosarev, et. al, Combustion and Flame, 2009 M. Uddi, et. al, Proceedings of the Combustion Institute, 2008 M. Uddi, et. al, Journal of Physics D: Applied Physics, 2009 Basic Problem PAC using Nanosecond Discharges Electric Pulses “Hot” Electrons Reactions Radicals + Heat “Enhanced” Combustion “Excited” Molecules And Direct Dissociation Dissociative Quenching (believed to be a major path to O production and heat) Plasma is a local source of radicals/practical configurations include jet diffusion and premixed flows Collisional quenching of N2* by N2 and O2 Role in radical production and explosive heating of the discharge volume through dissociative energy transfer to atomic oxygen Time-resolved emission measurements • Discharge conditions; 1 mm diameter tungsten electrode separated by 1 mm Gaussian voltage pulse with 10 ns FWHM Vpeak, about 8 kV 50 kHz repetition rate • Flow speed; 4 m/s • N2 C-B/B-A emission spectra Monochromator (2 ns gate) Band-pass filters Serve as a means of measuring T(Trot) and ne to provide a bound on peak E/n for kinetic simulations • Stark broadened Hb lineshape OES results • Fast gas heating occurs during the pulse • Electron number density reaches to 4.51015 cm-3 • Small differences are found for quenching of N2 (C, B) between pure N2 discharges and air discharges 0-D kinetic simulations† • • • 10ns FWHM Gaussian E/n pulse is applied in air at 1 atm and 1300 K initial pressure and gas temperature. E/npeak = 285 Td and 1013 cm-3 initial electron density provides a good agreement between the measured (rot) and simulated (trans) T and ne. Propose revisions (factor of 2-5) to quench rates of N2 (C, B) by N2 and O2 commonly used (Kossyi et al 1992, Gordiets et al 1995, Capitelli et al 2000): kQ(N2 (C) by N2) = 2.5 (±0.3)x10-11 cm3s-1, kQ(N2 (C) by O2) = 10 (±0.3)x10-11 cm3s-1 kQ(N2 (B) by N2) = 1.6 (±0.3)x10-11 cm3s-1, kQ(N2 (B) by O2) = 4 (±0.3)x10-11 cm3s-1 † kinetics and energy equation discussed later within context of 2-D simulation Atomic O production mechanisms • 82% of atomic O are found to be produced via the dissociative quenching and only 5% from electron-impact. N2(A, B, a’, C) + O2 → N2(X) + 2O e + O2 → e + 2O • The atomic O produced is found to be 2.5 (±0.5)x1017 cm-3, corresponding to a mole fraction of 4.4 (±0.4)x10-2. Basic Problem Electric Pulses “Hot” Electrons Reactions Radicals + Heat “Enhanced” Combustion Stability enhancement and extended LFL “Excited” Molecules And Direct Dissociation Enhanced premixed laminar CH4/air combustion by pulsed discharges in the vicinity of the Lean Flammability Limit (LFL = 0.53) GC, thermocouple, OES measurement setup • Discharge conditions; 1 mm diameter tungsten electrodes separated by 1 mm Gaussian voltage pulse with 10 ns FWHM Vpeak, about 8 kV 10 - 50 kHz repetition rate • Flow speed; About 42.5 cm/s • N2 C-B emission spectrum 2 ns gate width • Gas Chromatography (GC) for major species (CO, H2, CH4) • TC (coated) measurements of T (not radiation corrected) GC and thermocouple results (30 kHz) CH4 consumption T ignition quenching CO H2 1st stage (reforming) But subsequent dilution With surrounding flow • For < 0.52-0.53, major product species diluted downstream by surrounding flow (combustion is not sustained) • Plasma provides some benefit, but combustion efficiency is low GC (10 - 50 kHz) and OES results 14W 2.5W • The extension of LFL is improved with increased average power. • Fast gas heating occurs during the pulse. • For E/npeak = 278 (±1) Td and 1013 cm-3 initial electron density, measured temperatures agree well with those simulated (2-D). 2-D combustion simulations – (1/5) • Discharge size; 1 mm height 0.35 mm diameter • Discharges are assumed not to wander. • Constrain velocity to axial flow and assume constant pressure • Discharge conditions; Gaussian pulse of E/n with 10 ns FWHM E/npeak = 278 (±1) Td (Vpeak = 8 kV) and 1013 cm-3 initial electron number density Repetition rate, 30 kHz 0.175mm Uniform Grid 0.333mm • Flow (advection) speed; 42.5 cm/s 2-D combustion simulations – (2/5) • Species considered; N2(X, A, B, a’, C), O2(X), O, N2+, O2+, CH4+, H2O+, CO2+, electron (e), and other species in a reduced methane/air reaction mechanisms (H2, H, OH, H2O, HO2, CH2, CH2(S), CH3, CH4, CO, CO2, HCO, CH2O, CH3O, C2H4, C2H5, C2H6) Mechanism DRM-19 (Based on GRI-Mech 1.2) Frenklach et al. • Reaction set considered; • Electron-impact excitation and ionization of N2 Electron-impact dissociation and ionization of O2 and CH4 Electron-impact ionization of H2O and CO2 Ion conversion Recombination of electron and positive ions (diss recombination of O2+) Quenching of N2* by N2 Dissociative quenching of N2* by O2 and CH4 Chemical transformations of neutral species Reaction rate coefficients; For reactions not involving electrons, the coefficients are adapted from previous plasma kinetic studies. For reactions involving electrons, the coefficients are obtained as a function of E/n (using BOLSIG+). Reaction Mechanism (plasma excited components only) Coupled to GRI-MECH 1.2 reduced to 19 Species/84 Reactions in DRM-19 by Frenklach et al N2(A) + O → N2 + O 2.1 10-11 cm3/s O + O + N2 → O2 + N2 10-33 (300/Tg)0.41 cm6/s O + O + O2 → O2 + O2 4 10-33 (300/Tg)0.41 cm6/s CH4 + N2(A) → CH3 + H + N2 3.3 10-15 cm3/s CH4 + N2(B) → CH3 + H + N2 3 10-10 cm3/s CH4 + N2(a') → CH3 + H + N2 3 10-10 cm3/s CH4 + N2(C) → CH3 + H + N2 5 10-10 cm3/s a This cross section is compiled by A.V. Phelps and L.C. Pitchford. b This cross section is compiled by A.V. Phelps. c This cross section is compiled by M. Hayashi. Plasma set adapted from: M. Capitelli, et al.,Plasma Kinetics in Atmospheric Gases, Springer, Berlin, 2000. A. Kossyi, et al., “Kinetic scheme of the non-equilibrium discharge in nitrogen-oxygen mixtures,” Plasma Sources Science and Technology, Vol. 1, No. 3, 1992. B. F. Gordiets, et al., “Kinetic Model of a Low-Pressure N2-O2 Flowing Glow Discharge,” IEEE Transactions on Plasma Science, Vol. 23, No. 4, August 1995. Table I. Reaction set (except a reduced methane/air combustion mechanism) used in 2-D kinetic simulations for methane/air plasma-induced combustion. Reaction Rate coefficient References N2 + e → N2(A) + e a N2 + e → N2(B) + e a N2 + e → N2(a’) + e a N2 + e → N2(C) + e a N2 + e → N2+ + 2e a O2 + e → 2O + e b O2 + e → O2+ + 2e b CH4 + e → CH3 + H + e c CH4 + e → CH4+ + 2e c H2O + e → H2O+ + 2e c CO2 + e → CO2+ + 2e c O2+ + e → 2O 2 10-7 (300/Te)0.63 cm3/s CH4+ + e → CH3 + H 2.9 10-7 (300/Te)0.53 cm3/s + H2O + e → O + 2H 10-6 (300/Te)0.5 cm3/s + CO2 + e → O + CO 4 10-7 (300/Te)0.5 cm3/s e + e + N2+ → e + N2 10-19 (300/Te)4.5 cm6/s + e + N2 + N2 → N2 + N2 6 10-27 (300/Te)1.5 cm6/s + e + N2 + O2 → N2 + O2 6 10-27 (300/Te)1.5 cm6/s e + e + O2+ → e + O2 10-19 (300/Te)4.5 cm6/s + e + O2 + N2 → O2 + N2 6 10-27 (300/Te)1.5 cm6/s + e + O2 + O2 → O2 + O2 6 10-27 (300/Te)1.5 cm6/s e + e + H2O+ → e + H2O 10-19 (300/Te)4.5 cm6/s + e + H2O + N2 → H2O + N2 6 10-27 (300/Te)1.5 cm6/s + e + H2O + O2 → H2O + O2 6 10-27 (300/Te)1.5 cm6/s + e + e + CO2 → e + CO2 10-19 (300/Te)4.5 cm6/s e + CO2+ + N2 → CO2 + N2 6 10-27 (300/Te)1.5 cm6/s + e + CO2 + O2 → CO2 + O2 6 10-27 (300/Te)1.5 cm6/s + + N2 + O2 → O2 + N2 6 10-11 (300/Tg)0.5 cm3/s N2+ + H2O → H2O+ + N2 2.3 10-9 cm3/s H2O+ + O2 → O2+ + H2O 4.3 10-10 cm3/s + + CO2 + O2 → O2 + CO2 5.6 10-11 cm3/s N2(A) + N2 → N2 + N2 3 10-16 cm3/s N2(B) + N2 → N2 + N2 2 10-12 cm3/s N2(B) + N2 → N2(A) + N2 3 10-11 cm3/s N2(B) → N2(A) + h 1.5 105 1/s N2(a') + N2 → N2(B) + N2 1.9 10-13 cm3/s N2(C) + N2 → N2(a') + N2 10-11 cm3/s N2(C) → N2(B) + h 3 107 1/s N2(A) + N2(A) → N2(B) + N2 3 10-10 cm3/s N2(A) + N2(A) → N2(C) + N2 1.5 10-10 cm3/s N2(A) + O2 → N2 + 2O 2.3 10-12 cm3/s N2(B) + O2 → N2 + 2O 2 10-10 cm3/s N2(a') + O2 → N2 + 2O 2.8 10-11 cm3/s N2(C) + O2 → N2 + 2O 3 10-10 cm3/s 2-D combustion simulations – (3/5) • Species conservations; kf For each reaction, i n reac , i k b i n j t reactions j - j n i prod , i i n j E i i * k f n or Te or T gas n reac , i - k b n prod , i n jV D , j - V adv z tot i i VD,j is the diffusion velocity of species j, and V *adv is the advection velocity, scaled as Tgas/Tgas,initial. • Energy equation; c v , j n j T gas t species j en e e E 2 n tot t h n h sen s , j n j f ,j j - h sen s , j n jV D , j V adv t z species j e and E are the electron mobility and electric field, respectively, and is the mixture-averaged thermal conductivity. Ohmic dissipation is considered only at the discharge region. • Diffusion velocity of species j, VD,j; V D , j V c - D jm X X j j D jm j T X j T and n jV D , j 0 species , j Djm is the mixture average diffusion coefficient of species j, and j is the thermal diffusion ratio of species j. T gas 2-D combustion simulations – (4/5) • Mixture average diffusion coefficient for species j, Djm (Bird et al., 1960); D jm 1-Yj X k D kj k j Dkj is the binary diffusion coefficient between species k and j. • Mixture-averaged thermal conductivity, λ (Mathur et al., 1967); 1 X j j 2 j 1 j X j j λj is the pure species conductivity for species j. • Thermal diffusion ratio of species j , j (for MWj < 5) j jk k j jk is the binary thermal diffusion ratio for species j into species k. • Approximations; Electron and positive ions locate only at a discharge region. The species diffusion coefficients of electronically excited N2 and O2 are set to be equal to those for N2 and O2 in ground state, respectively. 2-D combustion simulations– (5/5) • Numerical schemes used; Central difference scheme for species diffusion and thermal conduction. Upwind scheme for species advection and enthalpy diffusion and advection. A system of ordinary differential equations are solved implicitly for each time step using backward difference formula (BDF). The domain is divided into smaller subdomains, computed in parallel (32 CPUs). Each case takes approximately 24 hours of CPU. Sundials CVODE with MPI support is used as solver, and each temporal solution is computed iteratively using Generalized Minimal Residual method (GMRES). • Initial conditions; 1 atm and 296 K background pressure and gas temperature, initial guess from previous converged runs at similar conditions Methane/air equivalence ratio, (0.45 and 0.55) 278 (±1) Td E/npeak with 1013 cm-3 initial electron number density • Boundary conditions; Dirichlet boundary conditions for the domain bottom Neumann boundary conditions (zero gradient) for the domain side and top Simulation results for CH4/air at = 0.45 278 Td peak E/n 1013 cm-3 initial electron density Spatial and temporal evolution of CH4 Spatial and temporal evolution of CO2 Spatial and temporal evolution of H 2O Spatial and temporal evolution of CO Spatial and temporal evolution of H2 Spatial and temporal evolution of O Spatial and temporal evolution of Gas temperature Simulation results for CH4/air at = 0.55 279 Td peak E/n 1013 cm-3 initial electron density Spatial and temporal evolution of CH4 Spatial and temporal evolution of CO2 Spatial and temporal evolution of H 2O Spatial and temporal evolution of CO Spatial and temporal evolution of H2 Spatial and temporal evolution of O Spatial and temporal evolution of Gas temperature Comparison to the measurements Kinetics in the discharge region ( = 0.55) • Most of methane is combusted because of the shorter t between pulses compared to the species diffusion t. • The dissociative quenching of N2* produces O radicals, leading to the production of other active species such as H, OH and H2. Summary: • • • Experiments/simulations carried out to refine important kinetics Sampled chemistry/compared to preliminary 2D simulations ignition/quenching (LFL) limit captured in the simulations Furthering this research: • • • • Tighten discrepancy between experiments and simulations - correct for gas reactions in sampling tube Diagnostics/diagnostics/diagnostics More strongly couple the plasma with surrounding flow Refine the plasma simulations (sheaths, axial diffusion/drift) - quasi-1D simulation under development - need 2D simulation Thank You Premixed laminar CH4/air combustion by heating coil near LFL Experimental setup Simulation results for CH4/air at = 0.55 Power input = 2W