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1、Fluent Combustion Modeling Case Studies1999 User Group Meeting Short Course,Graham Goldin Fluent Inc. Three cases studies: IFRF swirling pulverized coal flame GE LM-1600 gas turbine combustor Large Eddy Simulation of LPC instability,Case 1: IFRF swirling pulverized coal flame,IFRF industrial scale f
2、urnace Built on simulation by Peters and Weber (1997), Mathematical Modeling of a 2.4 MW Swirling, Pulverized Coal Flame, Combustion Science and Technology, 122, 131 Ref. 1,exhaust,7 cooling loops,measurement locations: z = 0.25m, 0.85m,combustion air: swirl no. = 0.923, flow rate = 2684kg/h,coal fl
3、ow rate = 263 kg/h, with transport air flow rate = 421 kg/h,1/4 geometry,Grid,3D, one quarter geometry model due to periodicity Unstructured hexahedral mesh 70k cells before adaption 260k cells after region adaption near inlet Maximum equi-angle skew of 0.53,Turbulence modeling,Standard k-e turbulen
4、ce model, standard wall functions not substantially sensitive to the turbulence model,Mean velocity magnitude (m/s),Gas phase combustion modeling (1),Eddy Dissipation (Magnussen) model parameters from Ref. 1 two step reaction VOL + 2.46O2 2.17CO + 0.633CO2 + 2.118H2O + 0.071N2 CO + 0.5O2CO2 model co
5、nstants A = 0.6, B = 1020 (standard A = 4, B=0.5) Adjusted specific heats (SI units),Speciesc0 c1 c2 c3 c4 c5 c6 N21.027e32.162e-21.486e-4-4.484e-8 CH42.005e3-6.814e-17.086e-3-4.714e-68.513e-10 CO1.047e3-1.568e-15.399e-4-3.011e-75.050e-11 H21.415e41.737e-16.900e-4 CO25.354e21.279-5.468e-4-2.382e-71.
6、892e-10 H2O1.938e3-1.1813.644e-3-2.863e-67.596e-10 O28.763e21.228e-15.583e-4-1.202e-61.147e-9-5.124e-13 8.566e-17,Gas phase combustion modeling (2),Mean temperature (K),Gas phase combustion modeling (3),Mean CO ppm, dry,Discrete phase modeling (1),Gottelborn hvBb coal proximate (weight %, dry), vola
7、tiles 55.0, fixed carbon 36.7, ash 8.3 ultimate (weight %, daf) C 80.36, H 5.08, N 1.45, S 0.94, O 12.17 Lower Calorific Value (LCV, MJ/kg daf) volatiles 32.3, char 32.9 Rosin-Rammler size distribution smallest 1mm, largest 300mm, mean 45mm, spread 1.36 Single rate devolatization model, A=2*105 s-1,
8、 E=7.4*107 J/kmol Kinetics/diffusion-limited surface (char) combustion O2 diffusion rate const = 5*10-12 kg/m2sPa, A=6.7 kg/m2sPa0.5, E=1.14*108 J/kmol Discrete Random Walk (DRW) model 21600 tracks per DPM iteration, 10 particle sizes 25 gas phase iterations per DPM iteration,Discrete phase modeling
9、 (2),Tracks of 1mm particles, colored by particle temperature (K),Radiation modeling,P-1 radiation model (optical thickness 1) WSGGM for absorption co-efficient,Absorption co-efficient (m-1),NOx modeling,Thermal and fuel NOx O from partial equilibrium assumption Post-processed: assumed shape b pdf,M
10、ean NO ppm, dry,Results (1) Velocity field,Mean swirl velocity (m/s),Mean axial velocity (m/s),Results (2) Turbulence field,Turbulence intensity (m/s),Results (3) Temperature/species field,Mean temperature (K),Mean O2 (volume %, dry),Results (4) Species field,Mean CO2 (volume %, dry),Mean CO (ppm, d
11、ry),Results (5) Velocity field,Mean NO (ppm, dry),Solution strategy,13 equations solved: 1 pressure, 3 momentum, 1 energy, 2 turbulence, 1 radiation, 5 gas phase species, (2 pollutants post-processed) Segregated, pressure based solver Solution procedure: a. coarse grid, cold flow solution b. gas pha
12、se combustion c. particles d. radiation e. adaption Second order upwind discretization,Case 2: GE LM-1600 gas turbine combustor,courtesy of Nova Research and Technology Corp., Calgary, Canada non-premixed, natural gas 12.8 MW, 19:1 pressure ratio (full load) annular combustion chamber, 18 nozzles,sw
13、irl vanes,fuel inlet nozzles,dilution air inlets,Grid,3D, 1/18th geometry model due to periodicity Multi-block hexahedral mesh Maximum equi-angle skew of 0.84 286k cells,Turbulence modeling,Standard k-e turbulence model,Path ribbons colored by temperature (K),Gas phase combustion modeling (1),Lamina
14、r Flamelet model 22 species, 104 reactions reduced GRI-MECH 1.22 mechanism A. Kazakov and M. Frenklach, /drm Flamelets solved in mixture fraction space Differential diffusion (Le effects) included,Mean mass fraction of OH,Gas phase combustion modeling (2),Deviation from chem
15、ical equilibrium measured by Damkohler no. aq is the laminar flamelet extinction strain rate = 11700 s-1,Damkohler number,Gas phase combustion modeling (3),Mean temperature (K),Gas phase combustion modeling (4),Clipped contours of and,NOx modeling (1),Thermal and prompt NOx: Zeldovich thermal NO dom
16、inant: Species and temperature from Laminar Flamelet model Post-processed: assumed shape b pdf,Mean NO ppm, wet,NOx modeling (2),Laminar Flamelet model,Equilibrium f model,NOx modeling (3),Plot of NO flux exiting outlet vs. combustor load,Case 3: Large Eddy Simulation of Combustion Instability,Combu
17、stion instability occurs when pressure fluctuations are in phase with heat release fluctuations (Rayleigh criteria) Common in lean premixed (low NOx) systems Unsteady solution - LES! Ruhrgas Sinox I burner experiments Buchner, H. and Leuckel, W. (1995), Final report of the GERG PC 5, Acoustics and B
18、urner Noise,Instantaneous velocity vectors colored by velocity magnitude (m/s),Large Eddy Simulation (1),Direct solution of reacting Navier-Stokes, where all length and time scales are resolved, is computationally intractable Large Eddy Simulation (LES) spatially average (filter) the small (sub-grid
19、) eddies and resolve the large turbulent structures in space and time The isotropic small scales, which dissipate energy from the large scales, are modeled as an eddy viscosity LES is more expensive than RANS due to spatial resolution requirements and the unsteady solution LES is the appropriate too
20、l for highly unsteady flows with dominant turbulent structures (e.g. certain explosions),Underlying theory,Large Eddy Simulation (2),Favre (density weighted) filtering of a general variable, j Box filter, where D is the grid width, Filtered continuity equation,Governing equations,Large Eddy Simulati
21、on (3),Filtered momentum equation subgrid stress tensor modeled as (Smagorinsky) Smagorinsky constant Cs=0.1,Governing equations,Large Eddy Simulation (4),Filtered species G equation for premixed combustion Turbulent flame speed determined by the RNG model Laminar flame speed Sl=23cm/s Source term in the energy equation,Governing equations,Solution Parameters,Axisymmetric model 48k quad cells in grid grid size 0.3mm, Taylor length scale 0.9mm QUICK spatial differencing (third order) Second order time differ
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