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Nanoscaled Particle Size Distributions and Gas Temperatures from Time-resolved LII Measurements. H.Bockhorn, B.Jungfleisch, T. Lehre , R. Suntz. Institut für Chemische Technik and Engler-Bunte Institut Universität Karlsruhe. Motivation. Environmental: Soot emission regulations
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Nanoscaled Particle Size Distributions and Gas Temperatures from Time-resolved LII Measurements H.Bockhorn, B.Jungfleisch, T. Lehre, R. Suntz Institut für Chemische Technik and Engler-Bunte Institut Universität Karlsruhe
Motivation • Environmental: Soot emission regulations • Modelling: Data for gas-to-particle conversion models • Nanotechnology: Properties depend on p(r) • Product Design: Control p(r) by varying process parameters • Experimental approach : Optical method • Non-intrusive temporally and spatially resolved in-situ characterization of particle sizes
, s = 0.34 Diameter D63 based on Present Particle Sizing Technique: RAYLIX Rayleigh-Scattering: 6th Moment M6 LII: 3th Moment M3
Modelling LII: Mass and Energy Balances • Solving mass and engergy balance yields TP(t) • Accurate description of heat / mass transport kinetics is essential
Modelling LII: Signal Decays Planck‘s law for a single particle: Signal decay for particle size distribution p(r): Assessment of p(r) and Tg:Multidimensional Nonlinear Regression yi: measured data y: model function si: weight
Detection of Time-Resolved LII- Signals in laminar premixed flat flame (12kPa / 1 atm)
LII Model validation TEM analysis yields: p(r) log-normal, s=0.34 2,6 nm < rm < 16 nm Na-D inversion method: gas temperatures Tg
Comparison of measured and calculated LII-signals • Calculations agree with experiments (moderate laser fluxes) • Assessment of p(r) and Tg from LII signals seems possible
Non-linear Regression: P(r) log-normal, = 0.34; rm=8.3 nm; Tg=1724 K
Excitation curves in atmospheric laminar premixed flat flame:Model and Measurements Model Uncertainties during LASER pulse due to Absorption kinetics Heat/mass transfer kinetics ???
1D + time resolved 2 colour LII in laminar atmospheric premixed flat flame
Additional Measurements in atmospheric laminar premixed flat flame Particle diameter: RAYLIX Flame temperature: 2 colour pyrometry
Validation of heat/mass transfer kinetics Input to calculated T(t): measured TP(15ns after pulse); no absorption model p(r) and Tg from independant measurements
Modelling LII during Laserpulsenot required Modelling superheatingnot required Independance of refractive index (grey bodies) Experimental value for laser fluencenot required Advantages of 2 colour LII
monodisperse size distribution lognormal size distribution Nonlinear Regression Fit parameters: rm , s Fit function: TP(t) Result: Flat minimum regions = a rm + b
Low time resolution has no effect on measured particle temperatures ( 2 colour LII ) for t > 20ns
Nonlinear Regression: Fit parameters: rm , s Fit function: TP(20ns) –TP (1000ns) Unique minimum along s = a rm + b exists
Sensitivity to rm for a given shape of p(r) lognormal s=0.34:rm = 5nm monodisperse: rm = 10nm
Particle Size Distributions from Scattering + LII Time-resolved LII: RAYLIX:
space time Summary • LII model validation in sooting laminar premixed flames (1 bar; 0.12bar) • Heat/mass transfer kinetics validation based on particle temperature measurements • Assessment of p(r) and Tg from LII / 2 colour LII using Multi - D- nonlinear regression • Time range>1us gives good sensitivity to p(r) • Simultaneous detection of scattering increases sensitivity to p(r) • Outlook: P(r) in laminar diffusion flame