Abstract
Within the presented work, a key assumption for a combustion noise model is validated. Heat release fluctuations are the main reason for the noise emission of turbulent premixed flames. Within the combustion noise model of Hirsch et al. [31st Symposium (Int.) on Combustion, pp 1435–1441, 2006], the heat release is computed in the wavenumber domain and transferred into the frequency domain, subsequently. The transformation of the spectra requires a power law dependence of the scalar spectra upon the wavenumber proportional to \(\kappa^{-\frac{5}{3}}\) and upon the frequency proportional to f −2 in the inertial subrange. The validation of the latter assumption requires a measurement system, which allows time dependent recording of fluid properties, e.g. the progress variable. These are provided by a HS-LIF-system, which supports a repetition rate of 1 kHz with sufficient energy to detect OH-radicals. From the high speed video data, the motion of the flame front is reconstructed. The presented study shows the set up of the HS-LIF-system as well as the various image post processing steps, including data binarization, flame front tracking and finally, computation of the lagrangian correlation for the progress variable. It can be shown that the spectral distribution of the progress variable in the Lagrangian frame is as assumed by the above mentioned combustion noise model.
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References
Clavin P, Siggia ED (1991) Turbulent premixed flames and sound generation. Combust Sci Tech 78:147–155
Corrsin S (1951) On the spectrum of isotropic temperature fluctuations in an isotropic turbulence. J Appl Phys 22:469–473
Corrsin S (1957) Simple theory of an idealized turbulent mixer. AIChe J 3(3):329–332
Corrsin S (1961) The reactant concentration spectrum in turbulent mixing with a first-order reaction. J Fluid Mech 11:407–416
Corrsin S (1963) Estimates of the relations between eulerian and lagrangian scales in large reynolds number turbulence. J Atmos Sci 20:115–119
Eckbreth AC (1988) Laser diagnostics for combustion temperature and species, 2nd edn. Gordon and Breach Publishers. ISBN 90-5699-532-4
Hinze JO (1959) Turbulence. 2nd edn. Mc Graw-Hill. ISBN 0-07-029037-7
Hirsch C, Wäsle J, Winkler A, Sattelmayer T (2006) A spectral model for the sound pressure from turbulent premixed combustion. In: 31st Symp (Int) on Combustion, pp 1435–1441
Hult J, Richter M, Nygren J, Alden M, Hultqvist A, Christensen M, Johansson B (2002) Application of a high-repetition-rate laser diagnostic system for single-cycle-resolved imaging in internal combustion engines. J Appl Opt 41(24):5002–5014
Klein SA (2000) On the acoustics of turbulent non-premixed flames. PhD thesis, Universität Twente
Konle M, Winkler A, Kiesewetter F, Wäsle J, Sattelmayer T (2006) Civb flashback analysis with simultaneous and time resolved piv-lif measurements. In: 13th Int Symp on Applications of Laser Techniques to Fluid Mechanics
Obukov AM (1949) Structure of the temperature field in turbulent flows. Izvestiya Akademii Nauk SSSR, Geogr Geophys Ser. T XIII Nr. 1:58–69
Peters N (2000) Turbulent combustion. Cambridge University Press. ISBN 0-521-66082-3
Pfadler S, Leipertz A, Dinkelacker F, Wäsle J, Winkler A, Sattelmayer T (2006) Two-dimensional direct measurement of the turbulent flux in turbulent premixed swirl flames. In: 31st Symp (Int) on Combustion
Schmid HP, Habisreuther P, Leuckel W (1998) A model for calculating heat release in premixed flames. Combust Flame 113:79–91
Smith SW (1997) The scientist and engineer’s guide to digital signal processing. 2nd edn. California Technical Publishing
Tennekes H, Lumley JL (1972) A first course in turbulence. 11th edn. The MIT Press. ISBN 0-262-200198
Turns SR (2000) An introduction to combustion. 2nd edn. Mc Graw-Hill. ISBN 0-07-230096-5
Winkler A, Wäsle J, Sattelmayer T (2004) Investigation of combustion noise by real time laser measurement techniques. In: CFA/DAGA Gemeinschaftstagung
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The authors gratefully acknowledge the financial support by the German Research Council (DFG) through the Research Unit FOR 486 "Combustion Noise".
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Winkler, A., Wäsle, J. & Sattelmayer, T. Development of a HS-LIF-system for Lagrangian correlation measurement. Exp Fluids 46, 607–616 (2009). https://doi.org/10.1007/s00348-008-0585-2
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DOI: https://doi.org/10.1007/s00348-008-0585-2