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Heat release rate correlation and combustion noise in premixed flames

  • N. SWAMINATHAN (a1), G. XU (a1), A. P. DOWLING (a1) and R. BALACHANDRAN (a2)

The sound emission from open turbulent flames is dictated by the two-point spatial correlation of the rate of change of the fluctuating heat release rate. This correlation in premixed flames can be represented well using Gaussian-type functions and unstrained laminar flame thermal thickness can be used to scale the correlation length scale, which is about a quarter of the planar laminar flame thermal thickness. This correlation and its length scale are observed to be less influenced by the fuel type or stoichiometry or turbulence Reynolds and Damkohler numbers. The time scale for fluctuating heat release rate is deduced to be about τc/34 on an average, where τc is the planar laminar flame time scale, using direct numerical simulation (DNS) data. These results and the spatial distribution of mean reaction rate obtained from Reynolds-averaged Navier–Stokes (RANS) calculations of open turbulent premixed flames employing the standard model and an algebraic reaction rate closure, involving a recently developed scalar dissipation rate model, are used to obtain the far-field sound pressure level from open flames. The calculated values agree well with measured values for flames of different stoichiometry and fuel types, having a range of turbulence intensities and heat output. Detailed analyses of RANS results clearly suggest that the noise level from turbulent premixed flames having an extensive and uniform spatial distribution of heat release rate is low.

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On sabbatical leave from the Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China.

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Armitage, C. A., Balachandran, R., Mastorakos, E. & Cant, R. S. 2006 Investigation of the nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations. Combust. Flame 146, 419436.
Ayoola, B. O., Balachandran, R., Frank, J. H., Mastorakos, E. & Kaminski, C. F. 2006 Spatially resolved heat release rate measurements in turbulent premixed flames. Combust. Flame 144, 116.
Balachandran, R., Ayoola, B. O., Kaminski, C. F., Dowling, A. P. & Mastorakos, E. 2005 Experimental investigation of the nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations. Combust. Flame 143, 3755.
Bilger, R. W. 1993 In Turbulence and Molecular Processes in Combustion (ed. Takeno, T.), pp. 267285. Elsevier.
Bragg, S. L. 1963 Combustion noise. J. Inst. Fuel 36, 1216.
Bray, K. N. C. 1979 The interaction between turbulence and combustion. Proc. Combust. Inst. 17, 223233.
Bray, K. N. C. 1980 Turbulent flows with premixed reactants. In Turbulent Reacting Flows (ed. Libby, P. A. & Williams, F. A.), pp. 115183. Springer.
Bray, K. N. C., Libby, P. A. & Moss, J. B. 1984 Flamelet crossing frequencies and mean reaction rates in premixed turbulent combustion. Combust. Sci. Tech. 41, 143172.
Chakraborty, N., Rogerson, J. W. & Swaminathan, N. 2008 A priori assessment of closures for scalar dissipation rate transport in turbulent premixed flames using direct numerical simulation. Phys. Fluids 20, 045106.
Chen, J. H., Choudhary, A., de Supinski, B., DeVries, M., Hawkes, E. R., Klasky, S., Liao, W. K., Ma, K. L., Mellor-Crummey, J., Podhorszki, N., Sankaran, R., Shende, S. & S. Yoo, C. 2009 Terascale direct numerical simulations of turbulent combustion using S3D. Comput. Sci. Disc. 2, 015001, doi:10.1088/1749-4699/2/1/015001.
Clavin, P. & Siggia, E. D. 1991 Turbulent premixed flames and sound generation. Combust. Sci. Tech. 78, 147155.
Crighton, D. G., Dowling, A. P., Williams, J. E. F., Heckl, M. & Leppington, F. G. 1992 Modern Methods in Analytical Acoustics: Lecture Notes, chap. Thermoacoustic sources and instabilities, pp. 387405. Springer.
Doak, P. E. 1972 Analysis of internally generated sound in continuous materials:2. a critical review of the conceptual adequacy and physical scope of existing theories of aerodynamic noise, with special reference to supersonic jet noise. J. Sound Vib. 25, 263335.
Dowling, A. P. 1976 Mean temperature and flow effects on combustion noise. AIAA paper 79-0590.
Duchaine, P., Zimmer, L. & Schuller, T. 2009 Experimental investigation of mechanism of sound production by partially premixed flames. Proc. Combust. Inst. 32, 10271034.
Egolfopoulos, F. N., Zhu, D. L. & Law, C. K. 1990 Experimental and numerical determination of laminar flame speeds: mixtures of C2-hydrocarbons with oxygen and nitrogen. Proc. Combust. Inst. 23, 471478.
Flemming, F., Sadiki, A. & Janicka, J. 2007 Investigation of combustion noise using a LES/CAA hybrid approach. Proc. Combust. Inst. 31, 31893196.
Hartung, G., Hult, J., Kaminski, C. F., Rogerson, J. W. & Swaminathan, N. 2008 Effect of heat release on turbulence and scalar–turbulence interaction in premixed combustion. Phys. Fluids 20, 035110.
Hassan, H. A. 1974 Scaling of combustion-generated noise. J. Fluid Mech. 66, 445453.
Hemchandra, S. & Lieuwen, T. 2010 Local consumption speed of turbulent premixed flames: an analysis of ‘memory effects’. Combust. Flame 157, 955965.
Hirsch, C., Wasle, J., Winkler, A. & Sattelmayer, T. 2007 A spectral model for the sound pressure from turbulent premixed combustion. Proc. Combust. Inst. 31, 14351441.
Hurle, I. R., Price, R. B., Sugden, T. M. & Thomas, A. 1968 Sound emission from open turbulent premixed flames. Proc. R. Soc. Lond. A 303, 409427.
Ihme, M., Pitsch, H. & Bodony, D. 2009 Radiation of noise in turbulent non-premixed flames. Proc. Combust. Inst. 32, 15451553.
Jones, H. 1979 The generation of sound by flames. Proc. R. Soc. Lond. A 367, 291309.
Kilham, J. H. & Kirmani, N. 1979 The effect of turbulence on premixed flame noise. Proc. Combust. Inst. 17, 327336.
Klein, S. A. & Kok, J. B. W. 1999 Sound generation by turbulent nonpremixed flames. Combust. Sci. Tech. 149, 267295.
Kolla, H., Rogerson, J. W., Chakraborty, N. & Swaminathan, N. 2009 Scalar dissipation rate modelling and its validation. Combust. Sci. Tech. 181 (3), 518535.
Kolla, H., Rogerson, J. W. & Swaminathan, N. 2010 Validation of a turbulent flame speed model across combustion regimes. Combust. Sci. Tech. 182, 284308.
Kotake, S. 1975 On combustion noise related to chemical reactions. J. Sound Vib. 42 (3), 399410.
Kotake, S. & Takamoto, K. 1987 Combustion noise: effects of the shape and size of burner nozzle. J. Sound Vib. 112 (2), 345354.
Kotake, S. & Takamoto, K. 1990 Combustion noise: effects of the velocity turbulence of unburned mixture. J. Sound Vib. 139 (1), 920.
Lighthill, M. J. 1952 On sound generated aerodynamically. I. General theory. Proc. R. Soc. Lond. A 211, 564587.
Lighthill, M. J. 1954 On sound generated aerodynamically. II. Turbulence as a source of sound. Proc. R. Soc. Lond. A 222, 132.
Mahan, J. R. 1984 A critical review of noise production models for turbulent, gas-fueled burners. Tech. Rep. NASA CR–3803. NASA, Lewis Research Center.
Nada, Y., Shiwaku, N., Kikuta, S., Tannahashi, M. & Miyauchi, T. 2005 Fractal characteristics of hydrogen–air turbulent premixed flames. In 5th Asia-Pacific Conference on Combustion 2005. The University of Adelaide, Australia.
Nada, Y., Tanahashi, M. & Miyauchi, T. 2004 Effect of turbulence characteristics on local flame structure of H2–air premixed flames. J. Turbul. 5 (1), 115.
Najm, H. N., Knio, O. M., Paul, P. H. & Wyckoff, P. S. 1998 A study of flame observables in premixed methane–air flames. Combust. Sci. Tech. 140, 369403.
Ohiwa, N., Tanaka, K. & Yamaguchi, S. 1993 Noise characteristics of turbulent diffusion flames with coherent structure. Combust. Sci. Tech. 90, 6178.
Peters, N. 2000 Turbulent Combustion. Cambridge University Press.
Poinsot, T. & Veynante, D. 2001 Theoretical and Numerical Combustion. Edwards.
Price, R. B., Hurle, I. R. & Sugden, T. M. 1968 Optical studies of the generation of noise in turbulent flames. Proc. Combust. Inst. 12, 10931101.
Rajaram, R. 2007 Characteristics of sound radiation from turbulent premixed flames. PhD thesis, Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA.
Rajaram, R. & Lieuwen, T. 2003 Parametric studies of acoustic radiation from premixed flames. Combust. Sci. Tech. 175, 22692298.
Rajaram, R. & Lieuwen, T. 2009 Acoustic radiation from turbulent premixed flames. J. Fluid Mech. 637, 357385.
Rutland, C. J. & Cant, R. S. 1994 Turbulent transport in premixed flames. In Proc. of Summer Program, Centre for Turbulence Research, pp. 7594. NASA Ames/Stanford University.
Singh, K. K., Frankel, S. H. & Gore, J. P. 2004 Study of spectral noise emissions from standard turbulent non-premixed flames. AIAA J. 42 (5), 931936.
Singh, K. K., Zhang, C., Gore, J. P., Mongeau, L. & Frankel, S. H. 2005 An experimental study of partially premixed flame sound. Proc. Combust. Inst. 30, 17071715.
Spalding, D. B. 1971 Mixing and chemical reaction in steady confined turbulent flames. Symp. (Intl) Combust. 13, 649657.
Strahle, W. C. 1971 On combustion generated noise. J. Fluid Mech. 49, 399414.
Strahle, W. C. 1973 Refraction, convection and diffusion flame effects in combustion generated noise. Proc. Combust. Inst. 14, 527535.
Strahle, W. C. 1976 Convergence of theory and experiment in direct combustion-generated noise. Prog. Astronaut. Aeronaut. 43, 467481.
Strahle, W. C. 1978 Combustion noise. Prog. Energy Combust. Sci. 4, 157176.
Strahle, W. C. & Shivashankara, B. N. 1975 A rational correlation of combustion noise results from open turbulent premixed flames. Proc. Combust. Inst. 15, 13791385.
Swaminathan, N., Balachandran, R., Xu, G. & Dowling, A. P. 2011 On the correlation of heat release rate in turbulent premixed flames. Proc. Combust. Inst. 33, 15331541.
Swaminathan, N. & Grout, R. W. 2006 Interaction of turbulence and scalar fields in premixed flames. Phys. Fluids 18, 045102.
Wasle, J., Winkler, A. & Sattlemayer, T. 2005 Spatial coherence of the heat release fluctuations in turbulent jet and swirl flames. Flow Turbul. Combust. 75, 2950.
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