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Investigation of Modeling for Non-Premixed Turbulent Combustion

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Abstract

A method for predicting filtered chemical species concentrations and filtered reaction rates in Large-Eddy Simulations of non-premixed, non-isothermal, turbulent reacting flows has been demonstrated to be quite accurate for higher Damköhler numbers. This subgrid-scale model is based on flamelet theory and uses presumed forms for both the dissipation rate and subgrid-scale probability density function of a conserved scalar. Inputs to the model are the chemistry rates, the Favre-filtered scalar, and its subgrid-scale variance and filtered dissipation rate. In this paper, models for the filtered dissipation rate and subgrid-scale variance are evaluated by filtering data from 5123-point Direct Numerical Simulations of a single-step, isothermal reaction developing in the isotropic, incompressible, decaying turbulence field of Comte-Bellot and Corrsin. Both the subgrid-scale variance and the filtered dissipation rate models (the ”sub-models”) are found to be reasonably accurate. The effect of the errors introduced by the sub-models on the overall model is found to be small, and the overall model is shown to accurately predict the spatial average of the filtered species concentrations over a wide range of times.

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References

  1. Bilger, R.W., Turbulent flows with nonpremixed reactants. In Libby, P.A. and Williams, F.A. (eds), Turbulent Reacting Flows, Topics in Applied Physics, Vol. 44. Springer-Verlag, Berlin (1980) pp. 65–113.

    Google Scholar 

  2. Branley, N. and Jones, W.P., Large eddy simulation of a turbulent non-premixed flame. In: Proceedings of the Eleventh Symposium on Turbulent Shear Flows, Grenoble, France (1997) pp. 21.1–21.6.

  3. Buch, K.A. and Dahm, W. J.A., Experimental-study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part I: Sc » 1. J. Fluid Mech. 317 (1996) 21–71.

    Google Scholar 

  4. Buriko, Y.Y., Kuznetsov, V.R., Volkov, D.V., Zaitsev, S.A. and Uryvsky, A.F., A test of a flamelet model for turbulent nonpremixed combustion. Combust. Flame 96 (1994) 104–120.

    Google Scholar 

  5. Colucci, P.J., Jaberi, F.A., Givi, P. and Pope, S.B., Filtered density function for large eddy simulation of turbulent reacting flows. Phys. Fluids 10 (1998) 499–515.

    Article  Google Scholar 

  6. Comte-Bellot, G. and Corrsin, S., Simple Eulerian time correlation of full and narrow-band velocity signals in grid-generated, 'isotropic' turbulence. J. Fluid Mech. 48 (1971) 273–337.

    Google Scholar 

  7. Cook, A.W., On the simulation and modeling of turbulent reacting flows. Ph.D. Thesis. University of Washington, Seattle, WA (1996).

    Google Scholar 

  8. Cook, A.W. and Riley, J.J., A subgrid model for equilibrium chemistry in turbulent flows. Phys. Fluids 6 (1994) 2868–2870.

    Article  Google Scholar 

  9. Cook, A.W. and Riley, J.J., Subgrid-scale modeling for turbulent, reacting flows. Combust. Flame 112 (1997) 593–606.

    Article  Google Scholar 

  10. Cook, A.W., Riley, J.J. and Kosály, G., A laminar flamelet approach to subgrid-scale chemistry in turbulent flows. Combust. Flame 109 (1997) 332–341.

    Article  Google Scholar 

  11. de Bruyn Kops, S.M. and Riley, J.J., Direct numerical simulation of laboratory experiments in isotropic turbulence. Phys. Fluids 10 (1998) 2125–2127.

    Google Scholar 

  12. Frankel, S.H., Adumitroaie, V., Madnia, C.K. and Givi, P., Large-eddy simulation of turbulent reacting flows by assumed PDF methods. In: Engineering Applications of Large Eddy Simulations. ASME, New York (1993) pp. 81–101.

  13. Fureby, C., Lundgren, E. and Moller, S.I., Large-eddy simulations of bluff body stabilized flames. In: 25th Symposium (International) on Combustion. Combustion Institute, Pittsburgh, PA (1994) pp. 1257–1264.

  14. Gao, F. and O'Brien, E.E., A large-eddy simulation scheme for turbulent reacting flows. Phys. Fluids A 5 (1993) 1282–1284.

    Article  Google Scholar 

  15. Germano, M., Piomelli, U., Moin, P. and Cabot, W.H., A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3 (1991) 1760–1765.

    Article  Google Scholar 

  16. Gibson, C.H. and Libby, P.A., On turbulent flows with fast chemical reactions. Part II. The distribution of reactants and products near a reaction surface. Combust. Sci. Technol. 6 (1972) 29–35.

    Google Scholar 

  17. Girimaji, S.S. and Zhou, Y., Analysis and modeling of subgrid scalar mixing using numerical data. Phys. Fluids A 8 (1996) 1224–1236.

    Article  Google Scholar 

  18. Givi, P., Model free simulations of turbulent reactive flows. Prog. Energy Combust. Sci. 15 (1989) 1–107.

    Article  Google Scholar 

  19. Jiménez, J., Liñan, A., Rogers, M.M. and Higuera, F.J., A-priori testing of sub-grid models for chemically reacting nonpremixed turbulent shear flows. J. Fluid Mech. 349 (1997) 149–171.

    Article  Google Scholar 

  20. Kuznetsov, V.R. and Sabel'nikov, V.A., Turbulence and Combustion. Hemisphere, New York (1990).

    Google Scholar 

  21. Lentini, D., Assessment of the stretched laminar flamelet approach for non-premixed turbulent combustion. Combust. Sci. Technol. 100 (1994) 95–122.

    Google Scholar 

  22. Libby, P.A. and Williams, F.A., Turbulent Reacting Flows, Topics in Applied Physics, Vol. 44. Springer-Verlag, Berlin (1980).

    Google Scholar 

  23. Liou, T.M., Lien, W.Y. and Hwang, P.W., Large-eddy simulations of turbulent reacting flows in chamber with gaseous ethylene injecting through the porous wall. Combust. Flame 99 (1994) 591–600.

    Article  Google Scholar 

  24. Mathey, F. and Chollet, J.P., Sub-grid model of scalar mixing for large eddy simulations of turbulent flows. In: The Second ERCOFTAC Workshop on Direct and Large Eddy Simulations, Grenoble, France (1996).

  25. McMurtry, P.A., Menon, S. and Kerstein, A.R., A linear eddy sub-grid model for turbulent reacting flows: Application to hydrogen-air combustion. In: Twenty-Fourth Symposium (International) on Combustion. The Combustion Institute, Pittsburgh, PA (1992) pp. 271–278.

  26. McMurtry, P.A., Riley, J.J. and Metcalfe, R.W., Effects of heat release on the large-scale structures in turbulent mixing layers. J. Fluid Mech. 199 (1989) 297–332.

    Google Scholar 

  27. Mell, W.E., Nilsen, V., Kosály, G. and Riley, J.J., Investigation of closure models for turbulent reacting flow. Phys. Fluids A 6 (1994) 1331–1356.

    Article  Google Scholar 

  28. Moin, P., Squires, K., Cabot, W. and Lee, S., A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A 3 (1991) 2746–2757.

    Article  Google Scholar 

  29. Nilsen, V. and Kosály, G., Differentially diffusing scalars in turbulence. Phys. Fluids 9 (1997) 3386–3397.

    Article  Google Scholar 

  30. Nilsen, V. and Kosály, G., Differential diffusion in turbulent reacting flows. Combust. Flame (accepted for publication).

  31. Pao, Y.H., Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8 (1965) 1063–1075.

    Google Scholar 

  32. Peters, N., Laminar diffusion flamelet models in non-premixed turbulent combustion. Prog. Energy Combust. Sci. 10 (1984) 319–339.

    Article  Google Scholar 

  33. Pitsch, H., Chen, M. and Peters, N., Unsteady flamelet modeling of turbulent hydrogen/air diffusion flames. 27th International Symposium on Combustion, Denver, CO (1998).

  34. Réveillon, J. and Vervisch, L., Response of the dynamic LES model to heat release induced effects. Phys. Fluids A 8 (1996) 2248–2250.

    Article  Google Scholar 

  35. Ruetsch, G.R. and Maxey, M.R., Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence. Phys. Fluids A 3 (1991) 1587–1597.

    Article  Google Scholar 

  36. Sanders, J.P.H., Chen, J.Y. and Gökalp, I., Flamelet based modeling of NO formation in turbulent hydrogen jet diffusion flames. Combust. Flame 111 (1997) 1–15.

    Google Scholar 

  37. Schmidt, H. and Schumann, U., Coherent structure of the convective boundary layer derived from large-eddy simulations. J. Fluid Mech. 200 (1989) 511–562.

    Google Scholar 

  38. Schumann, U., Large eddy simulation of turbulent diffusion with chemical reactions in the convective boundary layer. Atmos. Environ. 23 (1989) 1713–1727.

    Google Scholar 

  39. Siggia, E.D., Numerical study of small-scale intermittency in three-dimensional turbulence. J. Fluid Mech. 107 (1981) 375–406.

    Google Scholar 

  40. Smagorinsky, J., General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weather Rev. 91 (1963) 99–164.

    Google Scholar 

  41. Southerland, K.B. and Dahm, W.J.A., A four-dimensional experimental study of conserved scalar mixing in turbulent flows. Report No. 026779-12, The University of Michigan, Ann Arbor, MI (1994).

    Google Scholar 

  42. Sykes, R.I., Henn, D.S., Parker, S.F. and Lewellen, W.S., Large-eddy simulations of a turbulent reacting plume. Atmos. Environ A 26 (1992) 2565–2574.

    Google Scholar 

  43. Williams, F.A., Combustion Theory: The Fundamental Theory of Chemically Reacting Flow Systems. Benjamin-Cummings, Menlo Park, CA (1985).

    Google Scholar 

  44. Yoshizawa, A., Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Phys. Fluids A 29 (1986) 2152–2164.

    Article  Google Scholar 

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de Bruyn Kops, S., Riley, J., Kosály, G. et al. Investigation of Modeling for Non-Premixed Turbulent Combustion. Flow, Turbulence and Combustion 60, 105–122 (1998). https://doi.org/10.1023/A:1009986317078

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