Skip to main content
Log in

Structure of nonpremixed reaction zones in numerical isotropic turbulence

  • Published:
Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript

Abstract

Results from direct numerical simulation of low heat release, turbulent nonpremixed reacting flows modeled using single-step reactions with constant and temperature-dependent rate laws are discussed, and compared with laminar predictions. The mixture fraction and its dissipation rate are statistically independent in regions of intense reaction, partially supporting a commonly made assumption in flamelet-based models. In the presence of a finite rate reverse reaction, the reaction zone spans the entire range of mixture fraction. The joint pdf of the reactive scalars evolves to an equilibrium that is dictated by a balance between the reactive and mixing fluxes in composition space. When the temperature-dependent rate law is implemented, strain-induced extinction is observed for a Zel'dovich (modified) number of 10. As the ratio of local flow to chemical time scale is decreased below unity, a larger fraction of the flow field experiences this mode of extinction. The critical turbulent scalar dissipation rate is compared with laminar values and asymptotic predictions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Antonia, R.A., and Sreenivasan, K.R. (1977). Lognormality of temperature dissipation in a turbulent boundary layer. Phys. Fluids A, 20, 1800.

    Google Scholar 

  • Ashurst, W.T., Kerstein, A.R., Kerr, R.M., and Gibson, C.H. (1987). Alignments of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids A, 30, 2343.

    Google Scholar 

  • Batchelor, G.K. (1952). The effect of homogeneous turbulence on material lines and surfaces. Proc. Roy. Soc. London Ser. A, 213, 349.

    Google Scholar 

  • Bilger, R.W. (1976). The structure of diffusion flames. Combust. Sci. Technol., 13, 155.

    Google Scholar 

  • Bilger R.W. (1979). Effects of kinetics and mixing in turbulent combustion. Combust. Sci. Technol., 19, 89.

    Google Scholar 

  • Bilger, R.W. (1980). Perturbation analysis of turbulent nonpremixed combustion. Combust. Sci. Technol., 22, 251.

    Google Scholar 

  • Bilger, R.W. (1985). In Turbulent Reacting Flows (Libby and Williams, eds.). Springer-Verlag, New York, p. 65.

    Google Scholar 

  • Bilger, R.W. (1988). The structure of turbulent nonpremixed flames. Proceedings of the Twenty-Second Symposium (International) on Combustion, p. 475.

  • Bilger, R.W. (1989). Turbulent diffusion flames. Ann. Rev. Fluid Mech., 21, 101.

    Google Scholar 

  • Bilger, R.W. (1994). Private communications.

  • Chen, W.Y. (1971). Lognormality of small-scale structure of turbulence. Phys. Fluids A, 14, 1639.

    Google Scholar 

  • Chen, J.H., Mahalingam, S., Puri, I.K., and Vervisch, L. (1992). Effect of finite-rate chemistry and unequal schmidt numbers on turbulent non-premixed flames modeled with single-step chemistry. Presented at the WSS/CI Fall Meeting, Berkeley, CA, October 12.

  • Eswaran, V., and Pope, S.B. (1988). Direct numerical simulation of the turbulent mixing of a passive scalar. Phys. Fluids A, 31, 506.

    Google Scholar 

  • Fendell, F.E. (1967). Combustion in initially unmixed reactants for one-step reversible chemical kinetics. Acta Astronaut., 13, 183.

    Google Scholar 

  • Fox, R.O., Hill, J.C., Gao, F., Moser, R.D., and Rogers, M.M. (1992). Stochastic modeling of turbulent reacting flows. CTR Summer Proceedings, p. 403.

  • Givi, P. (1989). Model-free simulations of turbulent reactive flows. Progr. Energy Combust. Sci., 15, 1.

    Google Scholar 

  • Grcar, J. (1991). TWOPNT. Report No. SAND91-8230, Sandia National Laboratories, Livermore, CA.

    Google Scholar 

  • Gurvich, A.S., and Yaglom, A.M. (1967). Breakdown of eddies and probability distribution for small-scale turbulence. Phys. Fluids Suppl., 10, S59.

    Google Scholar 

  • Hill, J.C. (1979). Proceedings of the Second R.F. Ruth Chemical Engineering Research Symposium, Ames, IA.

    Google Scholar 

  • Kerr, R.M. (1985). Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech., 153, 31.

    Google Scholar 

  • Leonard, A.D. (1989). Direct numerical simulations of chemically reacting turbulent flows. Ph.D. Thesis, Department of Chemical Engineering, Iowa State University, Ames, IA.

    Google Scholar 

  • Leonard, A.D., and Hill, J.C. (1991). Scalar dissipation and mixing in turbulent reacting flows. Phys. Fluids A, 3, 1286.

    Google Scholar 

  • Leonard, A.D., Hill, J.C., Mahalingam, S., and Ferziger, J.H. (1988). Analysis of homogeneous turbulent reacting flows. CTR Summer Proceedings, p. 243.

  • Liew, S.K., Bray, K.N.C., and Moss, J.B. (1984). A stretched laminar flamelet model of turbulent nonpremixed combustion. Combust. Flame, 56, 199.

    Google Scholar 

  • Liñán, A. (1974). The asymptotic structure of counterflow diffusion flames for large activation energies. Acta Astronaut., 1, 1007.

    Google Scholar 

  • Mahalingam, S., Chen, J.H., Vervisch, L. (1995). Finite-rate chemistry and transient effects in direct numerical simulations of turbulent non-premixed flames. Combust. Flame, 102, 285.

    Google Scholar 

  • McMurtry, P.A., and Givi, P. (1989). Direct numerical simulation of mixing and reactions in a nonpremixed homogeneous turbulent flow. Combust. Flame, 77, 171.

    Google Scholar 

  • Mell, W.E., Nilsen, V., Kosály, G., and Riley, J.J. (1994). Investigation of closure models for nonpremixed turbulent reacting flows. Phys. Fluids, 6, 1331.

    Google Scholar 

  • Meyers, R.E., and O'Brien, E.E. (1981). The joint pdf of a scalar and its gradient at a point in a turbulent fluid. Combust. Sci. Technol., 26, 123.

    Google Scholar 

  • Montgomery, C.J., Kosály, G., and Riley, J.J. (1993). Direct numerical simulation of turbulent reacting flow using a reduced hydrogen-oxygen mechanism. Combust. Flame, 95, 247.

    Google Scholar 

  • Namazian, M., Schefer, R.W., and Kelly, J. (1988). Scalar dissipation measurements in the developing region of a jet. Combust. Flame, 74, 147.

    Google Scholar 

  • Nomura, K.K., and Elghobashi, S.E. (1992). Mixing characteristics of an inhomogeneous scalar in isotropic homogeneous sheared turbulence. Phys. Fluids A, 4, 606.

    Google Scholar 

  • Peters, N. (1983). Local quenching due to flame stretch and nonpremixed turbulent combustion. Combust. Sci. Technol., 30, 1.

    Google Scholar 

  • Peters, N. (1984). Laminar diffusion flamelet models in non-premixed turbulent combustion. Progr. Energy Combust. Sci., 10, 319.

    Google Scholar 

  • Peters, N. (1986). Laminar flamelet concepts in turbulent combustion. Proceedings of the Twenty-First Symposium (International) on Combustion, p. 1231.

  • Peters, N., and Williams, F.A. (1984). Effects of chemical equilibrium on the structure and extinction of laminar diffusion flames. Progr. Astro. Aero., 95, 37.

    Google Scholar 

  • Riley, J.J., Metcalfe, R.W., and Orszag, S.A. (1986). Direct numerical simulation of chemically reacting turbulent mixing layers. Phys. Fluids, 29, 406.

    Google Scholar 

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

    Google Scholar 

  • Smooke, M.D., and Giovangigli, V. (1992). In Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane Air Flame (M.D. Smooke, ed.). Springer-Verlag, New York, p. 1.

    Google Scholar 

  • Starner, S.H., Bilger, R.W., Lyons, K.M., Frank, J.H., and Long, M.B. (1993). Conserved scalar measurements in turbulent diffusion flames by a Raman and Rayleigh ribbon imaging method. Presented at the WSS/CI Vall meeting, Menlo Park, CA.

  • Swaminathan, N. (1994). Structure and dynamics of turbulent and laminar reaction zones. Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, CO.

    Google Scholar 

  • Tsuji, H. (1982). Counterflow diffusion flames. Progr. Energy Combust. Sci., 8, 93.

    Google Scholar 

  • Williams, F.A. (1985). Combustion Theory, Benjamin/Cummings, Menlo Park, CA, pp. 155, 406–407.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by M.Y. Hussaini

The first two authors express their acknowledgment to the donors of The Petroleum Research Fund, administered by the American Chemical Society for partial support of this work through a type G grant. We also acknowledge the Council for Research and Creative Writing at the University of Colorado for providing partial financial support.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Swaminathan, N., Mahalingam, S. & Kerr, R.M. Structure of nonpremixed reaction zones in numerical isotropic turbulence. Theoret. Comput. Fluid Dynamics 8, 201–218 (1996). https://doi.org/10.1007/BF00418058

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00418058

Keywords

Navigation