Direct numerical simulation of reacting scalar mixing layers

Understanding the passive reaction of two chemical species in shear-free turbulence with order unity Schmidt number is important in atmospheric and turbulent combustion research. The canonical configuration considered here is the reacting scalar mixing layer; in this problem two initially separated species mix and react downstream of a turbulence generating grid in a wind tunnel. A conserved scalar in this flow is, with some restrictions, analogous to temperature in a thermal mixing layer, and considerable laboratory data are available on the latter. In this paper, results are reported from high resolution, direct numerical simulations in which the evolution of the conserved scalar field accurately matches that of the temperature field in existing laboratory experiments. Superimposed on the flow are passive, single-step reactions with a wide range of activation energies and stoichiometric ratios (r). The resulting data include species concentrations as a function of three spatial dimensions plus time, and...

[1]  Lars Sætran,et al.  Reaction in a scalar mixing layer , 1991, Journal of Fluid Mechanics.

[2]  James J. Riley,et al.  Progress in direct numerical simulations of turbulent reacting flows , 1989 .

[3]  S. Corrsin,et al.  Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.

[4]  George Kosály,et al.  Differential diffusion in turbulent reacting flows , 1998 .

[5]  F. Williams,et al.  Turbulent Reacting Flows , 1981 .

[6]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[7]  James J. Riley,et al.  Direct numerical simulation of laboratory experiments in isotropic turbulence , 1998 .

[8]  Franz Durst,et al.  Turbulent Shear Flows 6 , 1989 .

[9]  R. Bilger,et al.  Examination of closure models for mean chemical reaction rate using experimental results for an isothermal turbulent reacting flow , 1985 .

[10]  H. L. Toor Turbulent Mixing of Two Species with and without Chemical Reactions , 1969 .

[11]  James J. Riley,et al.  INVESTIGATION OF CLOSURE MODELS FOR NONPREMIXED TURBULENT REACTING FLOWS , 1994 .

[12]  N. Peters Laminar diffusion flamelet models in non-premixed turbulent combustion , 1984 .

[13]  P. Givi,et al.  MODELING OF THE FLUCTUATIONS AND THE FREQUENCY-SPECTRA OF REACTANTS IN TURBULENT SCALAR MIXING LAYERS , 1996 .

[14]  G. Kosály,et al.  Differentially diffusing scalars in turbulence , 1997 .

[15]  S. Pope,et al.  Nonpremixed turbulent reacting flow near extinction , 1995 .

[16]  Z. Warhaft,et al.  Some aspects of the thermal mixing layer in grid turbulence , 1986 .

[17]  Thermal mixing layer downstream of half‐heated turbulence grid , 1981 .

[18]  A. Townsend,et al.  Decay of turbulence in the final period , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[19]  A. L. Martínez,et al.  Asymptotic structure of counterflow diffusion flames for large activation energies , 1974 .

[20]  S. Pope,et al.  Direct numerical simulations of the turbulent mixing of a passive scalar , 1988 .

[21]  S. Corrsin Further Generalization of Onsager's Cascade Model for Turbulent Spectra , 1964 .

[22]  T. Poinsot,et al.  Asymptotic and numerical study of diffusion flames with variable Lewis number and finite rate chemistry , 1996 .

[23]  P. Libby Diffusion of heat downstream of a turbulence grid , 1975 .

[24]  Effects of curvature and unsteadiness in diffusion flames. Implications for turbulent diffusion combustion , 1994 .

[25]  J. Kawall,et al.  Intermittency in a thermal mixing layer , 1977, Journal of Fluid Mechanics.

[26]  Zellman Warhaft,et al.  The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence , 1983, Journal of Fluid Mechanics.

[27]  G. Kosály Frequency spectra of reactant fluctuations in turbulent flows , 1993, Journal of Fluid Mechanics.

[28]  W. E. Watt,et al.  THE TURBULENT TEMPERATURE MIXING LAYER , 1973 .

[29]  Julius S. Bendat,et al.  Engineering Applications of Correlation and Spectral Analysis , 1980 .

[30]  S. Corrsin,et al.  The reactant concentration spectrum in turbulent mixing with a first-order reaction , 1961, Journal of Fluid Mechanics.

[31]  Shankar Mahalingam,et al.  Finite-rate chemistry and transient effects in direct numerical simulations of turbulent nonpremixed flames , 1995 .

[32]  D. V. R. Seshadri,et al.  Further results on the thermal mixing layer downstream of a turbulence grid , 1981 .

[33]  N. Swaminathan,et al.  Direct Numerical Simulation of Turbulent Nonpremixed Hydrocarbon Reaction Zones Using aTwo-step Reduced Mechanism , 1997 .

[34]  J. Riley,et al.  Re-examining the thermal mixing layer with numerical simulations , 2000 .

[35]  Robert W. Bilger,et al.  Conditional moment closure for turbulent reacting flow , 1993 .