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Phys. Fluids A 5, 3255 (1993); http://dx.doi.org/10.1063/1.858682 (10 pages)

Measurement and prediction of the conditional variance in a turbulent reactive‐scalar mixing layer

J. D. Li and R. W. Bilger

Department of Mechanical Engineering, The University of Sydney, Sydney, N.S.W. 2006, Australia

(Received 22 March 1993; accepted 3 August 1993)

Equations for the second‐order conditional moments of reactive scalars are derived. For one‐step reaction with equal diffusivity these can be reduced to a single equation for the conditional variance, which is the same for all reactive species. The various terms in the equation have been modeled in light of the experimental data for a turbulent reactive‐scalar mixing layer. In comparison with conventional second‐order moment closure the conditional means do not vary with the cross‐stream position, the turbulent flux in the cross‐stream direction is negligible while the source term needs special attention. Experimental results of the conditional variance at different points across the mixing layer and at various streamwise locations are presented. At each streamwise location the data in general collapse onto each other although the scatter is large. The modeled equations have been solved numerically and are compared with the experimental data. The prediction generally agrees with the data. Two models have been used for the conditional conserved scalar dissipation. One model assumes that the conditional scalar dissipation equals the unconditional one and the other is derived from a mapping closure. Both models give almost identical results for the conditional means and only a small difference for the conditional variance.

ARTICLE DATA

PUBLICATION DATA

ISSN

0899-8213 (print)  
1089-7666 (online)

For access to fully linked references, you need to log in.
    R. W. Bilger, “Conditional moment closure for turbulent reacting flow,” Phys. Fluids A 5, 436 (1993PFADEB000005000002000436000001).

    E. E. O'Brien and T. L. Jiang, “The conditional dissipation rate of an initially binary scalar in homogeneous turbulence,” Phys. Fluids A 3, 3121 (1992PFADEB000003000012003121000001).

    K. Y. Jayesh and Z. Warhaft, “Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in gridgenerated turbulence,” Phys. Fluids A 4, 2292 (1992PFADEB000004000010002292000001).

    B. K. Ma and Z. Warhaft, “Some aspects of the thermal mixing layer in grid turbulence,” Phys. Fluids 29, 3114 (1986PFLDAS000029000010003114000001).


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