Conditional Statistics in Turbulent Scalar Mixing and Reaction

AIChE Journal

Volumn 42, Issue 4, 1996, Pages 1149-1152

  Jaberi, F A ^a   Miller, R S ^a,b   Givi, P ^a  

^a State University of New York   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MIXING; MODELLING-MATHEMATICAL; TURBULENT FLOW;

CHEMICAL REACTIONS; DIFFERENTIAL EQUATIONS; DIFFUSION; MATHEMATICAL MODELS; MIXING; PROBABILITY DENSITY FUNCTION; STATISTICAL METHODS;

LINEAR CONDITIONAL DIFFUSION; MIXTURE FRACTION; TURBULENT SCALAR MIXING;

TURBULENT FLOW;

EID: 0030111714     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690420426     Document Type: Article

References (30)

1. Brodkey, R. S., ed., Turbulence in Mixing Operation, Academic Press, New York (1975).
2. Castaing, B., G. Gunaratne, F. Heslot, L. Kadanoff, A. Libchaber, S. Thomae, X. Z. Wu, S. Zaleski, and G. Zanetti, "Scaling of Hard Thermal Turbulence in Rayleigh-Bernard Convection," J. Fluid Mech., 204, 1 (1989).
3. Dopazo, C., "Recent Developments in pdf Methods," Turbulent Reacting Flows, Chap. 7, P. A. Libby and F. A. Williams, eds., Academic Press, London, pp. 375-474 (1994).
4. Dutta, A., and J. M. Tarbell, "Closure Models for Turbulent Reacting Flows," AIChE J., 35, 2013 (1989).
5. Frankel, S. H., C. K. Madnia, and P. Givi, "Comparative Assessment of Closures for Turbulent Reacting Flows," AIChE J., 39, 899 (1993).
6. Frankel, S. H., "Probabilistic and Deterministic Description of Turbulent Flows with Nonpremixed Reactants," PhD Thesis, Dept. of Mechanical and Aerospace Engineering, State Univ. of New York at Buffalo (1993).
7. Gao, F., "Mapping Closure and Non-Gaussianity of the Scalar Probability Density Functions in Isotropic Turbulence," Phys. Fluids A, 3, 2438 (1991).
8. Givi, P., and P. A. McMurtry, "Non-Premixed Reaction in Homogeneous Turbulence: Direct Numerical Simulations," AIChE J., 34, 1039 (1988).
9. Givi, P., "Model Free Simulations of Turbulent Reactive Flows," Prog. Energy Combust. Sci., 15, 1 (1989).
10. Gollub, J. P., J. Clarke, M. Gharib, B. Lane, and O. N. Mesquita, "Fluctuations and Transport in a Stirred Fluid with a Mean Gradient," Phys. Rev. Lett., 67, 3507 (1991).
11. Jaberi, F. A., "Mixing and Reaction in Homogeneous Turbulence," PhD Thesis, Dept. of Mechanical and Aerospace Engineering, State Univ. of New York at Buffalo (1996).
12. Jayesh and Z. Warhaft, "Probability Distribution, Conditional Dissipation, and Transport of Passive Temperature Fluctuations in Grid-Generated Turbulence," Phys. Fluids A, 4, 2292 (1992).
13. Kailasanath, P., K. R. Sreenivasan, and J. R. Saylor, "Conditional Scalar Dissipation Rates in Turbulent Wakes, Jets, and Boundary Layers," Phys. Fluids A, 5, 3207 (1993).
14. Kerstein, A. R., "Linear-Eddy Modeling of Turbulent Transport. Part 6. Microstructure of Diffusive Scalar Mixing Fields," J. Fluid Mech., 231, 361 (1991).
15. Kimura, Y., and R. H. Kraichnan, "Statistics of an Advected Passive Scalar," Phys. Fluids A, 5, 2264 (1993).
16. Kosály, G., "Non-Premixed Simple Reaction in Homogeneous Turbulence," AIChE J., 33, 1998 (1987).
17. Lane, B. R., O. N. Mesquita, S. R. Meyers, and J. P. Gollub, "Probability Distributions and Thermal Transport in a Turbulent Grid Flow," Phys. Fluids A, 5, 2255 (1993).
18. Leonard, A. D., and J. C. Hill, "Scalar Dissipation and Mixing in Turbulent Reacting Flows," Phys. Fluids A, 3, 1286 (1991).
19. Libby, P. A., and F. A. Williams, eds., Turbulent Reacting Flows, Topics in Applied Physics, Vol. 44, Springer-Verlag, Heidelberg (1980).
20. Madnia, C. K., S. H. Frankel, and P. Givi, "Reactant Conversion in Homogeneous Turbulence: Mathematical Modeling, Computational Validations and Practical Applications," Theoret. Comput. Fluid Dynamics, 4, 79 (1992).
21. Metais, O., and M. Lesieur, "Spectral Large-Eddy Simulation of Isotropic and Stably Stratified Turbulence," J. Fluid Mech., 239, 157 (1992).
22. Miller, R. S., S. H. Frankel, C. K. Madnia, and P. Givi, "Johnson-Edgeworth Translation for Probability Modeling of Binary Scalar Mixing in Turbulent Flows," Combust. Sci. and Tech., 91, 21 (1993).
23. O'Brien, E. E., "The Probability Density Function (PDF) Approach to Reacting Turbulent Flows," in Libby and Williams, Chap. 5, p. 185 (1980).
24. Pope, S. B., and E. S. C. Ching, "Stationary Probability Density Functions: An Exact Result," Phys. Fluids A, 5, 1529 (1993).
25. Pope, S. B., "PDF Methods for Turbulent Reactive Flows," Prog. Energy Combust. Sci., 11, 119 (1985).
26. Pumir, A., B. Shraiman, and E. D. Siggia, "Exponential Tails and Random Advection," Phys. Rev. Lett., 3, 2838 (1991).
27. Sinai, Y. G., and V. Yakhot, "Limiting Probability Distributions of a Passive Scalar in a Random Velocity Field," Phys. Rev. Lett., 63, 1962 (1989).
28. Toor, H. L., "Mass Transfer in Dilute Turbulent and Nonturbulent Systems with Rapid Irreversible Reactions and Equal Diffusivities," AIChE J., 8, 70 (1962).
29. Toor, H. L., "The Non-Premixed Reaction: A + B → Products," in Brodkey, pp. 123-166 (1975).
30. Valiño, L., C. Dopazo, and J. Ros, "Quasistationary Probability Density Functions in the Turbulent Mixing of a Scalar Field," Phys. Rev. Lett., 72, 3518 (1994).