0
TECHNICAL PAPERS

A Finite-Mode PDF Model for Turbulent Reacting Flows

[+] Author and Article Information
Kuochen Tsai, Paul A. Gillis, Subrata Sen

The Dow Chemical Company, 2301 N. Brazosport Blvd., B-1225, Freeport, TX 77541e-mail: ktsai@dow.com

Rodney O. Fox

Chemical Engineering Department, Iowa State University, Ames, Iowa 50011-2230e-mail: rofox@iastate.edu

J. Fluids Eng 124(1), 102-107 (Apr 25, 2001) (6 pages) doi:10.1115/1.1431546 History: Received August 30, 1999; Revised April 25, 2001
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.

References

Tsai,  K., and O’Brien,  E. E., 1993, “A Hybrid One- and Two-Point Approach for Isothermal Reacting Flows in Homogeneous Turbulence,” Phys. Fluids, 5, pp. 2901–2910.
Tsai, K., Charkrabarti, M., Fox, R. O., and Hill, J. C., 2001, “Evaluation of Micromixing Models for a Series-Parallel Reaction in Simulated Homogeneous Turbulence,” in preparation.
Pope,  S., 1985, “PDF Methods for Turbulent Reactive Flows,” Prog. Energy Combust. Sci., 28, pp. 119–192.
Fox,  R. O., 1992, “The Fokker-Plank Closure for Turbulent Molecular Mixing: Passive Scalars,” Phys. Fluids A, 4, pp. 1230–1244.
Tsai,  K., and Fox,  R. O., 1996, “PDF Modeling of Turbulent-Mixing Effects on Initiator Efficiency in a Tubular LDPE Reactor,” AIChE J., 42, pp. 2926–2940.
Magnussen, B. F., and Hjertager, B. H., 1976, “On Mathematical Models of Turbulent Combustion with Special Emphasis on Soot Formation and Combustion,” 16th Symp. (Int’l.) on Combustion, Cambridge, MA, Aug. 15–20.
Fox,  R. O., 1998, “On the Relationship Between Lagrangian Micromixing Models and Computational Fluid Dynamics,” Chem. Eng. Process., 37, pp. 521–535.
Villermaux, J., and Devillon, J. C., 1972, “Représentation de la Coalescence et de la Redispersion des Domaines de Ségrégation dans un Fluide Par un Modèle d’interaction Phénoménologique,” 2nd Int’l. Symp. Chem. React. Engng., Amsterdam B, pp. 1–13.
Dopazo,  C., 1975, “Probability Density Function Approach for a Turbulent Axisymmetric Heated Jet Centerline Evolution,” Phys. Fluids, 18, pp. 397–404.
Fox,  R. O., 1995, “The Spectral Relaxation Model of the Scalar Dissipation Rate in Homogeneous Turbulence,” Phys. Fluids, 6, pp. 334–348.
Tsai,  K., and Fox,  R. O., 1994, “PDF Simulation of a Turbulent Series-Parallel Reaction in an Axisymmetric Reactor,” Chem. Eng. Sci., 49, pp. 5141–5158.
Baldyga,  J., and Henczka,  M., 1997, “Turbulent Mixing and Parallel Chemical Reactions in a Pipe-Application of a Closure Model,” Récents Progrès en Génie des Procédés, 11, pp. 341–348.
Launder B. E., and Spalding D. B., 1972, Lecture in Mathematical Models of Turbulence, Academic Press, London, England.
Yakhot,  V., and Orszag,  S. A., 1986, “Renormalization Group Analysis of Turbulence: I Basic Theory,” J. Sci. Comput., 1, pp. 1–51.
Komori,  S., Nagata,  K., Kanzaki,  T., and Murakami,  Y., 1993, “Measurements of Mass Flux in a Turbulent Liquid Flow with a Chemical Reaction,” AIChE J., 39, pp. 1611–1620.
Corssin,  S., 1964, “The Isotropic Turbulent Mixer: Part II. Arbitrary Schmidt Number,” AIChE J., 10, pp. 870–877.
Li,  K., and Toor,  H. L., 1986, “Turbulent Reactive Mixing with a Series-Parallel Reaction: Effect of Mixing on Yield,” AIChE J., 32, pp. 1312–1320.
Kruis,  F. E., and Falk,  L., 1996, “Mixing and Reaction in a Tubular Jet Reactor: A Comparison of Experiments with a Model Based on a Prescribed PDF,” Chem. Eng. Sci., 51, pp. 2439–2448.
Tsai,  K., and Fox,  R. O., 1998, “The BMC/GIEM Model for Micromixing in Non-Premixed Turbulent Reacting Flows,” Ind. Eng. Chem. Res., 37, pp. 2131–2141.
Villermaux,  J., and Falk,  L., 1994, “A Generalized Mixing Model for Initial Contacting of Reactive Fluids,” Chem. Eng. Sci., 49, p. 5127.

Figures

Grahic Jump Location
Schematic diagram for the experiment of Komori et al. 15
Grahic Jump Location
Vertical profiles of inert tracer at the position of X/M=6 and X/M=12 predicted by Eq. (3). X is the axial distance and M is the mesh size (=0.02 m).
Grahic Jump Location
Vertical profiles of species A for the reactive mixing layer experiment predicted by the FMPDF model
Grahic Jump Location
Vertical profiles of species A mean concentration at X/M=6 predicted with different values of empirical parameters using the Magnussen model
Grahic Jump Location
Vertical profiles of species A predicted by Baldyga’s model

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In