Exact analytic solutions to turbulent particle flow equations

Physics of Fluids

Volumn 11, Issue 5, 1999, Pages 1249-1261

  Hyland, K E ^a,c   McKee, S ^a   Reeks, M W ^b,c  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b Berkeley Centre   (United Kingdom)

^c JOINT RESEARCH CENTRE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000591472     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869896     Document Type: Article

References (16)

1. S. Chandrasekar, "Stochastic problems in physics and astronomy," Rev. Mod. Phys. 15, 1 (1943).
2. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, Cambridge, 1952).
3. S. B. Pope, "Application of the velocity-dissipation probability density function model to inhomogeneous turbulent flows," Phys. Fluids A 3, 1947 (1991).
4. S. B. Pope, "PDF methods for turbulent reactive flows," Prog. Energy Combust. Sci. 11, 119 (1985).
5. J. M. MacInnes and F. V. Bracco, "Stochastic particle dispersion modelshy; ing and the tracer-particle limit," Phys. Fluids A 4, 2809 (1992).
6. M. W. Reeks, "On the continuum equations for dispersed particles in nonuniform flows," Phys. Fluids A 4, 1290 (1992).
7. M. W. Reeks, "On the constitutive relations for dispersed particles in nonuniform flows 1. Dispersion in a simple shear flow," Phys. Fluids A 5, 750 (1993).
8. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a nonuniform flow," Phys. Fluids 26, 883 (1983).
9. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applishy; cations, 2nd ed. (Springer, New York, 1989).
10. The Numerical Algorithms Group, The NAG Fortran Library Manual, Mark 14 (1990).
11. K. E. Hyland, "The Modeling of Particle Dispersion in Turbulent Fluid Flows," Ph.D. thesis, The University of Strathclyde, Glasgow, Scotland, 1994.
12. M. W. Reeks, "On a kinetic equation for the transport of particles in turbulent flows," Phys. Fluids A 3, 446 (1991).
13. S. Wolfram, Mathematica: A System for Doing Mathematics by Computer (Addison-Wesley, Redwood City, California, 1988).
14. S. Corrsin, "An account of some features of the phenomenon in fully turbulent regions," in Proceedings of the Iowa Thermodynamics Symposhy; sium, University of Iowa, 1953, pp. 5-30 (unpublished).
15. A. G. Hutton, R. M. Smith, and S. Hickmott, "The computation of turbushy; lent flows of industrial complexity by the finite element method: Progress and prospects," Int. J. Numer. Methods Fluids 7, 1277 (1987).
16. Seventh Workshop on Two-Phase Flow Prediction, Technical University of Erlangen, 11-14 April 1994, edited by M. Sommerfeld (unpublished).