PDF model based on Langevin equation for polydispersed two-phase flows applied to a bluff-body gas-solid flow

Physics of Fluids

Volumn 16, Issue 7, 2004, Pages 2419-2431

  Minier, Jean Pierre ^a   Peirano, Eric ^b   Chibbaro, Sergio ^c  

^a EDF R AND D   (France)

^b ADEME Der   (France)

^c UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; DISPERSIONS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; TURBULENCE; VECTORS;

GAS-SOLID FLOW; LANGEVIN EQUATION; MASS CONTINUITY CONSTRAINT; PARTICLE PHASES;

FLUID DYNAMICS;

EQUATION; GAS-SOLID TWO-PHASE FLOW; MATHEMATICAL ANALYSIS; MODEL; TWO-PHASE FLOW;

EID: 3242700401     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1718972     Document Type: Article

References (33)

1. R. Gatignol, "The Faxén formulae for a rigid particle in an unsteady non-uniform Stokes flow," J. Mec. Theor. Appl. 1, 143 (1983).
2. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a nonuniform flow," Phys. Fluids 26, 883 (1983).
3. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops and Particles (Academic, New York, 1978).
4. M. Boivin, O. Simonin, and K. D. Squires, "Direct numerical simulation of turbulence modulation by particles in isotropic turbulence," J. Fluid Mech. 375, 235 (1998).
5. O. Simonin, E. Deutsch, and J.-P. Minier, "Eulerian prediction of the fluid/particle correlated motion in turbulent two-phase flows," Appl. Sci. Res. 51, 275 (1993).
6. O. Simonin, "Continuum modelling of dispersed two-phase flows," in Combustion and Turbulence in Two-Phase Flows, Lecture Series Programme, Von Karman Institute, 1996.
7. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
8. E. Peirano and J.-P. Minier, "A probabilistic formalism and hierarchy of models for polydispersed turbulent two-phase flows," Phys. Rev. E 65, 046301 (2002).
9. J.-P. Minier and E. Peirano, "The PDF approach to polydispersed turbulent two-phase flows," Phys. Rep. 352, 1 (2001).
10. F. Mashayek and R. V. R. Pandya, "Analytical description of particle/ droplet-laden turbulent flows," Prog. Energy Combust. Sci. 29, 329 (2003).
11. D. E. Stock, "Particle dispersion in flowing gases," J. Fluids Eng. 118, 4 (1996).
12. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2nd ed. (Springer-Verlag, Berlin, 1990).
13. R. Balescu, Statistical Dynamics: Matter out of Equilibrium (Imperial College, London, 1997).
14. I. Arnold, Stochastic Differential Equations: Theory and Applications (Wiley, New York, 1974).
15. S. B. Pope, "Lagrangian pdf methods for turbulent reactive flows," Annu. Rev. Fluid Mech. 26, 23 (1994).
16. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT, Cambridge, MA, 1975).
17. H. Haken, "Synergetics: An overview," Rep. Prog. Phys. 52, 515 (1989).
18. J.-P. Minier and J. Pozorski, "Derivation of a pdf model for turbulent flows based on principles from statistical physics," Phys. Fluids 9, 1748 (1997).
19. M. W. Reeks, "On the continuum equations for dispersed particles in nonuniform flows," Phys. Fluids A 4, 1290 (1992).
20. R. V. R. Pandya and F. Mashayek, "Non-isothermal dispersed phase of particles in turbulent flow," J. Fluid Mech. 475, 205 (2003).
21. J. Pozorski and J.-P. Minier, "On the Lagrangian turbulent dispersion models based on the Langevin equation," Int. J. Multiphase Flow 24, 913 (1998).
22. R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles (Adam Hilger, New York, 1988).
23. D. Talay, "Simulation of stochastic differential equation," in Probabilistic Methods in Applied Physics, edited by P. Kree and W. Wedig (Springer-Verlag, Berlin, 1995).
24. J. Xu and S. B. Pope, "Assessment of numerical accuracy of PDF/Monte-Carlo methods for turbulent reacting flows," J. Comput. Phys. 152, 192 (1999).
25. P. Jenny, S. B. Pope, M. Muradoglu, and D. A. Caughey, "A hybrid algorithm for the joint PDF equation of turbulent reactive flows," J. Comput. Phys. 166, 218 (2001).
26. P. Jenny, M. Muradoglu, K. Liu, S. B. Pope, and D. A. Caughey, "Pdf simulations of a bluff-body stabilized flow," J. Comput. Phys. 169, 1 (2001).
27. P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer-Verlag, Berlin, 1992).
28. J.-P. Minier, E. Peirano, and S. Chibbaro, "Weak first- and second order numerical schemes for stochastic differential equations appearing in Lagrangian two-phase flow modelling," Monte Carlo Method Appl. 9, 93 (2003).
29. J.-P. Minier, R. Cao, and S. B. Pope, "Comment on the article 'An effective particle tracing scheme on structured/unstructured grids in hybrid finite volume/pdf Monte Carlo methods' by Li and Modest," J. Comput. Phys. 186, 356 (2003).
30. S. B. Pope, "Particle method for turbulent flows: Integration of stochastic model equations," J. Comput. Phys. 117, 332 (1995).
31. T. Ishima, J. Borrée, P. Fanouillère, and I. Flour, "Presentation of a data base: Confined bluff body flow laden with solid particles," 9th Workshop on Two-phase Flow Predictions, Martin-Luther-Universität, Halle-Wittenburg, Germany, 13-16 April 1999.
32. B. E. Launder, G. J. Reece, and W. Rodi, "Progress in the development of a Reynolds stress turbulence closure," J. Fluid Mech. 68, 537 (1975).
33. B. E. Launder, "Second-moment closure: Present ... and future?" Int. J. Heat Fluid Flow 10, 282 (1989).