On the probability density function model for the transport of particles in anisotropic turbulent flow

Physics of Fluids

Volumn 16, Issue 6, 2004, Pages 1956-1964

  Zaichik, Leonid I ^a   Oesterlé, Benoit ^b   Alipchenkov, Vladimir M ^a  

^a JOINT INSTITUTE FOR HIGH TEMPERATURES   (Russian Federation)

^b NANCY UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; SHEAR FLOW; TRANSPORT PROPERTIES; TURBULENT FLOW; VELOCITY MEASUREMENT;

ANISOTROPIC TIME SCALE (ATS) MODEL; ANISOTROPIC TURBULENT FLOWS; LAGRANGIAN AUTOCORRELATIONS; PARTICLE VELOCITY DISTRIBUTION;

FLUID DYNAMICS;

ANISOTROPIC MEDIUM; DENSITY; PROBABILITY; TRANSPORT; TURBULENT FLOW;

EID: 2942650415     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1709774     Document Type: Article

References (24)

1. S. B. Pope, "Stochastic Lagrangian models of velocity in homogeneous turbulent shear flow," Phys. Fluids 14, 1696 (2002).
2. A. Berlemont, P. Desjonquères, and G. Gouesbet, "Particle Lagrangian simulation in turbulent flows," Int. J. Multiphase Flow 16, 19 (1990).
3. Q. Zhou and M. A. Leschziner, "Modeling particle dispersion in anisotropic turbulence," in Proceedings of the ECCOMAS Computer Fluid Dynamics Conference (Paris, 1996), pp. 577-583.
4. P. Pascal and B. Oesterlé, "On the dispersion of discrete particles moving in a turbulent shear flow," Int. J. Multiphase Flow 26, 293 (2000).
5. L. I. Zaichik, "A statistical model of particle transport and heat transfer in turbulent shear flows," Phys. Fluids 11, 1521 (1999).
6. I. V. Derevich and L. I. Zaichik, "An equation of probability density of velocity and temperature of particles in a turbulent flow modeled by a random Gaussian field," Appl. Math. Mech. 54, 722 (1990).
7. K. E. Hyland, S. McKee, and M. W. Reeks, "Derivation of a pdf kinetic equation for the transport of particles in turbulent flows," J. Phys. A 32, 6169 (1999).
8. I. V. Derevich, "Statistical modeling of mass transfer in turbulent two-phase dispersed flows. 1. Model development," Int. J. Heat Mass Transfer 43, 3709 (2000).
9. R. V. R. Pandya and F. Mashayek, "Kinetic equation for particle transport and heat transfer in non-isothermal flows," AIAA Pap. 2002-0337 (2002).
10. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
11. M. W. Reeks, "On the dispersion of small particles suspended in an isotropic turbulent fluid," J. Fluid Mech. 83, 529 (1977).
12. L.-P. Wang and D. E. Stock, "Dispersion of heavy particles in turbulent motion," J. Atmos. Sci. 50, 1897 (1993).
13. L. I. Zaichik and V. M. Alipchenkov, "Interaction time of turbulent eddies and colliding particles," Thermophys. and Aeromech. 6, 493 (1999).
14. J. J. Riley and S. Corrsin, "The relation of turbulent diffusivities to Lagrangian velocity statistics for the simplest shear flow," J. Geophys. Res. 79, 1768 (1974).
15. B. L. Sawford and P. K. Yeung, "Eulerian acceleration statistics as a discriminator between Lagrangian stochastic models in uniform shear flow," Phys. Fluids 12, 2033 (2000).
16. B. L. Sawford and P. K. Yeung, "Lagrangian statistics in uniform shear flow: Direct numerical simulation and Lagrangian stochastic model," Phys. Fluids 13, 2627 (2001).
17. O. Simonin, E. Deutsch, and M. Boivin, "Large eddy simulation and second-moment closure model of particle fluctuating motion in two-phase turbulent shear flows," in Turbulent Shear Flow 9, edited by F. Durst et al. (Springer-Verlag, Berlin, 1995), pp. 85-115.
18. J. Laviéville, O. Simonin, A. Berlemont, and Z. Chang, "Validation of inter-particle collision models based on large eddy simulation in gas-solid turbulent homogeneous shear flow," in Proceedings of the 7th International Symposium on Gas-Particle Flows, ASME Fluids Engineering Division Summer Meeting, 1997, FEDSM97-3623.
19. D. B. Taulbee, F. Mashayek, and C. Barré, "Simulation and Reynolds stress modeling of particle-laden turbulent shear stress," Int. J. Heat Fluid Flow 20, 368 (1999).
20. C. G. Speziale and N. Mac Giolla Mhuiris, "On the prediction of equilibrium states in homogeneous turbulence," J. Fluid Mech. 209, 591 (1989).
21. T. B. Gatski and C. G. Speziale, "On explicit algebraic stress models for complex turbulent flows," J. Fluid Mech. 254, 59 (1993).
22. L. M. Liljegren, "The effect of a mean fluid velocity gradient on the streamwise velocity variance of a particle suspended in a turbulent flow," Int. J. Multiphase Flow 19, 471 (1993).
23. 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).
24. S. Tavoularis and U. Karkin, "Further experiments on the evolution of turbulent stresses and scales in uniformly sheared turbulence," J. Fluid Mech. 204, 457 (1989).