Differential and algebraic models for the second moments of particle velocity and temperature fluctuations in turbulent flows

Fluid Dynamics

Volumn 42, Issue 2, 2007, Pages 236-254

  Alipchenkov, V M ^a   Zaichik, L I ^a  

^a NONE

Author keywords

Anisotropic turbulence; Heat fluxes; Kinetic equation; Particles; Probability density function; Turbulent stresses

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; DIRECT NUMERICAL SIMULATION; HEAT FLUX; KINETICS; METHOD OF MOMENTS; PROBABILITY DENSITY FUNCTION; TURBULENCE; TURBULENT FLOW;

EID: 34547099837     PISSN: 00154628     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0015462807020093     Document Type: Article

References (28)

1. I.V. Derevich and L.I. Zaichik, "Particle Deposition from a Turbulent Flow", Fluid Dynamics 23, 722-729 (1988).
2. M.W. Reeks, "On a Kinetic Equation for the Transport of Particles in Turbulent Flows", Phys. Fluids A. 3 (3), 446-456 (1991).
3. M.W. Reeks, "On the Continuum Equation for Dispersed Particles in Nonuniform Flows," Phys. Fluids A. 4 (6), 1290-1303 (1992).
4. D.C. Swailes and K.F.F. Darbyshire, "A Generalized Fokker-Planck Equation for Particle Transport in Random Media," Physica A. 242, 38-48 (1997).
5. L.I. Zaichik, "Modeling of Particle Motion in a Nonuniform Turbulent Flow on the Basis of the Equation for the Probability Density Function," Prikl. Matem. Mekh. 61 (1), 132-138 (1997).
6. 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: Math. Gen. 32, 6169-6190 (1999).
7. J. Pozorski and J.-P. Minier, "Probability Density Function Modeling of Dispersed Two-Phase Turbulent Flows," Phys. Rev. E. 59 (1), 855-863 (1999).
8. I.V. Derevich, "Statistical Modelling of Mass Transfer in Turbulent Two-Phase Dispersed Flows. 1. Model Development," Int. J. Heat Mass Transfer 43 (19), 3709-3723 (2000).
9. I.V. Derevich and L.I. Zaichik, "Equation for the PDF of the Particle Velocity and Temperature in a Turbulent Flow Modeled by a Gaussian Random Field," Prikl. Matem. Mekh. 54 (5), 767-774 (1990).
10. L.I. Zaichik, "A Statistical Model of Particle Transport and Heat Transfer in Turbulent Shear Flows," Phys. Fluids 11 (6), 1521-1534 (1999).
11. R.V.R. Pandya and F. Mashayek, "Non-IsothermalDispersed Phase of Particles in Turbulent Flow," J. Fluid Mech. 475, 205-245 (2003).
12. V.M. Alipchenkov and L.I. Zaichik, "Statistical Model of Particle Motion and Dispersion in an Anisotropic Turbulent Flow," Fluid Dynamics 39, 735-747 (2004).
13. S.B. Pope, "Stochastic Lagrangian Models of Velocity in Homogeneous Turbulent Shear Flow," Phys. Fluids 14 (5), 1696-1702 (2002).
14. S. Tavoularis and S. Corrsin, "Experiments in Nearly Homogeneous Turbulent Shear Flow with a Uniform Mean Temperature Gradient," J. Fluid Mech. 104, 311 (1981).
15. G.T. Csanady, "Turbulent Diffusion of Heavy Particles in the Atmosphere," J. Atmos. Sci. 20, 201-208 (1963).
16. L.-P. Wang and D.E. Stock, "Dispersion of Heavy Particles in Turbulent Motion," J. Atmos. Sci. 50 (13), 1897-1913 (1993).
17. O. Simonin, E. Deutsch, and J.-P. Minier, "Eulerian Prediction of the Fluid/Particle CorrelatedMotion in Turbulent Two-Phase Flows," Appl. Sci. Res. 51, 275-283 (1993).
18. S. Chapman and T.G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge Univ. Press, Cambridge, 1970).
19. H. Chen, S.A. Orszag, I. Staroselsky, and S. Succi, "Expanded Analogy Between Boltzmann Kinetic Theory of Fluids and Turbulence," J. Fluid. Mech. 519, 301-314 (2004).
20. W. Rodi, "A New Algebraic Relation for Calculating the Reynolds Stresses," ZAMM 56, T219-T221 (1976).
21. T.B. Gatski and C.G. Speziale, "On Explicit Algebraic Stress Models for Complex Turbulent Flows," J. Fluid Mech. 254, 59-78 (1993).
22. S.S. Girmaji, "Fully Explicit and Self-Consistent Algebraic Reynolds Stress Model," Theoret. Comput. Fluid Dyn. 8, 387-402 (1996).
23. T. Jongen and T.B. Gatski, "General Explicit Algebraic Stress Relations and Best Approximation for Three-Dimensional Flows," Int. J. Eng. Sci. 36, 739-763 (1998).
24. S. Wallin and A.V. Johansson, "An Explicit Algebraic Reynolds Stress Model for Incompressible and Compressible Turbulent Flows," J. Fluid Mech. 403, 89-132 (2000).
25. F. Mashayek and D.B. Taulbee, "Turbulent Gas-Solid Flows. Part II: Algebraic Models," Numer. Heat Transfer, B 41, 31-52 (2002).
26. 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. (Ed. F. Durst et al.) (Springer-Verlag, 1995), 85-115.
27. 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 flows," in Proc. 7th Int. Symp. Gas-Particle Flows, ASME Fluids Engineering Division Summer Meeting (FEDSM97-3623, 1997).
28. 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, 368-373 (1999).