Clustering of aerosol particles in isotropic turbulence

Journal of Fluid Mechanics

Volumn 536, Issue , 2005, Pages 219-251

  Chun, Jaehun ^a   Koch, Donald L ^a   Rani, Sarma L ^a   Ahluwalia, Aruj ^b   Collins, Lance R ^a  

^a Cornell University   (United States)

^b EPIC SYSTEMS CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSOLS; COMPUTER SIMULATION; PARTICLES (PARTICULATE MATTER); PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; TURBULENCE; VORTEX FLOW;

AEROSOL PARTICLES; ISOTROPIC TURBULENCE; PARTICLE RADIAL DISTRIBUTION FUNCTION (RDF);

TURBULENT FLOW;

AEROSOL; TURBULENCE;

AEROSOL; TURBULENCE;

EID: 23844524748     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005004568     Document Type: Article

References (37)

1. Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. Dover.
2. Balkovsky, E., Falkovich, G. & Fouxon, A. 2001 Intermittent distribution of inertial particles in turbulent flows. Phys. Rev. Lett. 86, 2790-2793.
3. Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
4. Brunk, B. K., Koch, D. L. & Lion, L. W. 1997 Hydrodynamic pair diffusion in isotropic random velocity fields with application to turbulent coagulation. Phys. Fluids 9, 2670-2691.
5. Brunk, B. K., Koch, D. L. & Lion, L. W. 1998 Turbulent coagulation of colloidal particles. J. Fluid Mech. 364, 81-113.
6. Cantwell, B. J. 1993 On the behavior of velocity-gradient tensor invariants in direct numerical simulations of turbulence. Phys. Fluids A 5, 2008-2013.
7. Collins, L. R. & Keswani A. 2004 Reynolds number scaling of particle clustering in turbulent aerosols. New J. of Phys. 6, 119.
8. Eaton, J. K. & Fessler, J. R. 1994 Preferential concentration of particles by turbulence. Intl J. Multiphase Flow 20, 169-209.
9. Eswaran, V. & Pope, S. B. 1988 An examination of forcing in direct numerical simulations of turbulence. Comput. Fluids 16, 257-278.
10. Gardiner, C. W. 1985 Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences. Springer.
11. Girimaji, S. S. & Pope, S. B. 1990 A diffusion model for velocity gradients in turbulence. Phys. Fluids A 2, 242-256.
12. Hinze, J. O. 1975 Turbulence. McGraw-Hill.
13. Holtzer, G. L. & Collins, L. R. 2002 Relationship between the intrinsic radial distribution function for an isotropic field of particles and lower-dimensional measurements. J. Fluid Mech. 459, 93-102.
14. Koch, D. L. 1990 Kinetic theory for a monodisperse gas-solid suspension. Phys. Fluids A 2, 1711-1723.
15. Koch, D. L. & Pope, S. B. 2002 Coagulation-induced particle-concentration fluctuations in homogeneous, isotropic turbulence. Phys. Fluids 14, 2447-2455.
16. Kraichnan, R. H. 1970 Diffusion by a random velocity field, Phys. Fluids 13, 22-31.
17. McLaughlin, J. B. 1994 Numerical computation of particles-turbulence interaction, Intl J. Multiphase Flow 20, 211-232.
18. Maxey, M. R. 1987 The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields. J. Fluid Mech. 174, 441-465.
19. Maxey, M. R. & Riley, J. J. 1983 Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 883-889.
20. Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.
21. Pope, S. B. 2002 A stochastic Lagrangian model for acceleration in turbulent flows. Phys. Fluids 14, 2360-2375.
22. Pratsinis, S. E., Zhu, W. & Vemury, S. 1996 The role of gas mixing in flame synthesis of titania powders. Powder Technol. 86, 87-93.
23. Reade, W. C. & Collins, L. R. 2000a Effect of preferential concentration on turbulent collision rates. Phys. Fluids 12, 2530-2540.
24. Reade, W. C. & Collins, L. R. 2000b A numerical study of the particle size distribution of an aerosol undergoing turbulent coagulation. J. Fluid Mech. 415, 45-64.
25. Reeks, M. W. 1991 On a kinetic equation for the transport of particles in turbulent flows. Phys. Fluids 3, 446-456.
26. Saffman, P. G. & Turner, J. S. 1956 On the collision of drops in turbulent clouds. J. Fluid Mech. 1, 16-30.
27. Sawford, B. L. 1991 Reynolds number effects in Lagrangian stochastic models of turbulent dispersion. Phys. Fluids A 3, 1577-1586.
28. Shaw, R. A. 2003 Particle-turbulence interactions in atmospheric clouds. Annu. Rev. Fluid Mech. 35, 183-227.
29. Squires, K. D. & Eaton, J. K. 1991 Preferential concentration of particles by turbulence. Phys. Fluids A 3, 1169-1178.
30. Sundaram, S. & Collins, L. R. 1997 Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations. J. Fluid Mech. 335, 75-109.
31. Voth, G. A., La Porta, A., Crawford, A. M., Alexander, J. & Bodenschatz, E. 2002 Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech. 469, 121-160.
32. Wang, L.-P., Wexler, A. S. & Zhou, Y. 1998 Statistical mechanical descriptions of turbulent coagulation. Phys. Fluids 10, 2647-2651.
33. Wang, L.-P., Wexler, A. S. & Zhou, Y. 2000 Statistical mechanical description and modelling of turbulent collision of inertial particles. J. Fluid Mech. 415, 117-153.
34. Yeung, P. K. 2001 Lagrangian characteristics of turbulence and scalar transport in direct numerical simulations. J. Fluid Mech. 427, 241-274.
35. Yeung, P. K. & Pope, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586.
36. Zaichik, L. I. & Alipchenkov, V. M. 2003 Pair dispersion and preferential concentration of particles in isotropic turbulence. Phys. Fluids 15, 1776-1787.
37. Zhou, Y., Wexler, A. S. & Wang, L.-P. 2001 Modelling turbulent collision of bidisperse inertial particles. J. Fluid Mech. 433, 77-104.