Gravitational settling of small spherical particles in unsteady cellular flow fields

Journal of Aerosol Science

Volumn 28, Issue 5, 1997, Pages 753-787

  Fung, J C H ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DRAG; GRAVITATIONAL EFFECTS; UNSTEADY FLOW;

STOKES DRAG; UNSTEADY CELLULAR FLOW FIELDS;

AEROSOLS;

AIR POLLUTION; ARTICLE; ATMOSPHERIC DISPERSION; FORCE; GRAVITY; PARTICULATE MATTER; PRIORITY JOURNAL; TURBULENT FLOW; VELOCITY;

EID: 0031195081     PISSN: 00218502     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8502(96)00478-8     Document Type: Article

References (31)

1. Aref, H. (1984) Stirring by chaotic advection. J. Fluid Mech. 143, 1-21.
2. Crisanti, A., Falcioni, M., Provenzale, A. and Vulpiani, A. (1990) Passive advection of particles denser than the surrounding fluid. Phys. Lett. A 150, 79-84.
3. Csanady, G. T. (1963) Turbulent diffusion of heavy particle in the atmosphere. J. atmos. Sci., 20, 201-208.
4. Fung, J. C. H. (1993) Gravitational settling of particles and bubbles in homogeneous turbulence. J. geophys Res. 98, 20,287-20,297.
5. Fung, J. C. H., Hunt, J. C. R., Malik, N. A. and Perkins, R. J. (1992) Kinematics simulation of homogeneous turbulent flows generated by unsteady random Fourier modes. J. Fluid Mech. 236, 281-317.
6. Hunt, J. C. R., Auton, T. R., Sene, K., Thomas, N. H. and Kowe, R. (1988) Bubble motions in large eddies and turbulent flows. Proc. Conf. on Transient Phenomena in Multiphase Flow (Edited by Afgan, N. H.). Hemisphere, Bristol.
7. Mallier, R. and Maxey, M. R. (1991) The settling of non-spherical particles in a cellular flow field. Phys Fluid. A3, 1481-1494.
8. Maxey, M. R. (1987a) The motion of small spherical particles in a cellular flow field. Phys Fluid. 30, 1915-1928.
9. Maxey, M. R. (1987b) The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields, J. Fluid Mech. 174, 441-465.
10. Maxey, M. R. and Corrsin, S. (1986) The gravitational settling of aerosol particles in randomly oriented cellular flow field. J. atmos. Sci. 43, 1112-1134.
11. Mclaughlin, J. B. (1988) Particle size effects on Lagrangian turbulence. Phys Fluids 31, 2544-2553.
12. Nielsen, P. (1984) On the motion of suspended sand particles. J. geophys Res. 89, 616-626.
13. Ottino, J. M. (1989) Kinematics of Mixing: Stretching, Chaos and Transport. CUP, Cambridge.
14. Perkins, R. J. and Hunt, J. C. R. (1995) The interaction between heavy particles and an isolated vortex. Abstract submitted to the 2nd International Conference on Multiphase Flow, Kyoto.
15. Pruppacher, H. R. and Klett, J. D. (1987) Microphysics of Clouds. Reidel, Dordrecht.
16. Reeks, M. W. (1977) On the dispersion of small particles suspended in an isotropic turbulent fluid. J. Fluid Mech. 83, 529-546.
17. Riley, J. J. (1971) Computer simulations of turbulent dispersion. Ph.D. dissertation, John Hopkins University.
18. Smith, L. A. and Spiegel, E. A. (1985) Pattern formation by particles settling in viscous flows. Lect. Notes Phys 230, 306-318.
19. Snyder, W. H. and Lumley, J. L. (1971) Some measurements of particle velocity autocorrelation functions in a turbulent flow. J. Fluid Mech. 48, 47-71.
20. Squires, K. D. and Eaton, J. K. (1991a) Measurements of particle dispersion from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 226, 1-35.
21. Squires, K. D. and Eaton, J. K. (1991b) Preferential concentration of particles by turbulence. Phys Fluids A3, 1169-1178.
22. Stommel, H. (1949) Trajectories of small bodies sinking slowly through convection cells. J. Marine Res. 8, 24-29.
23. Toobey, P. F., Wick, G. L. and Isaacs, J. D. (1977) The motion of small sphere in a rotating velocity field: a possible mechanism for suspending particles in turbulence. J. geophys Res. 82, 2,096-2,100.
24. Vassilicos, J. C. and Fung, J. C. H. (1995) The self-similar topology of passive interfaces advected by two-dimensional turbulent-like flows. Phys. Fluids 7, 1970-1998.
25. Wang, L. P., Burton, T. D. and Stock, D. E. (1991) Chaotic dynamics of heavy particle dispersion: fractal dimension versus dispersion coefficients. Phys. Fluids A2, 1073-1080.
26. Wang, L. P. and Maxey, M. R. (1993) Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 256, 27-68.
27. Wang, L. P., Maxey, M. R., Burton, T. D. and Stock, D. E. (1992) Chaotic dynamics of particle dispersion in fluids. Phys Fluids A4, 1789-1804.
28. Wells, M. R. and Stock, D. E. (1983) The effects of crossing trajectories on the dispersion of particles in a turbulent flow. J. Fluid Mech. 136, 31-61.
29. Woodcock, A. H. (1941) Surface cooling and streaming in shallow fresh and salt waters. J. Marine Res. 4, 153-161.
30. Yeh, F. and Lei, U. (1991) On the motion of small particles in a homogeneous isotropic turbulence flow. Phys. Fluids A3, 2571-2586.
31. Yudine, M. I. (1959) Physical considerations on heavy particle diffusion. In Advance in Geophysics, Vol. 6, pp. 185-191. Academic Press, New York.