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Physics of Fluids / Volume 30 / Issue 7

Phys. Fluids 30, 1915 (1987); http://dx.doi.org/10.1063/1.866206 (14 pages)

The motion of small spherical particles in a cellular flow field

M. R. Maxey

Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912

(Received 18 March 1986; accepted 17 March 1987)

In an earlier paper, Maxey and Corrsin [J. Atmos. Sci. 43, 1112 (1986)] studied the motion of small aerosol particles settling under gravity through an infinite, periodic, cellular flow field subject to the effects of a Stokes drag force and inertia of the particles. Particle inertia was shown to have an important influence on the motion: No permanent suspension in the flow occurred, particles generally settled more rapidly than in still fluid, and the particle paths merged into isolated asymptotic trajectories. This study is continued for particles that are not necessarily much denser than the surrounding fluid but vary in density. Two basic responses are identified: an aerosol response for particles denser than the fluid, similar to that mentioned, and a bubble response for particles less dense. For both, particle accumulation is still a recurring feature. Results of numerical simulations are discussed, together with the stability of equilibrium points and the role of particle or fluid inertia.

KEYWORDS and PACS

Keywords

SPHERICAL CONFIGURATION, EQUATIONS OF MOTION, MASS, AEROSOLS, CELLULAR STRUCTURE, FLUID FLOW, GRAVITATION, PERIODS, DRAG, MOMENT OF INERTIA, SUSPENSIONS, TRAJECTORIES, ASYMPTOTIC SOLUTIONS, BUBBLES, STABILITY, EQUILIBRIUM

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.866206

PUBLICATION DATA

ISSN

0031-9171 (print)  

    References

  1. H. Stommel, J. Marine Res. 8, 24 (1949). [ISI]
  2. B. D. Marsh and M. R. Maxey, J. Volcanol. Geotherm. Res. 24, 95 (1985).
  3. M. R. Maxey and S. Corrsin, J. Atmos. Sci. 43, 1112 (1986).
  4. I. R. Wood and B. S. Jenkins, International Symposium on River Mechanics, 9–12 January 1973, Bangkok, Thailand (IAHR, Delft, The Netherlands, 1973), Paper A38, pp. 431–442.
  5. M. J. Manton, Boundary Layer Meteorol. 6, 487 (1974). [Inspec]
  6. P. Nielsen, J. Geophys. Res. 89, 616 (1984).
  7. T. R. Auton, Ph.D. thesis, University of Cambridge, 1981.
  8. N. H. Thomas, T. R. Auton, K. Sene, and J. C. R. Hunt, International Conference on Physical Modeling of Multi-Phase Flow, 19–21 April 1983, Coventry, England (BHRA Fluid Engineering, Bedford, 1983), Paper El, pp. 169–184.
  9. M. R. Maxey and J. J. Riley, Phys. Fluids 26, 883 (1983PFLDAS000026000004000883000001).
  10. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops, and Particles (Academic, New York, 1978), p. 35.
  11. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, 1983), p. 33.



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