Asymptotic analysis of chaotic particle sedimentation and trapping in the vicinity of a vertical upward streamline

Physics of Fluids

Volumn 19, Issue 7, 2007, Pages

  Angilella, Jean Régis ^a,b  

^a UNIVERSITÉ DE LORRAINE   (France)

^b CRPG CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; LAMINAR FLOW; NAVIER STOKES EQUATIONS; SEDIMENTATION; TOPOLOGY; UNSTEADY FLOW;

LAMINAR PLANE; MELNIKOV'S FUNCTION; SEPARATRICES; STOMMEL'S RETENTION ZONES;

FLUID DYNAMICS;

ASYMPTOTIC ANALYSIS; DEGREES OF FREEDOM (MECHANICS); FLUID DYNAMICS; HAMILTONIANS; LAMINAR FLOW; NAVIER STOKES EQUATIONS; SEDIMENTATION; TOPOLOGY; UNSTEADY FLOW;

EID: 34547816518     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2751387     Document Type: Article

References (14)

1. G. T. Csanady, "Turbulent diffusion of heavy particles in the atmosphere," J. Atmos. Sci. JAHSAK0022-492810.1175/ 1520-0469(1963)020<0201:TDOHPI 2.0.CO;2 20, 201 (1963).
2. W. H. Snyder and J. L. Lumley, "Some measurements of particle velocity autocorrelation functions in a turbulent flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112071001460 48, 47 (1971).
3. M. R. Maxey, "The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields," J. Fluid Mech. JFLSA70022-112010.1017/S0022112087000193 174, 441 (1987).
4. H. Benard, "Les tourbillons cellulaires dans une nappe liquide," Rev. Gen. Sci. Pures Appl. RGSAAF0370-5196 11, 1261 (1900).
5. H. Stommel, "Trajectories of small bodies sinking slowly through convection cells," J. Mar. Res. JMMRAO0022-2402 8, 24 (1949).
6. B. Simon and Y. pomeau, "Free and guided convection in evaporating layers of aqueous solutions of sucrose. transport and sedimentation of particles," Phys. Fluids A PFADEB0899-821310.1063/1.858147 3, 380 (1991).
7. P. Cerisier, B. Porterie, A. Kaiss, and J. Cordonnier, "Transport and sedimentation of solid particles in Bénard hexagonal cells," Eur. Phys. J. E EPJSFH1292-894110.1140/epje/i2005-10033-7 18, 85 (2005).
8. I. Tuval, I. Mezic, F. Bottausci, Y. T. Zhang, N. Mac Donald, and O. Piro, "Control of particles in microelectrode devices," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.95.236002 95, 236002 (2005).
9. M. R. Maxey and S. Corrsin, "Gravitational settling of aerosol particles in randomly oriented cellular flow fields," J. Atmos. Sci. JAHSAK0022-492810.1175/1520-0469(1986)043<1112:GSOAPI>2.0.CO;2 43, 1112 (1986).
10. J. C. H. Fung, "Gravitational settling of small spherical particles in unsteady cellular flow fields," J. Aerosol Sci. JALSB70021-850210.1016/S0021-8502(96)00478-8 5, 753 (1997).
11. J. Rubin, C. K. R. T. Jones, and M. Maxey, "Settling and asymptotic motion of aerosol particles in a cellular flow field," J. Nonlinear Sci. JNSCEK0938-879410.1007/BF01275644 5, 337 (1995).
12. J. B. MacLaughlin, "Particle size effects on lagrangian turbulence," Phys. Fluids PFLDAS0031-917110.1063/1.866607 31, 2544 (1988).
13. J. Guckenheimer and P. Holmes, Non-linear Oscillations, Dynamical Systems and Bifurcation of Vector Fields (Springer, New York, 1983).
14. O. A. Druzhinin and L. A. Ostrovsky, "The influence of Basset force on particle dynamics in two-dimensional flows," Physica D PDNPDT0167-278910.1016/0167-2789(94)90248-8 76, 34 (1994).