Summary
Dispersion of clouds of particles in a fluid can take place also in laminar flows with nonchaotic Lagrangian trajectories. This is shown to occur in a simple model for the one-dimensional motions of spherical particles in a periodic standing wave, with Stokes law for the drag force.
Similar content being viewed by others
References
H. Aref:Fluid Mech.,143, 1 (1984).
H. Aref andS. Balachandar:Phys. Fluids,29, 3515 (1986).
S. W. Jones andH. Aref:Phys. Fluids,31, 469 (1988).
S. W. Jones, O. M. Thomas andH. Aref:J. Fluid Mech.,209, 335 (1989).
H. Aref andS. W. Jones:Phys. Fluids,1, 470 (1989).
R. Lupini andS. Siboni:Nuovo Cimento B,103, 237 (1989).
L. Polvani andJ. Wisdom:Phys. Fluids A,2, 123 (1990).
H. Lamb:Hydrodynamics (Cambridge University Press, New York, N. Y., 1975).
D. J. Tritton:Physical Fluid Dynamics (Oxford University Press, Oxford, 1988);J. Guckenheimer andP. Holmes:Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer-Verlag, New York, N.Y., 1983).
V. I. Arnold:Equazioni differenziali ordinarie (Edizioni MIR, Mosca, 1979).
I. K. Puri andP. A. Libby:Phys. Fluids A,2, 1281 (1990).
S. Ikeda andM. Yamasaka:Fluid Dyn. Res.,5, 203 (1989).
Author information
Authors and Affiliations
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Lupini, R., Messia, M.G. & Vallasciani, F. Chaotic drag of particles in a laminar flow. Nuov Cim B 106, 1085–1097 (1991). https://doi.org/10.1007/BF02728354
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02728354