Abstract
The evolution of the large-scale velocity perturbations in a homogeneous suspension sedimenting in a rectangular container with rigid horizontal walls and periodic conditions on the vertical boundaries is considered. Numerical simulation of the point-particle motion showed that the density and velocity fluctuations decrease with time. The perturbations are damped due to reshaping of the sedimentation front and the nonlinear interaction of the different modes.
Similar content being viewed by others
References
R.E. Caflisch and J.H.C. Luke, “Variance in the Sedimentation Speed of a Suspension,” Phys. Fluids 28(3), 759–760 (1985).
J.H.C. Luke, “Decay of Velocity Fluctuations in a Stably Stratified Suspension,” Phys. Fluids 12(6), 1619–1621 (2000).
P.N. Segre, E. Herbolzheimer, and P.M. Chaikin, “Long Ranged Correlations in Sedimentation,” Phys. Rev. Lett. 79(13), 2574–2577 (1997).
X. Lei, B.J. Ackerson, and P. Tong, “Settling Statistics of Hard Sphere Particles,” Phys. Rev. Lett. 86(15), 3300–3303 (2001).
E. Guazzelli, “Evolution of Particle-Velocity Correlations in Sedimentation,” Phys. Fluids 13(6), 1537–1540 (2001).
G. Bernard-Michel, A. Monavon, D. Lhuillier, et al., “Particle Velocity Fluctuations and Correlation Lengths in Dilute Sedimenting Suspensions,” Phys. Fluids 14(7), 2339–2349 (2002).
Y. Tee, P. J. Mucha, L. Cipelletti, et al., “Nonuniversal Velocity Fluctuations of Sedimenting Particles,” Phys. Rev. Lett. 89(5) 054501 (2002).
A. J. C. Ladd, “Effects of ContainerWalls on the Velocity Fluctuations of Sedimenting Spheres,” Phys. Rev. Lett 88(4), 048301, (2002).
N.-Q. Nguyen and A. J. C. Ladd, “Sedimentation of Hard-Sphere Suspensions at Low Reynolds Number,” J. Fluid Mech. 525, 73–104 (2005).
E.S. Asmolov, “Evolution of Fluctuations in a Suspension Sedimenting in a Container Bounded by Horizontal Walls,” Phys. Fluids 16(8), 3086–3093 (2004).
P.G. Saffman, “On the Settling Speed of Free and Fixed Suspensions,” Stud. Appl. Math. 52(2), 115–127 (1973).
L. Bergougnoux, S. Ghicini, E. Guazzelli, and E. J. Hinch, “Spreading Fronts and Fluctuations in Sedimentation,” Phys. Fluids 15(7), 1875–1887 (2003).
P.J. Mucha, S.-Y. Tee, D.A. Weitz, et al., “A Model for Velocity Fluctuations in Sedimentation,” J. Fluid Mech. 501, 71–104 (2004).
Additional information
Original Russian Text © E.S. Asmolov, 2007, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2007, Vol. 42, No. 3, pp. 84–93.
Rights and permissions
About this article
Cite this article
Asmolov, E.S. Numerical simulation of rarefied suspension sedimentation in a container. Fluid Dyn 42, 410–418 (2007). https://doi.org/10.1134/S001546280703009X
Received:
Issue Date:
DOI: https://doi.org/10.1134/S001546280703009X