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Velocity correlations and diffusion during sedimentation.

E Kuusela1, T Ala-Nissila

  • 1Helsinki Institute of Physics, Helsinki University of Technology, P.O. Box 1100, FIN-02015 HUT, Espoo, Finland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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We studied sedimenting non-Brownian particles, finding velocity fluctuations are anisotropic. Diffusion parallel to gravity is faster than perpendicular, with anisotropy decreasing as particle concentration or flow strength increases.

Area of Science:

  • Fluid dynamics
  • Statistical physics
  • Computational physics

Background:

  • Sedimentation of non-Brownian particles is crucial in various natural and industrial processes.
  • Understanding particle dynamics and transport properties is essential for predicting system behavior.

Purpose of the Study:

  • To investigate the steady-state dynamics of sedimenting non-Brownian particles in 2D.
  • To analyze velocity fluctuations, memory functions, and diffusion coefficients.
  • To explore the influence of volume fraction and Reynolds number on these dynamics.

Main Methods:

  • Numerical simulations using the Schwarzer model (Phys. Rev. E 52, 6461 (1995)).
  • Coupling a continuum liquid phase with Stokesian friction to a discrete particle phase.

Related Experiment Videos

  • Analysis of autocorrelation functions of velocity fluctuations and memory functions.

    • Main Results:

    • Steady-state velocity fluctuations exhibit strong spatial anisotropy.
    • Correlation functions parallel to gravity show nonexponential time dependence.
    • Diffusion along gravity is significantly faster than perpendicular diffusion, with anisotropy decreasing as Reynolds number or volume fraction increases.

    Conclusions:

    • The dynamics of sedimenting non-Brownian particles are complex and anisotropic.
    • The findings provide insights into transport phenomena in dense particle suspensions.
    • The study highlights the interplay between particle interactions, flow conditions, and emergent dynamics.