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A two fluid model for sedimentation phenomena

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  • Noetinger, Benoît

Abstract

The sedimentation of a homogeneous suspension of monodisperse spherical particles contained in an infinite vessel is described by means of a two fluid model. The motion of one of these fluids describes the global transport of matter (convention), and the motion of the second expresses the local averaged velocity of the particles in the local reference frame defined by the convective flow. By a gradient expansion, local equations coupling these two fields to the forces are derived. These equations are valid for arbitrary concentrations. In the case of a suspension contained in a finite vessel, wall effects are then phenomenologically taken into account by writing effective boundary conditions for the two velocity fields. The use of Beenakker and Mazur resummation techniques allows us to give results for the sedimentation velocity which agree well with experimental data up to the highest volume fractions investigated. Further developments are also examined.

Suggested Citation

  • Noetinger, Benoît, 1989. "A two fluid model for sedimentation phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1139-1179.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:3:p:1139-1179
    DOI: 10.1016/0378-4371(89)90037-X
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    1. Beenakker, C.W.J. & van Saarloos, W. & Mazur, P., 1984. "Many-sphere hydrodynamic interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 451-472.
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