Is sedimentation container-shape dependent? (English) Zbl 0588.76163

Beenakker, C. W. J.; Mazur, P.

Phys. Fluids 28, 3203-3206 (1985).

The question is addressed as to the dependence of sedimentation of a homgeneous suspension on the shape of the container. It is demonstrated, by comparing calculations for spherical and plane geometries, that shape- dependent contributions to the sedimentation velocity remain in the limit of infinitely distant container walls. Upon transformation from the laboratory reference frame to a local frame of reference that moves with the average volume velocity, this shape dependence is found to disappear.

MSC:

76R99	Diffusion and convection
82C70	Transport processes in time-dependent statistical mechanics

Keywords:

buoyancy-driven convection; linear quasistatic Stokes equation; stick boundary conditions; sedimentation of a homgeneous suspension; plane geometries; shape-dependent contributions; sedimentation velocity; infinitely distant container walls; laboratory reference frame; local frame of reference; average volume velocity

References:

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