A local coupling between sedimentation and convection: Application to the Beenakker-Mazur effect

P. Noziéres

Physica A: Statistical Mechanics and its Applications, 1987, vol. 147, issue 1, 219-237

Abstract: It is argued that the hydrodynamic behaviour of suspensions may be described by a set of local coupled equations for the convective flow pattern V(r) and for the sedimentation velocity w(r). Due to the cross terms, inhomogeneities in either w or in the particle concentratiob φ may give rise to intrinsic convection, as termed by Beenakker and Mazur. In the low φ limit, coefficients of these phenomenological coarse grained equations can be estimated either via an Onsager reciprocity argument, or by a direct analysis of the stress tensor. Similar ideas may be qualitatively extended to either sharp discontinuities of φ or to the vicinity of a wall: sedimentation parallel to the wall generates a finite tangential convection velocity at the wall, which acts as a source of bulk convection. The results obtained by Beenakker and Mazur in a spherical vessel are thus confirmed. Quite generally, this approach supports the concept of screening in an hydrodynamic suspension - in close analogy with screening of electric field fluctuations in a dielectric.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:147:y:1987:i:1:p:219-237

DOI: 10.1016/0378-4371(87)90107-5

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