ISSN:
1435-1528
Keywords:
Poiseuille flow
;
Fokker-Planck equation
;
pair collisions
;
lateral particle migration
;
suspension
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
,
Physics
Notes:
Abstract Cross-flow displacements of neutrally buoyant solid spheres under Poiseuille-type flow conditions in narrow channels, at low volume fraction, are described by a phenomenological model within the framework of the Fokker-Planck equation. In this model, the effects of particle-particle and particle-wall interactions are taken into account. In addition to the classical wall effect (depleted layer near the wall), numerical solutions of the derived equations display two opposite lateral migrations towards the wall and the tube axis, and an alignment of the particles in adjacent layers parallel to the flow. These numerical results are then compared with experimental results obtained by Goldsmith and Marlow [18] for erythrocyte suspensions. A good qualitative agreement is observed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01134602
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