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Hydrodynamic interactions and orthokinetic collisions of porous aggregates in the Stokes regime
ETH, Inst Chem & Bioengn, Dept Chem & Appl Biosci.ORCID iD: 0000-0001-7995-3151
2006 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 18, no 1, 013302- p.Article in journal (Refereed) Published
Abstract [en]

The hydrodynamic interaction of two neutrally buoyant porous aggregates is investigated under creeping flow conditions for the case where the undisturbed velocity of the surrounding flow field is a linear function of position. In this framework, the relative velocity between two aggregates is given by the deformation of the undisturbed flow expressed through the rate of strain and the angular velocity of the flow field, and by two flow-independent hydrodynamic functions, typically referred to as A and B, which account for the disturbance of the flow field due to the presence of the particles [G. K. Batchelor and J. T. Green, J. Fluid Mech. 56, 375 (1972)]. In the present paper, the analysis of thehydrodynamic interaction that is known for the case of two impermeable, solid particles is extended to the case of porous aggregates by applying Brinkman's equation to describe the flow within the aggregates. A reflection scheme is applied to calculate A and B and the obtained expressions are applied to interpret the orthokinetic aggregation ofaggregates in diluted suspensions, where the collision frequency is computed using the method of relative trajectories of a pair of aggregates.

Place, publisher, year, edition, pages
2006. Vol. 18, no 1, 013302- p.
Keyword [en]
Creeping flow, Hydrodynamics, Porous materials, Suspensions, Two-phase flow
National Category
Chemical Process Engineering Fluid Mechanics and Acoustics Other Physics Topics
URN: urn:nbn:se:kth:diva-87899DOI: 10.1063/1.2166125ISI: 000235015200010OAI: diva2:502001
QC 20120301Available from: 2012-02-14 Created: 2012-02-14 Last updated: 2012-03-01Bibliographically approved

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Bäbler, Matthäus
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