Porous agglomerates in the general linear flow field

P. Vainshtein, M. Shapiro*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We calculate the flow within and around a porous spherical agglomerate suspended in the general linear flow field, and also the flow induced by its rotation. We use the Stokes equations exterior to the particle and the Brinkman equations inside it. The effect of particle permeability on the flow is expressed via the Brinkman parameter β = r0 / sqrt(k), where r0 is particle radius and k is its permeability. With translational creeping motion of porous spheres in a quiet fluid investigated by Debye and Bueche [P. Debye, A.M. Bueche, J. Chem. Phys. 16 (6) (1943) 573-579], this study provides information necessary for investigating dynamics of porous particles moving in creeping shear flows under the action of external forces and torques. The agglomerate flow field solutions are used to calculate the effective viscosity of a dilute suspension of porous solid aggregates, which generalizes the well-known Einstein's equation for solid suspensions. The agglomerate effective viscosity diameter is proposed which allows using the Einstein's formula evaluation of the agglomerates suspension viscosity.

Original languageEnglish
Pages (from-to)183-191
Number of pages9
JournalJournal of Colloid and Interface Science
Issue number1
StatePublished - 1 Jun 2006
Externally publishedYes


  • Agglomerate
  • Suspension
  • Viscosity


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