Mobility of permeable fractal agglomerates in slip regime

P. Vainshtein, M. Shapiro*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Hydrodynamic drag and mobility of fractal aggregates in the slip creeping flow regime are calculated. A theoretical continuum model of the gas slip flow past and within agglomerates is developed. It accounts for effects of flow rarefaction and porous fractal structure upon the molecular mean free path, apparent viscosity, and effective permeability of agglomerates. It is shown that flow rarefaction significantly diminishes the aggregates' drag to an extent that cannot be predicted by the Cunningham's drag correction factor. The developed model allows calculation the agglomerates' transport properties in a wide range of fractal dimensions. For low Df agglomerates the drag force agrees with the Friedlander's expression based on the Epstein's single sphere drag in the free molecular regime.

Original languageEnglish
Pages (from-to)501-509
Number of pages9
JournalJournal of Colloid and Interface Science
Issue number2
StatePublished - 15 Apr 2005
Externally publishedYes


  • Agglomerate
  • Drag
  • Fractal dimension
  • Porosity
  • Slip flow


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