%0 Journal Article
%A Abade, G.C.
%A Cichocki, M.L.
%A Ekiel-Jezewska, M.L.
%A Nägele, G.
%A Wajnryb, E.
%T First-order virial expansion of short-time diffusion and sedimentation coefficients of permeable particles suspensions
%J Physics of fluids
%V 23
%@ 1070-6631
%C [S.l.]
%I American Institute of Physics
%M PreJuSER-17779
%P 083303
%D 2011
%Z M.L.E.J. and E.W. were supported in part by the Polish Ministry of Science and Higher Education Grant N N501 156538. G.N. thanks the Deutsche Forschungsgemeinschaft (SFB-TR6, project B2) for financial support.
%X For suspensions of permeable particles, the short-time translational and rotational self-diffusion coefficients, and collective diffusion and sedimentation coefficients are evaluated theoretically. An individual particle is modeled as a uniformly permeable sphere of a given permeability, with the internal solvent flow described by the Debye-Bueche-Brinkman equation. The particles are assumed to interact non-hydrodynamically by their excluded volumes. The virial expansion of the transport properties in powers of the volume fraction is performed up to the two-particle level. The first-order virial coefficients corresponding to two-body hydrodynamic interactions are evaluated with very high accuracy by the series expansion in inverse powers of the inter-particle distance. Results are obtained and discussed for a wide range of the ratio, x, of the particle radius to the hydrodynamic screening length inside a permeable sphere. It is shown that for x greater than or similar to 10, the virial coefficients of the transport properties are well-approximated by the hydrodynamic radius (annulus) model developed by us earlier for the effective viscosity of porous-particle suspensions. (C) 2011 American Institute of Physics. [doi:10.1063/1.3626196]
%K J (WoSType)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000294483500017
%R 10.1063/1.3626196
%U https://juser.fz-juelich.de/record/17779