First-order virial expansion of short-time diffusion and sedimentation coefficients of permeable particles suspensions

Abade, G.C.; Cichocki, M.L.; Ekiel-Jezewska, M.L.; Nägele, G.; Wajnryb, E.

doi:10.1063/1.3626196

Journal Article

First-order virial expansion of short-time diffusion and sedimentation coefficients of permeable particles suspensions

Abade, G. C. ; Cichocki, M. L. ; Ekiel-Jezewska, M. L. ; Nägele, G.FZJ* ; Wajnryb, E.

2011
American Institute of Physics [S.l.]

Physics of fluids 23, 083303 (2011) [10.1063/1.3626196]

This record in other databases:

Please use a persistent id in citations: http://hdl.handle.net/2128/7349 doi:10.1063/1.3626196

Abstract: 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]

Keyword(s): J

Classification:

Note: 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.

Contributing Institute(s):