This title appears in the Scientific Report :
2011
Please use the identifier:
http://hdl.handle.net/2128/7349 in citations.
Please use the identifier: http://dx.doi.org/10.1063/1.3626196 in citations.
First-order virial expansion of short-time diffusion and sedimentation coefficients of permeable particles suspensions
First-order virial expansion of short-time diffusion and sedimentation coefficients of permeable particles suspensions
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 in...
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Personal Name(s): | Abade, G.C. |
---|---|
Cichocki, M.L. / Ekiel-Jezewska, M.L. / Nägele, G. / Wajnryb, E. | |
Contributing Institute: |
Weiche Materie; ICS-3 |
Published in: | Physics of fluids, 23 (2011) S. 083303 |
Imprint: |
[S.l.]
American Institute of Physics
2011
|
Physical Description: |
083303 |
DOI: |
10.1063/1.3626196 |
Document Type: |
Journal Article |
Research Program: |
BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung |
Series Title: |
Physics of Fluids
23 |
Subject (ZB): | |
Link: |
Get full text Published under German "Allianz" Licensing conditions on 2011-08-31. Available in OpenAccess from 2011-08-31 |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1063/1.3626196 in citations.
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] |