期刊
PHYSICS OF FLUIDS
卷 23, 期 8, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3626196
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资金
- Polish Ministry of Science and Higher Education [N N501 156538]
- Deutsche Forschungsgemeinschaft [SFB-TR6, B2]
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]
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