Short-time dynamics and high-frequency rheology of suspensions of spherical core–shell particles with thin-shells

Hydrodynamic radius approximation for spherical particles suspended in a viscous fluid: Influence of particle internal structure and boundary

“…The example of the no-overlap direct interactions between permeable or core-shell particles in suspensions, discussed in Refs [29][30][31]34], indicates that in both cases, the typical inaccuracy of the hydrodynamic radius approximation is very small: comparable to or less than 5%, even for very condensed systems with φ = 0.45 [29,34].…”

“…[29][30][31]34] contain reference data for the transport coefficients of suspensions made of solid particles with hydrodynamic radii a ff , with larger no-overlap radii a. These results can be used to model suspensions made of particles of different internal structure and boundaries.…”

“…It has been checked that for a wide range of particle internal structures and boundaries, and the no-overlap direct interactions, deviations from the above approximation are very small [29,31,32,34] and as such, hard to be detected in experiments, even for relatively dense suspensions.…”

“…[29][30][31]34]. The direct interactions between particles considered there are given by the no-overlap condition, with the no-overlap radius equal to the geometrical radius a.…”

“…Ref. [31] is focused on the dynamics of dilute suspensions of non-overlapping core-shell particles with thin, uniformly permeable shells, and the ratio x = cκ of the inner radius c to the hydrodynamic screening length κ −1 of the permeable medium. In this reference, the virial coefficients, which correspond to pair hydrodynamic interactions, have been evaluated and discussed.…”