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math.AP2022
Non-existence of mean-field models for particle orientations in suspensions
Richard M. Höfer, Amina Mecherbet, Richard Schubert
We consider a suspension of spherical inertialess particles in a Stokes flow on the torus . The particles perturb a linear extensional flow due to their rigidity const…
math.AP2020
The Influence of Einstein's Effective Viscosity on Sedimentation at Very Small Particle Volume Fraction
Richard M. Höfer, Richard Schubert
We investigate the sedimentation of identical inertialess spherical particles in a Stokes fluid in the limit of many small particles. It is known that the presence of the particles…
math.AP2019
A local version of Einstein's formula for the effective viscosity of suspensions
Barbara Niethammer, Richard Schubert
We prove a local variant of Einstein's formula for the effective viscosity of dilute suspensions, that is , where is the volume fraction of the s…