Author:
Höfer Richard M.,Mecherbet Amina,Schubert Richard
Abstract
AbstractWe consider a suspension of spherical inertialess particles in a Stokes flow on the torus$$\mathbb {T}^3$$T3. The particles perturb a linear extensional flow due to their rigidity constraint. Due to the singular nature of this perturbation, no mean-field limit for the behavior of the particle orientation can be valid. This contrasts with widely used models in the literature such as the FENE and Doi models and similar models for active suspensions. The proof of this result is based on the study of the mobility problem of a single particle in a non-cubic torus, which we prove to exhibit a nontrivial coupling between the angular velocity and a prescribed strain.
Funder
Deutsche Akademie der Naturforscher Leopoldina - Nationale Akademie der Wissenschaften
Agence Nationale de la Recherche
Deutsche Forschungsgemeinschaft
Rheinische Friedrich-Wilhelms-Universität Bonn
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering,Modeling and Simulation
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