Effective viscosity of random suspensions without uniform separation

  • Mitia Duerinckx

    Université Libre de Bruxelles (ULB), Brussels, Belgium; University of Paris-Saclay, Orsay, France
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Abstract

This work is devoted to the definition and the analysis of the effective viscosity associated with a random suspension of small rigid particles in a steady Stokes fluid. While previous works on the topic have conveniently assumed that particles are uniformly separated, we relax this restrictive assumption in the form of mild moment bounds on interparticle distances.

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Mitia Duerinckx, Effective viscosity of random suspensions without uniform separation. Ann. Inst. H. Poincaré Anal. Non Linéaire 39 (2022), no. 5, pp. 1009–1052

DOI 10.4171/AIHPC/25