{"paper":{"title":"Rheology of suspensions of viscoelastic spheres: deformability as an effective volume fraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Dhrubaditya Mitra, Luca Brandt, Marco Edoardo Rosti","submitted_at":"2017-09-13T09:28:39Z","abstract_excerpt":"We study suspensions of deformable (viscoelastic) spheres in a Newtonian solvent in plane Couette geometry, by means of direct numerical simulations. We find that in the limit of vanishing inertia the effective viscosity $\\mu$ of the suspension increases as the volume-fraction occupied by the spheres $\\Phi$ increases and decreases as the elastic modulus of the spheres $G$ decreases; the function $\\mu(\\Phi,G)$ collapses to an universal function, $\\mu(\\Phi_e)$, with a reduced effective volume fraction $\\Phi_e(\\Phi,G)$. Remarkably, the function $\\mu(\\Phi_e)$ is the well-known Eilers fit that desc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04210","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}