eprintid: 10193263 rev_number: 11 eprint_status: archive userid: 699 dir: disk0/10/19/32/63 datestamp: 2024-06-11 15:21:24 lastmod: 2024-11-22 15:49:42 status_changed: 2024-06-11 15:21:24 type: article metadata_visibility: show sword_depositor: 699 creators_name: Escott, Liam J creators_name: Wilson, Helen J title: Rheology of a suspension of deformable spheres in a weakly viscoelastic fluid ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F59 keywords: Dilute suspension, Second-order fluid, Elastic solid, Cell model, Solid–fluid interactions, Constitutive model, Angle of inclination note: Copyright © 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). abstract: In this work, we consider a suspension of weakly deformable solid particles within a weakly viscoelastic fluid. The fluid phase is modelled as a second-order fluid, and particles within the suspended phase are assumed linearly elastic and relatively dilute. We apply a cell model as a proxy for mean field flow, and solve analytically within a cellular fluid layer and its enclosed particle. We use an ensemble averaging process to derive analytical results for the bulk stress in suspension, and evaluate the macroscopic properties in both shear and extensional flow. Our viscometric functions align with existing literature over a surprisingly broad range of fluid and solid elasticities. The suspension behaves macroscopically as a second-order fluid, and we give simple formulae by which the reader can calculate the parameters of this effective fluid, for use in more complex simulations. We additionally calculate the particle shape and orientation, and in simple shear flow show that the leadingorder modifications to the angle of inclination date: 2024-08 date_type: published publisher: Elsevier BV official_url: https://doi.org/10.1016/j.jnnfm.2024.105262 oa_status: green full_text_type: pub language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 2284215 doi: 10.1016/j.jnnfm.2024.105262 lyricists_name: Wilson, Helen lyricists_id: HWILS67 actors_name: Wilson, Helen actors_id: HWILS67 actors_role: owner full_text_status: public publication: Journal of Non-Newtonian Fluid Mechanics volume: 330 article_number: 105262 issn: 0377-0257 citation: Escott, Liam J; Wilson, Helen J; (2024) Rheology of a suspension of deformable spheres in a weakly viscoelastic fluid. Journal of Non-Newtonian Fluid Mechanics , 330 , Article 105262. 10.1016/j.jnnfm.2024.105262 <https://doi.org/10.1016/j.jnnfm.2024.105262>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10193263/1/Wilson_1-s2.0-S0377025724000788-main.pdf