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