<> <http://www.w3.org/2000/01/rdf-schema#comment> "The repository administrator has not yet configured an RDF license."^^<http://www.w3.org/2001/XMLSchema#string> . <> <http://xmlns.com/foaf/0.1/primaryTopic> <https://discovery.ucl.ac.uk/id/eprint/10193263> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/AcademicArticle> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Article> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/title> "Rheology of a suspension of deformable spheres in a weakly viscoelastic fluid"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/ontology/bibo/abstract> "In this work, we consider a suspension of weakly deformable solid particles within a weakly viscoelastic fluid.\r\nThe fluid phase is modelled as a second-order fluid, and particles within the suspended phase are assumed\r\nlinearly elastic and relatively dilute. We apply a cell model as a proxy for mean field flow, and solve analytically\r\nwithin a cellular fluid layer and its enclosed particle. We use an ensemble averaging process to derive analytical\r\nresults for the bulk stress in suspension, and evaluate the macroscopic properties in both shear and extensional\r\nflow. Our viscometric functions align with existing literature over a surprisingly broad range of fluid and solid\r\nelasticities.\r\nThe suspension behaves macroscopically as a second-order fluid, and we give simple formulae by which\r\nthe reader can calculate the parameters of this effective fluid, for use in more complex simulations. We\r\nadditionally calculate the particle shape and orientation, and in simple shear flow show that the leadingorder modifications to the angle of inclination "^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/date> "2024-08" . <https://discovery.ucl.ac.uk/id/document/1801122> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Document> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/ontology/bibo/volume> "330" . <https://discovery.ucl.ac.uk/id/org/ext-464ff5f0fac4572c5372d3e7fc978be1> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://xmlns.com/foaf/0.1/Organization> . <https://discovery.ucl.ac.uk/id/org/ext-464ff5f0fac4572c5372d3e7fc978be1> <http://xmlns.com/foaf/0.1/name> "Elsevier BV"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/publisher> <https://discovery.ucl.ac.uk/id/org/ext-464ff5f0fac4572c5372d3e7fc978be1> . <https://discovery.ucl.ac.uk/id/publication/ext-03770257> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Collection> . <https://discovery.ucl.ac.uk/id/publication/ext-03770257> <http://xmlns.com/foaf/0.1/name> "Journal of Non-Newtonian Fluid Mechanics"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/isPartOf> <https://discovery.ucl.ac.uk/id/publication/ext-03770257> . <https://discovery.ucl.ac.uk/id/publication/ext-03770257> <http://www.w3.org/2002/07/owl#sameAs> <urn:issn:03770257> . <https://discovery.ucl.ac.uk/id/publication/ext-03770257> <http://purl.org/ontology/bibo/issn> "03770257" . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/ontology/bibo/status> <http://purl.org/ontology/bibo/status/published> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/creator> <https://discovery.ucl.ac.uk/id/person/ext-329c3c0b7a2e0866e6f2346597a1dce3> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/ontology/bibo/authorList> <https://discovery.ucl.ac.uk/id/eprint/10193263#authors> . <https://discovery.ucl.ac.uk/id/eprint/10193263#authors> <http://www.w3.org/1999/02/22-rdf-syntax-ns#_1> <https://discovery.ucl.ac.uk/id/person/ext-329c3c0b7a2e0866e6f2346597a1dce3> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/creator> <https://discovery.ucl.ac.uk/id/person/ext-689cb579fee278f01b53531a48d80722> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/ontology/bibo/authorList> <https://discovery.ucl.ac.uk/id/eprint/10193263#authors> . <https://discovery.ucl.ac.uk/id/eprint/10193263#authors> <http://www.w3.org/1999/02/22-rdf-syntax-ns#_2> <https://discovery.ucl.ac.uk/id/person/ext-689cb579fee278f01b53531a48d80722> . <https://discovery.ucl.ac.uk/id/person/ext-329c3c0b7a2e0866e6f2346597a1dce3> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://xmlns.com/foaf/0.1/Person> . <https://discovery.ucl.ac.uk/id/person/ext-329c3c0b7a2e0866e6f2346597a1dce3> <http://xmlns.com/foaf/0.1/givenName> "Liam J"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-329c3c0b7a2e0866e6f2346597a1dce3> <http://xmlns.com/foaf/0.1/familyName> "Escott"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-329c3c0b7a2e0866e6f2346597a1dce3> <http://xmlns.com/foaf/0.1/name> "Liam J Escott"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-689cb579fee278f01b53531a48d80722> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://xmlns.com/foaf/0.1/Person> . <https://discovery.ucl.ac.uk/id/person/ext-689cb579fee278f01b53531a48d80722> <http://xmlns.com/foaf/0.1/givenName> "Helen J"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-689cb579fee278f01b53531a48d80722> <http://xmlns.com/foaf/0.1/familyName> "Wilson"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-689cb579fee278f01b53531a48d80722> <http://xmlns.com/foaf/0.1/name> "Helen J Wilson"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/EPrint> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/ArticleEPrint> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://purl.org/dc/terms/isPartOf> <https://discovery.ucl.ac.uk/id/repository> . <https://discovery.ucl.ac.uk/id/eprint/10193263> <http://eprints.org/ontology/hasDocument> <https://discovery.ucl.ac.uk/id/document/1801122> . <https://discovery.ucl.ac.uk/id/document/1801122> 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