{"id":"https://openalex.org/W2108752128","doi":"https://doi.org/10.1051/epjap:1998125","title":"Rheological modelling of complex fluids. I. The concept of effective volume fraction revisited","display_name":"Rheological modelling of complex fluids. I. The concept of effective volume fraction revisited","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2108752128","doi":"https://doi.org/10.1051/epjap:1998125","mag":"2108752128"},"language":"en","primary_location":{"id":"doi:10.1051/epjap:1998125","doi":"https://doi.org/10.1051/epjap:1998125","is_oa":false,"landing_page_url":"https://doi.org/10.1051/epjap:1998125","pdf_url":null,"source":{"id":"https://openalex.org/S201767027","display_name":"The European Physical Journal Applied Physics","issn_l":"1286-0042","issn":["1286-0042","1286-0050"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Applied Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006735422","display_name":"D. Qu\u00e9mada","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387154366","display_name":"Universit\u00e9 Paris Diderot","ror":"https://ror.org/02n7qrg46","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241","https://openalex.org/I4387154366"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"D. Quemada","raw_affiliation_strings":["Laboratoire de Biorheologie et d'Hydrodynamique Physico-chimique, case 7056, Universit\u00e9 Paris VII, 2 place Jussieu, 75251 Paris Cedex 05, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Biorheologie et d'Hydrodynamique Physico-chimique, case 7056, Universit\u00e9 Paris VII, 2 place Jussieu, 75251 Paris Cedex 05, France","institution_ids":["https://openalex.org/I4387154366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006735422"],"corresponding_institution_ids":["https://openalex.org/I4387154366"],"apc_list":{"value":1650,"currency":"EUR","value_usd":1865},"apc_paid":null,"fwci":2.2524,"has_fulltext":false,"cited_by_count":250,"citation_normalized_percentile":{"value":0.87319538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"1","issue":"1","first_page":"119","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11721","display_name":"Blood properties and coagulation","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2720","display_name":"Hematology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/complex-fluids","display_name":"complex fluids","score":0.9750000238418579},{"id":"https://openalex.org/keywords/effective-volume-fraction","display_name":"effective volume fraction","score":0.8790000081062317},{"id":"https://openalex.org/keywords/concentrated-dispersions","display_name":"concentrated dispersions","score":0.675000011920929},{"id":"https://openalex.org/keywords/hard-sphere-model","display_name":"hard-sphere model","score":0.6840000152587891},{"id":"https://openalex.org/keywords/structural-units","display_name":"structural units","score":0.5950000286102295},{"id":"https://openalex.org/keywords/shear-dependent-viscosity","display_name":"shear-dependent viscosity","score":0.5479999780654907},{"id":"https://openalex.org/keywords/non-newtonian-flow","display_name":"non-Newtonian flow","score":0.722000002861023},{"id":"https://openalex.org/keywords/kinetic-equations","display_name":"kinetic equations","score":0.6000000238418579},{"id":"https://openalex.org/keywords/structural-modeling","display_name":"structural modeling","score":0.45100000500679016},{"id":"https://openalex.org/keywords/shear-thinning-fluids","display_name":"shear-thinning fluids","score":0.6069999933242798},{"id":"https://openalex.org/keywords/shear-thickening-fluids","display_name":"shear-thickening fluids","score":0.8169999718666077},{"id":"https://openalex.org/keywords/steady-shear","display_name":"steady shear flow","score":0.5419999957084656},{"id":"https://openalex.org/keywords/hydrodynamic-interactions","display_name":"hydrodynamic interactions","score":0.4790000021457672}],"concepts":[{"id":"https://openalex.org/C74108042","wikidata":"https://www.wikidata.org/wiki/Q1225407","display_name":"Dilatant","level":2,"score":0.7268828749656677},{"id":"https://openalex.org/C200990466","wikidata":"https://www.wikidata.org/wiki/Q271707","display_name":"Rheology","level":2,"score":0.6522647738456726},{"id":"https://openalex.org/C165682214","wikidata":"https://www.wikidata.org/wiki/Q461293","display_name":"Shear rate","level":3,"score":0.6328901052474976},{"id":"https://openalex.org/C119887631","wikidata":"https://www.wikidata.org/wiki/Q3074478","display_name":"Complex fluid","level":2,"score":0.5865973234176636},{"id":"https://openalex.org/C65590680","wikidata":"https://www.wikidata.org/wiki/Q909482","display_name":"Volume fraction","level":2,"score":0.5854840278625488},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.5215252041816711},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.5125067234039307},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.508829653263092},{"id":"https://openalex.org/C135768490","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Shear flow","level":2,"score":0.4887077808380127},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4411594569683075},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.426480233669281},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.41713374853134155},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3908020853996277},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3618510961532593},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22286146879196167},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.10165953636169434}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/epjap:1998125","doi":"https://doi.org/10.1051/epjap:1998125","is_oa":false,"landing_page_url":"https://doi.org/10.1051/epjap:1998125","pdf_url":null,"source":{"id":"https://openalex.org/S201767027","display_name":"The European Physical Journal Applied Physics","issn_l":"1286-0042","issn":["1286-0042","1286-0050"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Applied Physics","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/epjap:1998125","doi":null,"is_oa":false,"landing_page_url":"https://www.epjap.org/10.1051/epjap:1998125/pdf","pdf_url":"https://www.epjap.org/10.1051/epjap:1998125/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/epjap:1998125","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1994067982","https://openalex.org/W2583162047","https://openalex.org/W2104701711","https://openalex.org/W2949454705","https://openalex.org/W6940400579","https://openalex.org/W1984840072","https://openalex.org/W3151203627","https://openalex.org/W4409035447","https://openalex.org/W38310496","https://openalex.org/W2073069945"],"abstract_inverted_index":{"Number":[0],"of":[1,22,60,76,85,88,95,120,184,190,199,209,227,242],"complex":[2,50,80,210],"fluids":[3,211],"(as":[4],"slurries,":[5],"drilling":[6],"muds,":[7],"paints":[8],"and":[9,39,130],"coatings,":[10],"many":[11],"foods,":[12],"cosmetics,":[13],"biofluids...)":[14],"can":[15,52,113],"approximately":[16,35],"be":[17,34,53,245],"described":[18],"as":[19,55,216,236],"concentrated":[20],"dispersions":[21,87],"Structural":[23],"Units":[24],"(SUs).":[25],"Due":[26],"to":[27,33,71,79,171,205,230],"shear":[28,168,214,229,232],"forces,":[29],"SUs":[30,63,89,124,128],"are":[31],"assumed":[32],"spherical":[36,62],"in":[37,41,106,156],"shape":[38],"uniform":[40],"size":[42],"under":[43,212],"steady":[44,196,213],"flow":[45,103],"conditions,":[46,215],"so":[47],"that":[48,122],"a":[49,56,65,140,147,166,186,237],"fluid":[51],"considered":[54],"roughly":[57,61],"monodisperse":[58,77],"dispersion":[59],"(with":[64],"shear-dependent":[66,152],"mean":[67],"radius),":[68],"what":[69],"allows":[70,204],"generalize":[72],"hard":[73,191],"sphere":[74,192],"models":[75],"suspensions":[78],"fluids.":[81],"A":[82],"rheological":[83],"model":[84,189,206],"such":[86],"is":[90,144,178],"based":[91],"on":[92,102,164],"the":[93,96,117,135,151,157,159,195,200,225],"concept":[94],"effective":[97],"volume":[98],"fraction,":[99],"which":[100],"depends":[101,163],"conditions.":[104],"Indeed,":[105],"competition":[107],"with":[108],"particle":[109],"interactions,":[110],"hydrodynamic":[111],"forces":[112],"modify":[114],"(i)":[115],"S,":[116],"number":[118],"fraction":[119],"particles":[121],"all":[123],"contain,":[125],"(ii)":[126],"both":[127],"arrangements":[129],"their":[131],"internal":[132],"structure,":[133],"especially":[134],"SU's":[136],"compactness,":[137],"\u03c6.":[138],"As":[139],"structural":[141,176],"variable,":[142,169],"S":[143,162],"governed":[145],"by":[146,180],"kinetic":[148,153,201],"equation.":[149],"Through":[150],"rates":[154],"involved":[155],"latter,":[158],"general":[160],"solution":[161,198],"\u0393,":[165],"dimensionless":[167],"leading":[170],"(t,":[172],"\u0393;":[173],"\u03c6).":[174],"The":[175],"modelling":[177],"achieved":[179],"introducing":[181],"this":[182,223],"expression":[183],"into":[185],"well-established":[187],"viscosity":[188],"suspensions.":[193],"Using":[194],"state":[197],"equation,":[202],"Seq(\u0393),":[203],"non-Newtonian":[207],"behaviors":[208],"pseudo-plastic,":[217],"plastic,":[218],"dilatant":[219],"...":[220],"ones.":[221],"In":[222],"model,":[224],"ratio":[226],"high":[228],"low":[231],"limiting":[233],"viscosities":[234],"appears":[235],"key":[238],"variable.":[239],"Different":[240],"examples":[241],"application":[243],"will":[244],"discussed.":[246]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":13}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}
