{"id":"https://openalex.org/W2008564687","doi":"https://doi.org/10.1063/1.4881195","title":"Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants","display_name":"Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2008564687","doi":"https://doi.org/10.1063/1.4881195","mag":"2008564687"},"language":"en","primary_location":{"id":"doi:10.1063/1.4881195","doi":"https://doi.org/10.1063/1.4881195","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.4881195","pdf_url":null,"source":{"id":"https://openalex.org/S22862804","display_name":"Physics of Fluids","issn_l":"1070-6631","issn":["1070-6631","1089-7666","1527-2435"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics of Fluids","raw_type":"journal-article"},"volume":null,"type":"article","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/A5100390198","display_name":"Zhen Zhang","orcid":"https://orcid.org/0000-0003-2805-4396","observed_orcids":["https://orcid.org/0000-0003-2805-4396"]},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Zhen Zhang","raw_affiliation_strings":["National University of Singapore 1 Department of Mathematics, , Singapore 119076","[Department of Mathematics, National University of Singapore, Singapore 119076.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Singapore 1 Department of Mathematics, , Singapore 119076","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Department of Mathematics, National University of Singapore, Singapore 119076.]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080267047","display_name":"Shixin Xu","orcid":"https://orcid.org/0000-0002-8207-7313","observed_orcids":["https://orcid.org/0000-0002-8207-7313","https://orcid.org/0009-0003-1653-0436"]},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Shixin Xu","raw_affiliation_strings":["National University of Singapore 1 Department of Mathematics, , Singapore 119076","[Department of Mathematics, National University of Singapore, Singapore 119076.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Singapore 1 Department of Mathematics, , Singapore 119076","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Department of Mathematics, National University of Singapore, Singapore 119076.]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053381657","display_name":"Weiqing Ren","orcid":"https://orcid.org/0000-0001-5730-867X","observed_orcids":["https://orcid.org/0000-0001-5730-867X"]},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I3004594783","display_name":"Institute of High Performance Computing","ror":"https://ror.org/02n0ejh50","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Weiqing Ren","raw_affiliation_strings":["Institute of High Performance Computing 2 , Agency for Science, Technology and Research, Singapore 138632","National University of Singapore 1 Department of Mathematics, , Singapore 119076"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Performance Computing 2 , Agency for Science, Technology and Research, Singapore 138632","institution_ids":["https://openalex.org/I115228651","https://openalex.org/I3004594783"]},{"raw_affiliation_string":"National University of Singapore 1 Department of Mathematics, , Singapore 119076","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.51,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.79598958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"26","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9189000129699707,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9189000129699707,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.06210000067949295,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.004800000227987766,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/moving-contact-line","display_name":"moving contact line","score":0.9779999852180481},{"id":"https://openalex.org/keywords/insoluble-surfactant","display_name":"insoluble surfactant","score":0.9950000047683716},{"id":"https://openalex.org/keywords/immiscible-fluids","display_name":"immiscible fluids","score":0.6869999766349792},{"id":"https://openalex.org/keywords/continuum-model","display_name":"continuum model","score":0.8019999861717224},{"id":"https://openalex.org/keywords/energy-dissipation","display_name":"energy dissipation","score":0.8640000224113464},{"id":"https://openalex.org/keywords/dynamic-contact-angle","display_name":"dynamic contact angle","score":0.8159999847412109},{"id":"https://openalex.org/keywords/slip-velocity","display_name":"slip velocity","score":0.7590000033378601},{"id":"https://openalex.org/keywords/convection-diffusion-equation","display_name":"advection-diffusion equation","score":0.7879999876022339},{"id":"https://openalex.org/keywords/navier-stokes-equations","display_name":"Navier-Stokes equations","score":0.8330000042915344},{"id":"https://openalex.org/keywords/finite-element-analysis","display_name":"finite element analysis","score":0.7599999904632568},{"id":"https://openalex.org/keywords/surfactant-diffusion","display_name":"surfactant diffusion","score":0.6230000257492065},{"id":"https://openalex.org/keywords/interfacial-conditions","display_name":"interfacial conditions","score":0.5960000157356262}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8483816385269165},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.8067129850387573},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6633932590484619},{"id":"https://openalex.org/C16304620","wikidata":"https://www.wikidata.org/wiki/Q1396948","display_name":"No-slip condition","level":4,"score":0.567523717880249},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5627456307411194},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5444175004959106},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.4996836185455322},{"id":"https://openalex.org/C58226133","wikidata":"https://www.wikidata.org/wiki/Q1324199","display_name":"Pulmonary surfactant","level":2,"score":0.4777909219264984},{"id":"https://openalex.org/C6556556","wikidata":"https://www.wikidata.org/wiki/Q899239","display_name":"Contact angle","level":2,"score":0.4705638885498047},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.36960723996162415},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.19856590032577515},{"id":"https://openalex.org/C151890184","wikidata":"https://www.wikidata.org/wiki/Q1660471","display_name":"Boundary layer thickness","level":3,"score":0.0749322772026062},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.4881195","doi":"https://doi.org/10.1063/1.4881195","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.4881195","pdf_url":null,"source":{"id":"https://openalex.org/S22862804","display_name":"Physics of Fluids","issn_l":"1070-6631","issn":["1070-6631","1089-7666","1527-2435"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics of Fluids","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","score":0.75,"id":"https://metadata.un.org/sdg/7"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W566007288","https://openalex.org/W653564841","https://openalex.org/W1507719264","https://openalex.org/W1591393979","https://openalex.org/W1600737784","https://openalex.org/W1967370650","https://openalex.org/W1985270853","https://openalex.org/W1986917744","https://openalex.org/W1997875358","https://openalex.org/W1998176622","https://openalex.org/W2002644597","https://openalex.org/W2005807891","https://openalex.org/W2011615312","https://openalex.org/W2017929688","https://openalex.org/W2018481242","https://openalex.org/W2025148375","https://openalex.org/W2026745111","https://openalex.org/W2026750185","https://openalex.org/W2027456104","https://openalex.org/W2032930241","https://openalex.org/W2064240269","https://openalex.org/W2070645645","https://openalex.org/W2070946962","https://openalex.org/W2071671952","https://openalex.org/W2079213760","https://openalex.org/W2084159787","https://openalex.org/W2093251719","https://openalex.org/W2102204567","https://openalex.org/W2103155453","https://openalex.org/W2106469122","https://openalex.org/W2114955730","https://openalex.org/W2115463092","https://openalex.org/W2119283405","https://openalex.org/W2123378618","https://openalex.org/W2151306679","https://openalex.org/W2155788949","https://openalex.org/W2332357967","https://openalex.org/W2479696021","https://openalex.org/W2786589993"],"related_works":["https://openalex.org/W2356640391","https://openalex.org/W2051040829","https://openalex.org/W2011098670","https://openalex.org/W2073910582","https://openalex.org/W2100742431","https://openalex.org/W2802013907","https://openalex.org/W2111355052","https://openalex.org/W3207370264","https://openalex.org/W3087105431","https://openalex.org/W4287664812"],"abstract_inverted_index":{"A":[0,114],"continuous":[1],"model":[2,25],"is":[3,118],"derived":[4,71],"for":[5,31,42,58,65,120],"the":[6,28,32,35,43,46,49,55,59,63,66,73,84,87,90,95,101,105,112,121,130,135],"dynamics":[7,33],"of":[8,27,34,45,75,80,107,132,142],"two":[9,36],"immiscible":[10],"fluids":[11,37],"with":[12],"moving":[13],"contact":[14,68,96,136],"lines":[15],"and":[16,38,62,93],"insoluble":[17],"surfactants":[18],"based":[19],"on":[20,48,89,134],"thermodynamic":[21],"principles.":[22],"The":[23,52,139],"continuum":[24,122],"consists":[26],"Navier-Stokes":[29],"equations":[30],"a":[39],"convection-diffusion":[40],"equation":[41],"evolution":[44],"surfactant":[47,133],"fluid":[50],"interface.":[51],"interface":[53],"condition,":[54],"boundary":[56],"condition":[57,64],"slip":[60],"velocity,":[61],"dynamic":[67],"angle":[69],"are":[70,109,126,145],"from":[72,111],"consideration":[74],"energy":[76,81,143],"dissipations.":[77],"Different":[78],"types":[79,141],"dissipations,":[82],"including":[83],"viscous":[85],"dissipation,":[86],"dissipations":[88,144],"solid":[91],"wall":[92],"at":[94],"line,":[97],"as":[98,100],"well":[99],"dissipation":[102],"due":[103],"to":[104,128],"diffusion":[106],"surfactant,":[108],"identified":[110],"analysis.":[113],"finite":[115],"element":[116],"method":[117],"developed":[119],"model.":[123],"Numerical":[124],"experiments":[125],"performed":[127],"demonstrate":[129],"influence":[131],"line":[137],"dynamics.":[138],"different":[140],"compared":[146],"numerically.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2025-10-10T00:00:00"}
