{"id":"https://openalex.org/W1816298418","doi":"https://doi.org/10.3233/asy-2011-1048","title":"Corrections to Kirchhoff's law for the flow of viscous fluid in thin bifurcating channels and pipes","display_name":"Corrections to Kirchhoff's law for the flow of viscous fluid in thin bifurcating channels and pipes","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W1816298418","doi":"https://doi.org/10.3233/asy-2011-1048","mag":"1816298418"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2011-1048","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1048","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"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/A5079610237","display_name":"Michael Lenzinger","orcid":null},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Lenzinger","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, Vogelpothsweg, Dortmund, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, Vogelpothsweg, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079610237"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.05804373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"75","issue":"1-2","first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9987999796867371,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9970999956130981,"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/mechanics","display_name":"Mechanics","score":0.5742387771606445},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5295000076293945},{"id":"https://openalex.org/keywords/viscous-flow","display_name":"Viscous flow","score":0.42553552985191345},{"id":"https://openalex.org/keywords/viscous-liquid","display_name":"Viscous liquid","score":0.41889306902885437},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.4113916754722595},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3719028830528259},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.32532209157943726},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.32033878564834595},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.09424817562103271}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5742387771606445},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5295000076293945},{"id":"https://openalex.org/C2983380864","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Viscous flow","level":2,"score":0.42553552985191345},{"id":"https://openalex.org/C71351571","wikidata":"https://www.wikidata.org/wiki/Q7935890","display_name":"Viscous liquid","level":2,"score":0.41889306902885437},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.4113916754722595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3719028830528259},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.32532209157943726},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32033878564834595},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.09424817562103271}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2011-1048","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1048","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W58882773","https://openalex.org/W783301681","https://openalex.org/W1952384558","https://openalex.org/W2026463274","https://openalex.org/W2027618149","https://openalex.org/W2033700896","https://openalex.org/W2048087357","https://openalex.org/W2062861068","https://openalex.org/W2074404580","https://openalex.org/W2076582418","https://openalex.org/W2095012342","https://openalex.org/W2098995647","https://openalex.org/W2137503895","https://openalex.org/W2794697590"],"related_works":["https://openalex.org/W2770882278","https://openalex.org/W2171023148","https://openalex.org/W2728099187","https://openalex.org/W2160712276","https://openalex.org/W2049550974","https://openalex.org/W1505275404","https://openalex.org/W4312819787","https://openalex.org/W2001104544","https://openalex.org/W3098960445","https://openalex.org/W2026120503"],"abstract_inverted_index":{"We":[0,60,92],"consider":[1],"the":[2,27,35,45,73,80,84,90,100,112,120,123,127,130,133],"flow":[3,78,88,128],"of":[4,12,19,47,57,67,76,83,99,114,122,126],"a":[5,10,16,52,94],"viscous":[6],"Newtonian":[7],"fluid":[8],"in":[9,65,79,89,103,129],"bifurcation":[11,85],"thin":[13],"pipes":[14],"with":[15,31],"diameter-to-length":[17],"ratio":[18],"order":[20,58],"O(\u03b5).":[21,59],"The":[22],"model":[23],"is":[24,42],"based":[25],"on":[26,34],"stationary":[28],"Navier\u2013Stokes":[29],"equations":[30],"pressure":[32],"conditions":[33],"outflow":[36],"boundaries.":[37],"Existence":[38],"and":[39,69,86],"local":[40],"uniqueness":[41],"established":[43],"under":[44],"assumption":[46],"small":[48],"data":[49],"represented":[50],"by":[51],"Reynolds":[53],"number":[54],"Re":[55,70],"\u03b5":[56,68,71],"construct":[61],"an":[62],"asymptotic":[63],"expansion":[64],"powers":[66],"for":[72,111],"solution":[74],"consisting":[75],"Stokes":[77],"junction":[81],"part":[82],"Poiseuille":[87],"pipes.":[91],"introduce":[93],"correction":[95],"to":[96,107],"Kirchhoff's":[97],"law":[98],"balancing":[101],"fluxes":[102],"O(\u03b5)":[104],"which":[105],"allows":[106],"establish":[108],"error":[109],"estimates":[110,117],"gradient":[113],"velocity.":[115],"These":[116],"result":[118],"from":[119],"analysis":[121],"decay":[124],"properties":[125],"layer":[131],"near":[132],"bifurcation.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}