{"id":"https://openalex.org/W2472043938","doi":"https://doi.org/10.1017/s0001925900000184","title":"Approximate Calculation of the Laminar Boundary Layer","display_name":"Approximate Calculation of the Laminar Boundary Layer","publication_year":1949,"publication_date":"1949-11-01","ids":{"openalex":"https://openalex.org/W2472043938","doi":"https://doi.org/10.1017/s0001925900000184","mag":"2472043938"},"language":"en","primary_location":{"id":"doi:10.1017/s0001925900000184","doi":"https://doi.org/10.1017/s0001925900000184","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0001925900000184","pdf_url":null,"source":{"id":"https://openalex.org/S2764627771","display_name":"Aeronautical Quarterly","issn_l":"0001-9259","issn":["0001-9259","2398-2179"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Aeronautical Quarterly","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/A5050454652","display_name":"Bryan Thwaites","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"B. Thwaites","raw_affiliation_strings":["Aeronautics Department, Imperial College, London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aeronautics Department, Imperial College, London","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050454652"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":4.022,"has_fulltext":false,"cited_by_count":427,"citation_normalized_percentile":{"value":0.93128205,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"1","issue":"3","first_page":"245","last_page":"280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.9208999872207642,"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/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.9208999872207642,"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":0.06499999761581421,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.006500000134110451,"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/laminar-boundary-layer","display_name":"laminar boundary layer","score":0.9980000257492065},{"id":"https://openalex.org/keywords/approximation-methods","display_name":"approximation methods","score":0.7319999933242798},{"id":"https://openalex.org/keywords/viscous-incompressible-flow","display_name":"incompressible viscous flow","score":0.847000002861023},{"id":"https://openalex.org/keywords/pressure-distribution","display_name":"pressure distribution","score":0.4440000057220459},{"id":"https://openalex.org/keywords/two-dimensional-flow","display_name":"two-dimensional flow","score":0.5960000157356262}],"concepts":[{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.851793646812439},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.735801100730896},{"id":"https://openalex.org/C23221634","wikidata":"https://www.wikidata.org/wiki/Q4925317","display_name":"Blasius boundary layer","level":4,"score":0.7145119309425354},{"id":"https://openalex.org/C151890184","wikidata":"https://www.wikidata.org/wiki/Q1660471","display_name":"Boundary layer thickness","level":3,"score":0.6781671047210693},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.6272591352462769},{"id":"https://openalex.org/C49221354","wikidata":"https://www.wikidata.org/wiki/Q3689304","display_name":"Boundary layer control","level":4,"score":0.5590100288391113},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5338211059570312},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.5021617412567139},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4958227574825287},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.4839246869087219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45603689551353455},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.44097888469696045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4407680332660675},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4347872734069824},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42034444212913513},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4170882999897003},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3954154849052429},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27255141735076904},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.16770142316818237},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.07943037152290344},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0001925900000184","doi":"https://doi.org/10.1017/s0001925900000184","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0001925900000184","pdf_url":null,"source":{"id":"https://openalex.org/S2764627771","display_name":"Aeronautical Quarterly","issn_l":"0001-9259","issn":["0001-9259","2398-2179"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Aeronautical Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W213170984","https://openalex.org/W2091520297","https://openalex.org/W2117750491","https://openalex.org/W3165883972"],"related_works":["https://openalex.org/W7098977016","https://openalex.org/W2004899166","https://openalex.org/W7054672873","https://openalex.org/W3164525098","https://openalex.org/W2485308503","https://openalex.org/W2051329416","https://openalex.org/W3014422442","https://openalex.org/W7162976944","https://openalex.org/W3022422225","https://openalex.org/W2049312070"],"abstract_inverted_index":{"The":[0,42],"steady":[1],"two-dimensional":[2],"flow":[3],"of":[4,26,55,64,78,82,88,109,113,129],"viscous":[5],"incompressible":[6],"fluid":[7],"in":[8,32,39,66],"the":[9,23,61,75,79,83,86,91,100,118,127],"boundary":[10],"layer":[11],"along":[12,90,117],"a":[13,29,110],"solid":[14],"boundary,":[15],"which":[16,31,58],"is":[17,34,120],"governed":[18],"by":[19,107,122,126],"Prandtl's":[20],"approximation":[21],"to":[22],"full":[24],"equations":[25],"motion,":[27],"presents":[28],"problem":[30],"general":[33],"as":[35,37],"intractable":[36],"any":[38,105],"applied":[40],"mathematics.":[41],"problem,":[43],"however,":[44],"has":[45],"such":[46],"an":[47],"immediate":[48],"and":[49,68],"necessary":[50],"application":[51],"that":[52],"approximate":[53],"methods":[54,96],"varying":[56],"accuracy":[57],"go":[59],"beyond":[60],"formal":[62],"processes":[63],"expansions":[65],"series":[67],"so":[69],"on,":[70],"have":[71],"been":[72],"devised":[73],"for":[74],"rapid":[76],"calculation":[77],"principal":[80],"characteristics":[81],"laminar":[84],"boundary-layer,":[85],"variation":[87],"pressure":[89],"surface":[92,119],"being":[93],"known.":[94],"Such":[95],"usually":[97],"represent":[98],"approximately":[99],"boundary-layer":[101],"velocity":[102],"distribution":[103],"at":[104],"point":[106],"one":[108],"known":[111],"family":[112],"distributions":[114],"whose":[115],"spacing":[116],"determined":[121],"some":[123],"means,":[124],"often":[125],"use":[128],"K\u00e1rm\u00e1n's":[130],"momentum":[131],"equation.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":13}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-07-22T00:00:00"}