{"id":"https://openalex.org/W7214244192","doi":"https://doi.org/10.48550/arxiv.2609.28151","title":"Effects of Corner Radius and Knudsen Number on Rarefied Gas Flow in a Lid-Driven Cavity","display_name":"Effects of Corner Radius and Knudsen Number on Rarefied Gas Flow in a Lid-Driven Cavity","publication_year":2026,"publication_date":"2026-09-23","ids":{"openalex":"https://openalex.org/W7214244192","doi":"https://doi.org/10.48550/arxiv.2609.28151"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.28151","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28151","pdf_url":"https://arxiv.org/pdf/2609.28151","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.28151","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089253853","display_name":"Peiliang Yan","orcid":"https://orcid.org/0000-0002-8977-0698","observed_orcids":["https://orcid.org/0000-0002-8977-0698"]},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yan, Peiliang","raw_affiliation_strings":["Department of Engineering , Faculty of Environment, Science and Economy , University of Exeter , Exeter , EX4 4QF , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering , Faculty of Environment, Science and Economy , University of Exeter , Exeter , EX4 4QF , UK","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047776951","display_name":"Chuang Wen","orcid":"https://orcid.org/0000-0002-4445-1589","observed_orcids":["https://orcid.org/0000-0002-4445-1589"]},"institutions":[{"id":"https://openalex.org/I71637028","display_name":"University of Brighton","ror":"https://ror.org/04kp2b655","country_code":"GB","type":"education","lineage":["https://openalex.org/I71637028"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Wen, Chuang","raw_affiliation_strings":["Advanced Engineering Centre , School of Architecture, Technology and Engineering , University of Brighton , Brighton BN2 4GJ , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Engineering Centre , School of Architecture, Technology and Engineering , University of Brighton , Brighton BN2 4GJ , UK","institution_ids":["https://openalex.org/I71637028"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":9.999999747378752e-05,"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":0.0,"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/rarefied-gas-flow","display_name":"rarefied gas flow","score":0.9490000009536743},{"id":"https://openalex.org/keywords/lid-driven-cavity-flow","display_name":"lid-driven cavity flow","score":0.9110000133514404},{"id":"https://openalex.org/keywords/corner-radius","display_name":"corner radius","score":0.7850000262260437},{"id":"https://openalex.org/keywords/knudsen-number","display_name":"Knudsen number","score":0.9570000171661377},{"id":"https://openalex.org/keywords/corner-rounding","display_name":"corner rounding","score":0.6539999842643738},{"id":"https://openalex.org/keywords/vortex-circulation","display_name":"vortex circulation","score":0.3720000088214874},{"id":"https://openalex.org/keywords/temperature-anisotropy","display_name":"temperature anisotropy","score":0.8140000104904175},{"id":"https://openalex.org/keywords/translational-temperature","display_name":"translational temperature","score":0.7570000290870667},{"id":"https://openalex.org/keywords/number-density","display_name":"number density","score":0.5329999923706055},{"id":"https://openalex.org/keywords/velocity-profiles","display_name":"velocity profiles","score":0.6499999761581421},{"id":"https://openalex.org/keywords/rarefaction-effects","display_name":"rarefaction effects","score":0.4950000047683716}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.657800018787384},{"id":"https://openalex.org/C121838276","wikidata":"https://www.wikidata.org/wiki/Q898463","display_name":"Knudsen number","level":2,"score":0.6104999780654907},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.552299976348877},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5410000085830688},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.5241000056266785},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5216000080108643},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4964999854564667},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.49619999527931213},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.475600004196167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44449999928474426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4011000096797943},{"id":"https://openalex.org/C164916747","wikidata":"https://www.wikidata.org/wiki/Q4382753","display_name":"Direct simulation Monte Carlo","level":4,"score":0.3747999966144562},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3467000126838684},{"id":"https://openalex.org/C166693061","wikidata":"https://www.wikidata.org/wiki/Q5462119","display_name":"Flow velocity","level":3,"score":0.31790000200271606},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.3127000033855438},{"id":"https://openalex.org/C65185188","wikidata":"https://www.wikidata.org/wiki/Q107775","display_name":"Streak","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C38569962","wikidata":"https://www.wikidata.org/wiki/Q2905000","display_name":"Total air temperature","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.271699994802475},{"id":"https://openalex.org/C205904022","wikidata":"https://www.wikidata.org/wiki/Q6803620","display_name":"Mean flow","level":3,"score":0.2581999897956848},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2574000060558319}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.28151","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28151","pdf_url":"https://arxiv.org/pdf/2609.28151","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.28151","doi":"https://doi.org/10.48550/arxiv.2609.28151","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.28151","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.28151","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28151","pdf_url":"https://arxiv.org/pdf/2609.28151","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214244192.pdf","grobid_xml":"https://content.openalex.org/works/W7214244192.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3120935569","https://openalex.org/W4410266119","https://openalex.org/W7127938522","https://openalex.org/W2317794324","https://openalex.org/W7168143818","https://openalex.org/W7162291972","https://openalex.org/W2104621132","https://openalex.org/W4376275062","https://openalex.org/W3159161508","https://openalex.org/W4309287198"],"abstract_inverted_index":{"Finite":[0],"corner":[1,20,41,216],"curvature":[2],"is":[3],"commonly":[4],"omitted":[5],"when":[6],"rarefied":[7],"cavity":[8,24],"flows":[9],"are":[10],"represented":[11],"using":[12],"idealised":[13],"geometries.":[14],"This":[15],"study":[16],"examines":[17],"how":[18],"downstream":[19,94],"rounding":[21,87,145],"affects":[22],"lid-driven":[23],"flow":[25,96,207],"over":[26],"0.5":[27,154],"$\\le$":[28,30],"Kn":[29,152,161],"5.":[31,165],"Direct":[32],"simulation":[33],"Monte":[34],"Carlo":[35],"calculations":[36],"were":[37,76],"performed":[38],"for":[39],"normalised":[40,121],"radii":[42],"of":[43,92,132],"Rc":[44],"=":[45,153,162],"0,":[46],"0.10":[47],"and":[48,58,73,111,155,164,209],"0.20.":[49],"The":[50,105,119,135,187],"model":[51],"was":[52],"assessed":[53],"through":[54],"published":[55],"benchmark":[56],"data":[57],"a":[59,129,139],"local":[60,90,206],"grid-sensitivity":[61],"test.":[62],"Velocity":[63],"fields,":[64],"centreline":[65,113],"profiles,":[66],"area-averaged":[67,120],"speed,":[68],"translational":[69],"temperature,":[70],"number":[71],"density":[72,170],"temperature":[74,149],"anisotropy":[75,180],"analysed.":[77],"A":[78],"single":[79],"primary":[80],"vortex":[81],"persisted":[82],"across":[83],"all":[84,125],"cases.":[85],"Corner":[86,144],"modified":[88],"the":[89,93,102,109,147,168,177,191,195,200],"turning":[91],"return":[95],"but":[97,157,203],"caused":[98],"little":[99],"change":[100,131],"in":[101,124,167],"wider":[103],"circulation.":[104],"root-mean-square":[106],"differences":[107],"between":[108],"rounded":[110,126],"sharp-cornered":[112],"velocity":[114,197],"profiles":[115],"remained":[116,172],"below":[117],"0.007.":[118],"speed":[122],"increased":[123,158],"configurations,":[127],"with":[128,214],"maximum":[130],"approximately":[133,174],"2.5%.":[134],"thermodynamic":[136,211],"response":[137],"showed":[138],"stronger":[140],"dependence":[141],"on":[142],"rarefaction.":[143],"reduced":[146],"mean":[148,169,178],"non-uniformity":[150],"at":[151,160],"1,":[156],"it":[159],"2":[163],"Changes":[166],"deviation":[171],"within":[173],"1.3%,":[175],"while":[176],"translational-temperature":[179],"varied":[181],"from":[182],"about":[183],"-3%":[184],"to":[185],"2.4%.":[186],"results":[188],"show":[189],"that":[190],"sharp-corner":[192],"approximation":[193],"captures":[194],"global":[196],"structure":[198],"under":[199],"conditions":[201],"studied,":[202],"can":[204],"omit":[205],"changes":[208],"small":[210],"responses":[212],"associated":[213],"finite":[215],"curvature.":[217]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-25T00:00:00"}
