{"id":"https://openalex.org/W7214779193","doi":"https://doi.org/10.48550/arxiv.2609.33624","title":"Analytical Criterion for the Turbulent-to-Laminar Transition in Channel Flow","display_name":"Analytical Criterion for the Turbulent-to-Laminar Transition in Channel Flow","publication_year":2026,"publication_date":"2026-09-27","ids":{"openalex":"https://openalex.org/W7214779193","doi":"https://doi.org/10.48550/arxiv.2609.33624"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.33624","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33624","pdf_url":"https://arxiv.org/pdf/2609.33624","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/2609.33624","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026041898","display_name":"Alex Fedoseyev","orcid":"https://orcid.org/0000-0002-5107-8532","observed_orcids":["https://orcid.org/0000-0002-5107-8532"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fedoseyev, Alex","raw_affiliation_strings":["Ultra Quantum Inc , Huntsville , Alabama , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ultra Quantum Inc , Huntsville , Alabama , USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5026041898"],"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9994999766349792,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T13951","display_name":"Fluid dynamics and aerodynamics studies","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/channel-flow","display_name":"channel flow","score":0.9629999995231628},{"id":"https://openalex.org/keywords/critical-reynolds-number","display_name":"critical Reynolds number","score":0.9120000004768372},{"id":"https://openalex.org/keywords/viscous-dissipation","display_name":"viscous dissipation","score":0.7789999842643738},{"id":"https://openalex.org/keywords/streamwise-velocity","display_name":"streamwise velocity","score":0.550000011920929},{"id":"https://openalex.org/keywords/transition-threshold","display_name":"transition threshold","score":0.5059999823570251}],"concepts":[{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.8187999725341797},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.7767000198364258},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.661300003528595},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5863999724388123},{"id":"https://openalex.org/C180925781","wikidata":"https://www.wikidata.org/wiki/Q514096","display_name":"Open-channel flow","level":3,"score":0.5361999869346619},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5220999717712402},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4440999925136566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44290000200271606},{"id":"https://openalex.org/C152846280","wikidata":"https://www.wikidata.org/wiki/Q17105530","display_name":"Reynolds stress equation model","level":5,"score":0.4399000108242035},{"id":"https://openalex.org/C204561356","wikidata":"https://www.wikidata.org/wiki/Q1148018","display_name":"Pipe flow","level":3,"score":0.42750000953674316},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41929998993873596},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3896999955177307},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3684000074863434},{"id":"https://openalex.org/C15476950","wikidata":"https://www.wikidata.org/wiki/Q7854776","display_name":"Turbulence kinetic energy","level":3,"score":0.3424000144004822},{"id":"https://openalex.org/C179407788","wikidata":"https://www.wikidata.org/wiki/Q1852720","display_name":"Magnetic Reynolds number","level":4,"score":0.34040001034736633},{"id":"https://openalex.org/C45502583","wikidata":"https://www.wikidata.org/wiki/Q5701708","display_name":"Hele-Shaw flow","level":4,"score":0.3280999958515167},{"id":"https://openalex.org/C63931686","wikidata":"https://www.wikidata.org/wiki/Q7319682","display_name":"Reynolds decomposition","level":5,"score":0.3221000134944916},{"id":"https://openalex.org/C147196274","wikidata":"https://www.wikidata.org/wiki/Q7319685","display_name":"Reynolds stress","level":3,"score":0.3167000114917755},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C32526432","wikidata":"https://www.wikidata.org/wiki/Q1536235","display_name":"Reynolds-averaged Navier\u2013Stokes equations","level":3,"score":0.2948000133037567},{"id":"https://openalex.org/C150711758","wikidata":"https://www.wikidata.org/wiki/Q17148242","display_name":"K-epsilon turbulence model","level":3,"score":0.28369998931884766},{"id":"https://openalex.org/C77653498","wikidata":"https://www.wikidata.org/wiki/Q6481920","display_name":"Laminar sublayer","level":4,"score":0.2678000032901764},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.25920000672340393},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.2538999915122986},{"id":"https://openalex.org/C532534053","wikidata":"https://www.wikidata.org/wiki/Q2035746","display_name":"Ch\u00e9zy formula","level":4,"score":0.2535000145435333},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.33624","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33624","pdf_url":"https://arxiv.org/pdf/2609.33624","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.2609.33624","doi":"https://doi.org/10.48550/arxiv.2609.33624","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.33624","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.33624","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33624","pdf_url":"https://arxiv.org/pdf/2609.33624","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214779193.pdf","grobid_xml":"https://content.openalex.org/works/W7214779193.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2143067558","https://openalex.org/W4386618035","https://openalex.org/W7202295446"],"related_works":["https://openalex.org/W2326412908","https://openalex.org/W1558285601","https://openalex.org/W4299720292","https://openalex.org/W2155222638","https://openalex.org/W605479233","https://openalex.org/W4319588581","https://openalex.org/W2313960727","https://openalex.org/W3012846315","https://openalex.org/W2034030723","https://openalex.org/W4416792846"],"abstract_inverted_index":{"An":[0],"analytical":[1,25],"criterion":[2,104,135,146],"for":[3],"the":[4,15,28,45,56,66,82,89,93,99,106,109,113,121,126,130,144,154,157,163,183,201,204],"disappearance":[5,107],"of":[6,27,34,58,61,92,108,129,179,182,185,203],"turbulent":[7,41,67,94,110,205],"flow":[8,187],"in":[9,188],"a":[10,32,35,39,134,138,148,198,208],"channel":[11,189],"is":[12,53,74,81,88,98,116,168,174],"developed":[13],"within":[14],"Alexeev":[16],"hydrodynamic":[17],"equations":[18],"(AHE).":[19],"The":[20,49,69,103,171,191],"analysis":[21,192],"builds":[22],"on":[23,137,153],"an":[24],"representation":[26],"streamwise":[29],"velocity":[30,47],"as":[31,77,112],"superposition":[33],"parabolic":[36],"component":[37,42],"and":[38,96,118,181],"nonlinear":[40],"coupled":[43],"to":[44],"transverse":[46],"field.":[48],"critical":[50,71,141,165,209],"Reynolds":[51,72,114,142,166,210],"number":[52,73,115,167],"obtained":[54],"from":[55],"balance":[57],"viscous":[59,195],"dissipation":[60,196],"kinetic":[62],"energy":[63],"associated":[64],"with":[65,176],"component.":[68],"resulting":[70],"expressed":[75],"analytically":[76],"\\(Re_c=f(\u03b4,\u03b3,n)\\),":[78],"where":[79],"\\(\u03b4\\)":[80],"Reynolds-independent":[83],"AHE":[84,145],"similarity":[85],"parameter,":[86],"\\(\u03b3\\)":[87],"weighting":[90],"coefficient":[91],"component,":[95],"\\(n\\)":[97],"transverse-velocity":[100],"mode":[101],"number.":[102],"describes":[105],"solution":[111,206],"decreased":[117],"therefore":[119],"addresses":[120],"turbulent-to-laminar":[122],"transition":[123,149,180],"rather":[124],"than":[125],"linear":[127],"instability":[128],"laminar":[131,186],"solution.":[132],"Unlike":[133],"based":[136],"single":[139],"universal":[140],"number,":[143],"predicts":[147],"threshold":[150,173],"that":[151,194],"depends":[152],"parameters":[155],"characterizing":[156],"flow.":[158],"For":[159],"representative":[160],"channel-flow":[161],"parameters,":[162],"predicted":[164,172],"approximately":[169],"\\(Re_c=1000\\text{--}1200\\).":[170],"compared":[175],"experimental":[177],"observations":[178],"persistence":[184,202],"flows.":[190],"suggests":[193],"provides":[197],"mechanism":[199],"limiting":[200],"below":[207],"number.%":[211]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}