{"id":"https://openalex.org/W7225312867","doi":"https://doi.org/10.5281/zenodo.23967520","title":"Exact discharge matching can conceal velocity errors in regularized Herschel\u2013Bulkley duct flow","display_name":"Exact discharge matching can conceal velocity errors in regularized Herschel\u2013Bulkley duct flow","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225312867","doi":"https://doi.org/10.5281/zenodo.23967520"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23967520","doi":"https://doi.org/10.5281/zenodo.23967520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23967520","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23967520","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160795287","display_name":"Prof. Dr. Ayad K. H. Al-Khafaji","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Al-Khafaji, Prof. Dr. Ayad K. H.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5160796896","display_name":"Alkhafaji","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alkhafaji","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5160793876","display_name":"Prof. Dr. Ayad K. H. Alkhafaji","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alkhafaji, Prof. Dr. Ayad K. H.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical 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":0.0007999999797903001,"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/T11721","display_name":"Blood properties and coagulation","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2720","display_name":"Hematology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/herschel-bulkley-fluid","display_name":"Herschel-Bulkley fluid","score":0.8899999856948853},{"id":"https://openalex.org/keywords/yield-stress-fluids","display_name":"yield stress fluids","score":0.7379999756813049},{"id":"https://openalex.org/keywords/pipe-flow","display_name":"pipe flow","score":0.7329999804496765},{"id":"https://openalex.org/keywords/plane-channel-flow","display_name":"plane channel flow","score":0.9020000100135803},{"id":"https://openalex.org/keywords/shear-thickening-fluids","display_name":"shear-thickening fluids","score":0.7089999914169312},{"id":"https://openalex.org/keywords/bingham-fluid","display_name":"Bingham fluid","score":0.6840000152587891},{"id":"https://openalex.org/keywords/pressure-transmission","display_name":"pressure transmission","score":0.4830000102519989},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.36800000071525574},{"id":"https://openalex.org/keywords/non-newtonian-fluid-mechanics","display_name":"non-Newtonian fluid mechanics","score":0.5270000100135803}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6241000294685364},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5925999879837036},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4699999988079071},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4629000127315521},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4523000121116638},{"id":"https://openalex.org/C114088122","wikidata":"https://www.wikidata.org/wiki/Q1261069","display_name":"Pressure drop","level":2,"score":0.4406999945640564},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.4259999990463257},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42080000042915344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3774000108242035},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C204561356","wikidata":"https://www.wikidata.org/wiki/Q1148018","display_name":"Pipe flow","level":3,"score":0.323199987411499},{"id":"https://openalex.org/C2781212128","wikidata":"https://www.wikidata.org/wiki/Q2256181","display_name":"Duct (anatomy)","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C143575951","wikidata":"https://www.wikidata.org/wiki/Q646627","display_name":"Strouhal number","level":4,"score":0.3167000114917755},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3100999891757965},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27079999446868896},{"id":"https://openalex.org/C166693061","wikidata":"https://www.wikidata.org/wiki/Q5462119","display_name":"Flow velocity","level":3,"score":0.26739999651908875},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2542000114917755},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23967520","doi":"https://doi.org/10.5281/zenodo.23967520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23967520","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"},{"id":"doi:10.5281/zenodo.23967521","doi":"https://doi.org/10.5281/zenodo.23967521","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23967521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23967520","doi":"https://doi.org/10.5281/zenodo.23967520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23967520","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4413935698","https://openalex.org/W2075916499","https://openalex.org/W2091565123","https://openalex.org/W2096170930","https://openalex.org/W2296935400","https://openalex.org/W2237880326","https://openalex.org/W3093247088","https://openalex.org/W3213442729","https://openalex.org/W2884074677","https://openalex.org/W7154103458"],"abstract_inverted_index":{"Abstract":[0],"A":[1,97,141],"regularized":[2],"yield-stress":[3],"model":[4],"can":[5],"reproduce":[6],"an":[7],"ideal":[8,62,194],"discharge":[9,63,102,115,174],"through":[10],"compensation":[11,18],"between":[12],"constitutive":[13],"approximations.":[14],"We":[15],"characterize":[16],"this":[17,91],"at":[19,133],"finite":[20,32],"parameters":[21,167],"for":[22,93],"fully":[23],"developed":[24],"Herschel\u2013Bulkley":[25],"pipe":[26,142],"and":[27,45,74,85,107,154],"plane-channel":[28],"flow.":[29],"For":[30],"every":[31],"exponential":[33,188],"regularization":[34,166],"parameter,":[35],"positive":[36],"subcritical":[37],"yield":[38],"ratio":[39],"0":[40],"<":[41,43],"Y":[42,148],"1,":[44,51],"shear":[46],"thickening":[47],"index":[48],"n":[49,145],">":[50],"there":[52],"is":[53],"a":[54,123,160],"unique":[55],"shear-rate":[56],"smoothing":[57,155],"parameter":[58],"that":[59,66],"matches":[60,121],"the":[61,68,75,82,94,111,114,128,182,193],"exactly.":[64],"At":[65],"match":[67],"centerline":[69,162],"velocity":[70,76],"remains":[71],"too":[72],"large,":[73],"error":[77],"changes":[78],"sign":[79],"once":[80],"inside":[81],"section.":[83],"Shear-thinning":[84],"Bingham":[86],"indices":[87],"do":[88,139,207],"not":[89,208],"admit":[90],"cancellation":[92],"stated":[95],"law.":[96],"deterministic":[98],"matrix":[99],"of":[100,137],"96":[101],"matches,":[103],"576":[104],"pressure-transfer":[105],"evaluations,":[106],"128":[108],"control":[109],"tests":[110],"result.":[112],"Despite":[113],"agreement":[116],"to":[117],"numerical":[118],"precision,":[119],"43":[120],"exceed":[122],"1%":[124],"centerline-error":[125],"threshold;":[126],"within":[127],"subset":[129],"with":[130,144,192],"dimensionless":[131],"smoothing,":[132],"most":[134],"0.01,":[135],"6":[136],"58":[138],"so.":[140],"case":[143],"=":[146,149,152],"1.5,":[147],"0.99,":[150],"M":[151],"104,":[153],"E":[156],"\u2243":[157],"0.02522":[158],"has":[159],"14.1%":[161],"error.":[163],"Holding":[164],"dimensional":[165],"fixed":[168],"while":[169],"changing":[170],"pressure":[171,184],"exposes":[172],"additional":[173],"discrepancies.":[175],"The":[176],"previously":[177],"derived":[178],"near-yield":[179],"limit":[180],"explains":[181],"shrinking":[183],"interval":[185],"in":[186,211],"which":[187],"core":[189],"flow":[190],"competes":[191],"yielded":[195],"shell.":[196],"These":[197],"exact-solution":[198],"benchmarks":[199],"test":[200],"verification":[201],"based":[202],"on":[203],"integral":[204],"discharge;":[205],"they":[206],"establish":[209],"accuracy":[210],"general":[212],"geometries":[213],"or":[214],"experimental":[215],"validity.":[216]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}