{"id":"https://openalex.org/W2023074386","doi":"https://doi.org/10.1137/050634268","title":"Draw Resonance Revisited","display_name":"Draw Resonance Revisited","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2023074386","doi":"https://doi.org/10.1137/050634268","mag":"2023074386"},"language":"en","primary_location":{"id":"doi:10.1137/050634268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050634268","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vtechworks.lib.vt.edu/bitstreams/79d37115-5d9c-4dd8-850f-b6950c180576/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050247362","display_name":"Michael Renardy","orcid":"https://orcid.org/0000-0002-5846-6773"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael Renardy","raw_affiliation_strings":["Blacksburg, VA 24061-0123"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Blacksburg, VA 24061-0123","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050247362"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5068,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.77819884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"66","issue":"4","first_page":"1261","last_page":"1269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9843000173568726,"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":0.9843000173568726,"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/T11595","display_name":"Textile materials and evaluations","score":0.9710000157356262,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.9549000263214111,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7063884735107422},{"id":"https://openalex.org/keywords/inertia","display_name":"Inertia","score":0.5832796096801758},{"id":"https://openalex.org/keywords/resonance","display_name":"Resonance (particle physics)","score":0.5387258529663086},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.533555269241333},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5145418047904968},{"id":"https://openalex.org/keywords/newtonian-fluid","display_name":"Newtonian fluid","score":0.49360930919647217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4918785095214844},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4910151958465576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4863772690296173},{"id":"https://openalex.org/keywords/rotary-inertia","display_name":"Rotary inertia","score":0.47607749700546265},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4544331431388855},{"id":"https://openalex.org/keywords/spinning","display_name":"Spinning","score":0.43705326318740845},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3697570264339447},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2609614133834839},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24510988593101501}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7063884735107422},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.5832796096801758},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.5387258529663086},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.533555269241333},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5145418047904968},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.49360930919647217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4918785095214844},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4910151958465576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4863772690296173},{"id":"https://openalex.org/C146996283","wikidata":"https://www.wikidata.org/wiki/Q165618","display_name":"Rotary inertia","level":3,"score":0.47607749700546265},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4544331431388855},{"id":"https://openalex.org/C154815118","wikidata":"https://www.wikidata.org/wiki/Q453762","display_name":"Spinning","level":2,"score":0.43705326318740845},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3697570264339447},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2609614133834839},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24510988593101501},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/050634268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050634268","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/48132","is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/48132","pdf_url":"https://vtechworks.lib.vt.edu/bitstreams/79d37115-5d9c-4dd8-850f-b6950c180576/download","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":"pmh:oai:vtechworks.lib.vt.edu:10919/48134","is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/48134","pdf_url":"https://vtechworks.lib.vt.edu/bitstreams/0a3b71f7-3e2c-4f64-808d-55e591ce2b23/download","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":"pmh:oai:bibcyt.ucla.edu.ve:T070300014221/8","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300014221/8&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/48132","is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/48132","pdf_url":"https://vtechworks.lib.vt.edu/bitstreams/79d37115-5d9c-4dd8-850f-b6950c180576/download","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":[],"awards":[{"id":"https://openalex.org/G5100382944","display_name":"Problems in non-Newtonian and free surface flows","funder_award_id":"0405810","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2023074386.pdf","grobid_xml":"https://content.openalex.org/works/W2023074386.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1516801066","https://openalex.org/W1605713540","https://openalex.org/W1653265391","https://openalex.org/W1972428193","https://openalex.org/W1999899003","https://openalex.org/W2043999119","https://openalex.org/W2120062331","https://openalex.org/W2130110836"],"related_works":["https://openalex.org/W2366076529","https://openalex.org/W2240993206","https://openalex.org/W2050883468","https://openalex.org/W2472634295","https://openalex.org/W2366218604","https://openalex.org/W2075714653","https://openalex.org/W2028021255","https://openalex.org/W2384720467","https://openalex.org/W1517566151","https://openalex.org/W2063954110"],"abstract_inverted_index":{"We":[0,50,78],"consider":[1],"the":[2,20,23,56,61,85,88,96,105,108,115,118,129,132],"problem":[3,97,119],"of":[4,22,47,60,71,107],"isothermal":[5],"fiber":[6],"spinning":[7],"in":[8,45,87,137,141],"a":[9],"Newtonian":[10],"fluid":[11],"with":[12],"no":[13,92],"inertia.":[14],"In":[15],"particular,":[16],"we":[17,64,127],"focus":[18],"on":[19,114],"effect":[21],"downstream":[24],"boundary":[25,82],"condition.":[26],"For":[27],"prescribed":[28,112],"velocity,":[29],"it":[30],"is":[31,90,98,111,120,135],"well":[32],"known":[33,37],"that":[34,67],"an":[35,68],"instability":[36],"as":[38],"draw":[39,43,102,124],"resonance":[40],"occurs":[41],"at":[42,100,122],"ratios":[44],"excess":[46],"about":[48],"20.2.":[49],"shall":[51,65],"revisit":[52],"this":[53],"problem.":[54],"Using":[55],"closed":[57],"form":[58],"solution":[59],"differential":[62],"equation,":[63],"show":[66],"infinite":[69],"family":[70],"eigenvalues":[72,93],"exists":[73],"and":[74,95],"discuss":[75,80,128],"its":[76],"asymptotics.":[77],"also":[79],"other":[81,116],"conditions.":[83],"If":[84,104],"force":[86],"filament":[89],"prescribed,":[91],"exist,":[94],"stable":[99],"all":[101],"ratios.":[103],"area":[106],"cross":[109,142],"section":[110,143],"downstream,":[113],"hand,":[117],"unstable":[121],"any":[123],"ratio.":[125],"Finally,":[126],"stability":[130],"when":[131],"drawing":[133],"speed":[134],"controlled":[136],"response":[138],"to":[139],"changes":[140],"or":[144],"force.":[145]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2016-06-24T00:00:00"}