{"id":"https://openalex.org/W7224675367","doi":"https://doi.org/10.1017/jfm.2026.12215","title":"Bifurcation of laterally unconstrained flexible filaments in an inclined flow","display_name":"Bifurcation of laterally unconstrained flexible filaments in an inclined flow","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224675367","doi":"https://doi.org/10.1017/jfm.2026.12215"},"language":"en","primary_location":{"id":"doi:10.1017/jfm.2026.12215","doi":"https://doi.org/10.1017/jfm.2026.12215","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jfm.2026.12215","pdf_url":null,"source":{"id":"https://openalex.org/S152000018","display_name":"Journal of Fluid Mechanics","issn_l":"0022-1120","issn":["0022-1120","1469-7645","1750-6859"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Journal of Fluid Mechanics","raw_type":"journal-article"},"volume":null,"type":"article","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/A5019381753","display_name":"Kui Liu","orcid":"https://orcid.org/0000-0001-9897-6375","observed_orcids":["https://orcid.org/0000-0001-9897-6375"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kui Liu","raw_affiliation_strings":["Nanjing University of Science and Technology","University of Science and Technology of China"],"raw_orcid":"https://orcid.org/0000-0001-9897-6375","affiliations":[{"raw_affiliation_string":"Nanjing University of Science and Technology","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101508566","display_name":"MengFan Xu","orcid":"https://orcid.org/0000-0001-6901-2278","observed_orcids":["https://orcid.org/0000-0001-6901-2278"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng-Fan Xu","raw_affiliation_strings":["Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0001-6901-2278","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004109153","display_name":"An\u2010Kang Gao","orcid":"https://orcid.org/0000-0002-9805-1388","observed_orcids":["https://orcid.org/0000-0002-9805-1388"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"An-Kang Gao","raw_affiliation_strings":["University of Science and Technology of China"],"raw_orcid":"https://orcid.org/0000-0002-9805-1388","affiliations":[{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017366829","display_name":"Xi\u2010Yun Lu","orcid":"https://orcid.org/0000-0002-0737-6460","observed_orcids":["https://orcid.org/0000-0002-0737-6460"]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xi-Yun Lu","raw_affiliation_strings":["University of Science and Technology of China"],"raw_orcid":"https://orcid.org/0000-0002-0737-6460","affiliations":[{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017366829","https://openalex.org/A5019381753"],"corresponding_institution_ids":["https://openalex.org/I126520041","https://openalex.org/I36399199"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.80632659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1046","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.5946999788284302,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.5946999788284302,"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/T11170","display_name":"Biomimetic flight and propulsion mechanisms","score":0.1720000058412552,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T11486","display_name":"Micro and Nano Robotics","score":0.06800000369548798,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/flexible-filaments","display_name":"flexible filaments","score":0.9879999756813049},{"id":"https://openalex.org/keywords/inclined-plane-flow","display_name":"inclined plane flow","score":0.5709999799728394},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"pitchfork bifurcation","score":0.8149999976158142},{"id":"https://openalex.org/keywords/self-propulsion","display_name":"self-propulsion","score":0.628000020980835},{"id":"https://openalex.org/keywords/droplet-dynamics","display_name":"droplet dynamics","score":0.5180000066757202},{"id":"https://openalex.org/keywords/crosswind","display_name":"crosswind","score":0.6729999780654907},{"id":"https://openalex.org/keywords/bending-stiffness","display_name":"bending stiffness","score":0.6620000004768372},{"id":"https://openalex.org/keywords/reynolds-number-effects","display_name":"Reynolds number effects","score":0.7689999938011169},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.6079999804496765}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6916000247001648},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6258000135421753},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.6132000088691711},{"id":"https://openalex.org/C48939323","wikidata":"https://www.wikidata.org/wiki/Q294879","display_name":"Wake","level":2,"score":0.5527999997138977},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5415999889373779},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5400999784469604},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.5167999863624573},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.47440001368522644},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.46050000190734863},{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.43790000677108765},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.4368000030517578},{"id":"https://openalex.org/C14228908","wikidata":"https://www.wikidata.org/wiki/Q2920483","display_name":"Protein filament","level":2,"score":0.39559999108314514},{"id":"https://openalex.org/C79420006","wikidata":"https://www.wikidata.org/wiki/Q533668","display_name":"Thrust","level":2,"score":0.3653999865055084},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.365200012922287},{"id":"https://openalex.org/C131043120","wikidata":"https://www.wikidata.org/wiki/Q1543991","display_name":"Potential flow","level":2,"score":0.3447999954223633},{"id":"https://openalex.org/C128172907","wikidata":"https://www.wikidata.org/wiki/Q4887116","display_name":"Bending stiffness","level":3,"score":0.337799996137619},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.33500000834465027},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.321399986743927},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C72117827","wikidata":"https://www.wikidata.org/wiki/Q1778961","display_name":"Drag coefficient","level":3,"score":0.30390000343322754},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.2992999851703644},{"id":"https://openalex.org/C2780444116","wikidata":"https://www.wikidata.org/wiki/Q6057443","display_name":"Flapping","level":3,"score":0.29829999804496765},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.2874000072479248},{"id":"https://openalex.org/C121704545","wikidata":"https://www.wikidata.org/wiki/Q11425899","display_name":"Immersed boundary method","level":3,"score":0.27709999680519104},{"id":"https://openalex.org/C143683900","wikidata":"https://www.wikidata.org/wiki/Q2132296","display_name":"Supercritical flow","level":3,"score":0.27219998836517334},{"id":"https://openalex.org/C180925781","wikidata":"https://www.wikidata.org/wiki/Q514096","display_name":"Open-channel flow","level":3,"score":0.2703999876976013},{"id":"https://openalex.org/C118419359","wikidata":"https://www.wikidata.org/wiki/Q682585","display_name":"Supercritical fluid","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C197482802","wikidata":"https://www.wikidata.org/wiki/Q3523932","display_name":"Choked flow","level":3,"score":0.26820001006126404},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/jfm.2026.12215","doi":"https://doi.org/10.1017/jfm.2026.12215","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jfm.2026.12215","pdf_url":null,"source":{"id":"https://openalex.org/S152000018","display_name":"Journal of Fluid Mechanics","issn_l":"0022-1120","issn":["0022-1120","1469-7645","1750-6859"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Journal of Fluid Mechanics","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":73,"referenced_works":["https://openalex.org/W1583315688","https://openalex.org/W1976971665","https://openalex.org/W1980974294","https://openalex.org/W1997172832","https://openalex.org/W2007345041","https://openalex.org/W2007787336","https://openalex.org/W2012367849","https://openalex.org/W2030614829","https://openalex.org/W2041301661","https://openalex.org/W2043707975","https://openalex.org/W2050439468","https://openalex.org/W2054361475","https://openalex.org/W2059069846","https://openalex.org/W2063473851","https://openalex.org/W2063937101","https://openalex.org/W2071277522","https://openalex.org/W2073843707","https://openalex.org/W2084131634","https://openalex.org/W2092284897","https://openalex.org/W2099287998","https://openalex.org/W2108315243","https://openalex.org/W2117242079","https://openalex.org/W2117447570","https://openalex.org/W2128884148","https://openalex.org/W2129985612","https://openalex.org/W2130821217","https://openalex.org/W2135352189","https://openalex.org/W2136449642","https://openalex.org/W2138578406","https://openalex.org/W2145851836","https://openalex.org/W2150406592","https://openalex.org/W2155765895","https://openalex.org/W2158843484","https://openalex.org/W2170013436","https://openalex.org/W2476412039","https://openalex.org/W2511473109","https://openalex.org/W2774996425","https://openalex.org/W2779398805","https://openalex.org/W2809892590","https://openalex.org/W2883538420","https://openalex.org/W2884158876","https://openalex.org/W2892098844","https://openalex.org/W2955354416","https://openalex.org/W2968330080","https://openalex.org/W2971960337","https://openalex.org/W3003061452","https://openalex.org/W3004697436","https://openalex.org/W3025901832","https://openalex.org/W3100570961","https://openalex.org/W3103064606","https://openalex.org/W3108632434","https://openalex.org/W3117683807","https://openalex.org/W3132363523","https://openalex.org/W3137844589","https://openalex.org/W3192316311","https://openalex.org/W4210827359","https://openalex.org/W4224640186","https://openalex.org/W4224923194","https://openalex.org/W4300059230","https://openalex.org/W4353076939","https://openalex.org/W4385247253","https://openalex.org/W4385813590","https://openalex.org/W4386950462","https://openalex.org/W4393055682","https://openalex.org/W4401592320","https://openalex.org/W4404106679","https://openalex.org/W4405580305","https://openalex.org/W4411081321","https://openalex.org/W4413168982","https://openalex.org/W4414403094","https://openalex.org/W4416258458","https://openalex.org/W7124278105","https://openalex.org/W7162628237"],"related_works":["https://openalex.org/W2013791223","https://openalex.org/W7162628237","https://openalex.org/W1552766471","https://openalex.org/W2035339251","https://openalex.org/W2047353978","https://openalex.org/W2801611821","https://openalex.org/W7171656695","https://openalex.org/W4409341461","https://openalex.org/W4408312707","https://openalex.org/W2902929430"],"abstract_inverted_index":{"The":[0,146],"dynamics":[1,175],"of":[2,20,101,166,176],"laterally":[3,82],"unconstrained":[4],"flexible":[5,177],"filaments":[6,23],"in":[7,24,31,179],"an":[8],"inclined":[9],"uniform":[10,180],"flow":[11],"is":[12,28],"investigated":[13],"numerically,":[14],"inspired":[15],"by":[16,94,153],"the":[17,37,53,62,78,84,87,111,120,124,135,139,163,167,174],"self-propelled":[18],"behaviour":[19],"droplets":[21],"and":[22,58,67,74,89,114,123],"a":[25,47,99,154],"crosswind.":[26],"It":[27],"found":[29],"that":[30,109,134],"addition":[32],"to":[33,162],"conventional":[34],"downwind":[35,90],"drifting,":[36],"filament":[38,63],"can":[39,150],"also":[40],"undergo":[41],"counterintuitive":[42],"upwind":[43,88],"motion,":[44],"arising":[45],"from":[46,119],"supercritical":[48],"pitchfork":[49],"bifurcation.":[50],"Depending":[51],"on":[52],"Reynolds":[54],"number,":[55],"bending":[56],"stiffness":[57],"inflow":[59],"inclination":[60],"angle,":[61],"exhibits":[64],"multiple":[65],"wake":[66],"motion":[68],"states,":[69],"including":[70],"static,":[71],"quasi-static,":[72],"vibrational":[73],"translational":[75],"modes.":[76],"In":[77],"reference":[79],"frame":[80],"translating":[81],"with":[83],"incoming":[85],"flow,":[86],"drifting":[91],"states":[92,141,165],"induced":[93],"different":[95],"initial":[96],"perturbations":[97],"form":[98],"pair":[100],"dynamically":[102],"equivalent,":[103],"symmetry-related":[104],"branches.":[105],"Force":[106],"decomposition":[107],"shows":[108],"both":[110],"streamwise":[112],"drag":[113],"lateral":[115],"thrust":[116],"predominantly":[117],"originate":[118],"normal":[121],"force,":[122],"corresponding":[125],"scaling":[126],"relations":[127],"are":[128],"identified.":[129],"Stability":[130],"analysis":[131],"further":[132],"reveals":[133],"hydrodynamic":[136,156],"forces":[137],"near":[138],"equilibrium":[140],"behave":[142],"as":[143],"restoring":[144],"forces.":[145],"resulting":[147],"stable":[148,164],"equilibria":[149],"be":[151],"characterised":[152],"generalised":[155],"potential,":[157],"whose":[158],"potential":[159],"wells":[160],"correspond":[161],"system.":[168],"These":[169],"findings":[170],"provide":[171],"insight":[172],"into":[173],"structures":[178],"flow.":[181]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-10-30T00:00:00"}