{"id":"https://openalex.org/W4220950728","doi":"https://doi.org/10.1137/21m1430935","title":"Dynamics of Small Particle Inertial Migration in Curved Square Ducts","display_name":"Dynamics of Small Particle Inertial Migration in Curved Square Ducts","publication_year":2022,"publication_date":"2022-03-01","ids":{"openalex":"https://openalex.org/W4220950728","doi":"https://doi.org/10.1137/21m1430935"},"language":"en","primary_location":{"id":"doi:10.1137/21m1430935","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1430935","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","raw_type":"journal-article"},"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/A5034692553","display_name":"Kyung Su Ha","orcid":"https://orcid.org/0000-0003-4142-5286"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kyung Ha","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, CA USA"],"raw_orcid":"https://orcid.org/0000-0003-4142-5286","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082473393","display_name":"Brendan Harding","orcid":"https://orcid.org/0000-0002-6755-9998"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Brendan Harding","raw_affiliation_strings":["School of Mathematics and Statistics, Victoria University of Wellington, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Victoria University of Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090707978","display_name":"Andrea L. Bertozzi","orcid":"https://orcid.org/0000-0003-0396-7391"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrea L. Bertozzi","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA USA","Department of Mathematics, University of California, Los Angeles, CA USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015754334","display_name":"Yvonne M. Stokes","orcid":"https://orcid.org/0000-0003-0027-6077"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yvonne M. Stokes","raw_affiliation_strings":["School of Mathematical Sciences, University of Adelaide, South Australia, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Adelaide, South Australia, Australia","institution_ids":["https://openalex.org/I5681781"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034692553"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":0.7358,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.64656907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"21","issue":"1","first_page":"714","last_page":"734"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11255","display_name":"Microfluidic and Bio-sensing Technologies","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11255","display_name":"Microfluidic and Bio-sensing Technologies","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12776","display_name":"Electrohydrodynamics and Fluid Dynamics","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/mechanics","display_name":"Mechanics","score":0.6539243459701538},{"id":"https://openalex.org/keywords/drag","display_name":"Drag","score":0.6009149551391602},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5716750621795654},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5569531321525574},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.48089006543159485},{"id":"https://openalex.org/keywords/duct","display_name":"Duct (anatomy)","score":0.4733840525150299},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4340533912181854},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.4156056046485901},{"id":"https://openalex.org/keywords/stokes-number","display_name":"Stokes number","score":0.4126429557800293},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.22129809856414795},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.19802039861679077}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6539243459701538},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.6009149551391602},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5716750621795654},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5569531321525574},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.48089006543159485},{"id":"https://openalex.org/C2781212128","wikidata":"https://www.wikidata.org/wiki/Q2256181","display_name":"Duct (anatomy)","level":2,"score":0.4733840525150299},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4340533912181854},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.4156056046485901},{"id":"https://openalex.org/C24692054","wikidata":"https://www.wikidata.org/wiki/Q1545546","display_name":"Stokes number","level":4,"score":0.4126429557800293},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.22129809856414795},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.19802039861679077},{"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1430935","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1430935","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt8f5246bz","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/8f5246bz","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Dynamical Systems, vol 21, iss 1","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[{"id":"https://openalex.org/G1656818501","display_name":null,"funder_award_id":"DP160102021","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G4430481679","display_name":null,"funder_award_id":"FT160100108","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G6876044047","display_name":null,"funder_award_id":"510776","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G949836221","display_name":null,"funder_award_id":"DP200100834","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320967","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041"},{"id":"https://openalex.org/F4320332502","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1970724783","https://openalex.org/W2043634841","https://openalex.org/W2047300025","https://openalex.org/W2048597124","https://openalex.org/W2066149364","https://openalex.org/W2082956677","https://openalex.org/W2097950721","https://openalex.org/W2113430850","https://openalex.org/W2154833576","https://openalex.org/W2156368422","https://openalex.org/W2207498669","https://openalex.org/W2624103080","https://openalex.org/W2889113648","https://openalex.org/W2964279795","https://openalex.org/W2966226803","https://openalex.org/W3083740909","https://openalex.org/W3098527704","https://openalex.org/W3099552511","https://openalex.org/W4253260323"],"related_works":["https://openalex.org/W3019598374","https://openalex.org/W189741","https://openalex.org/W4389482429","https://openalex.org/W2242995739","https://openalex.org/W1491894219","https://openalex.org/W2037616569","https://openalex.org/W2069582719","https://openalex.org/W4280534975","https://openalex.org/W2115304080","https://openalex.org/W2004350370"],"abstract_inverted_index":{"Microchannels":[0],"are":[1],"well":[2],"known":[3],"in":[4,19,26,47,83,142,159],"microfluidic":[5],"applications":[6],"for":[7,132,194,224,262],"the":[8,17,20,33,68,71,75,80,84,90,93,102,106,117,121,133,140,143,146,162,168,206,209,216,242,252,258],"control":[9],"and":[10,14,77,164,212,244],"separation":[11],"of":[12,62,89,105,120,139,145,151,161,167,180,192,208,218],"microdroplets":[13],"cells.":[15],"Often":[16],"objects":[18],"flow":[21,36,48,73],"experience":[22],"inertial":[23,63],"effects,":[24],"resulting":[25],"dynamics":[27],"that":[28,100,126,136,175,205],"is":[29,128,188],"a":[30,50,54,60,97,112,129,200,225],"departure":[31],"from":[32,70,79],"underlying":[34],"channel":[35],"dynamics.":[37],"This":[38],"paper":[39],"considers":[40],"small":[41,171],"neutrally":[42],"buoyant":[43],"spherical":[44],"particles":[45,176,197,237,250],"suspended":[46],"through":[49],"curved":[51],"duct":[52,229,259],"having":[53],"square":[55],"cross-section.":[56,94],"The":[57],"particle":[58,91,141,227,263],"experiences":[59],"combination":[61],"lift":[64],"force":[65,107],"induced":[66],"by":[67,238],"disturbance":[69],"primary":[72],"along":[74],"duct,":[76],"drag":[78],"secondary":[81],"vortices":[82],"cross-section,":[85],"which":[86,195,256],"drive":[87],"migration":[88],"within":[92],"We":[95,124,240],"construct":[96],"simplified":[98],"model":[99],"preserves":[101],"core":[103],"topology":[104],"field":[108],"yet":[109],"depends":[110],"on":[111],"single":[113,201],"parameter":[114,131],"$\\kappa$,":[115,219],"quantifying":[116],"relative":[118],"strength":[119],"two":[122],"forces.":[123],"show":[125],"$\\kappa$":[127,152,172,193],"bifurcation":[130],"dynamical":[134],"system":[135],"describes":[137],"motion":[138],"cross-section":[144],"duct.":[147,169],"At":[148,170],"large":[149],"values":[150],"there":[153,187],"exists":[154],"an":[155,189],"attracting":[156],"limit":[157,210],"cycle":[158],"each":[160],"upper":[163],"lower":[165],"halves":[166],"we":[173],"find":[174],"migrate":[177,198],"to":[178,199,235,248],"one":[179],"four":[181],"stable":[182,202,254],"foci.":[183],"Between":[184],"these":[185],"extremes,":[186],"intermediate":[190],"range":[191],"all":[196],"focus.":[203],"Noting":[204],"positions":[207],"cycles":[211],"foci":[213],"vary":[214],"with":[215],"value":[217],"this":[220],"behavior":[221],"indicates":[222],"that,":[223],"suitable":[226],"mixture,":[228],"bend":[230],"radius":[231],"might":[232],"be":[233],"chosen":[234],"segregate":[236],"size.":[239],"evaluate":[241],"time":[243],"axial":[245],"distance":[246],"required":[247,261],"focus":[249],"near":[251],"unique":[253],"node,":[255],"determines":[257],"length":[260],"segregation.":[264]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}