{"id":"https://openalex.org/W1986280587","doi":"https://doi.org/10.1137/080721674","title":"Viscous Electrified Film Flow over Step Topography","display_name":"Viscous Electrified Film Flow over Step Topography","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1986280587","doi":"https://doi.org/10.1137/080721674","mag":"1986280587"},"language":"en","primary_location":{"id":"doi:10.1137/080721674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080721674","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061394184","display_name":"Dmitri Tseluiko","orcid":"https://orcid.org/0000-0002-7676-7641"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. Tseluiko","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018172663","display_name":"M. G. Blyth","orcid":"https://orcid.org/0000-0002-7480-4138"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. G. Blyth","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022278914","display_name":"Demetrios T. Papageorgiou","orcid":"https://orcid.org/0000-0002-4596-0107"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. T. Papageorgiou","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5120392756","display_name":"Jules Vandenbroeck","orcid":"https://orcid.org/0009-0004-6141-3404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J.-M. Vanden-Broeck","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061394184"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7849,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84047612,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":"3","first_page":"845","last_page":"865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":1.0,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9652000069618225,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9650999903678894,"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/amplitude","display_name":"Amplitude","score":0.7029093503952026},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6173427700996399},{"id":"https://openalex.org/keywords/ridge","display_name":"Ridge","score":0.563704252243042},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5408163666725159},{"id":"https://openalex.org/keywords/free-surface","display_name":"Free surface","score":0.5361058712005615},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5155644416809082},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.4262269139289856},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42127999663352966},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4113348424434662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34178608655929565},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3346501588821411},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3214747905731201},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2909104526042938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2599745988845825},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12895089387893677}],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.7029093503952026},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6173427700996399},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.563704252243042},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5408163666725159},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.5361058712005615},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5155644416809082},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.4262269139289856},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42127999663352966},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4113348424434662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34178608655929565},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3346501588821411},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3214747905731201},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2909104526042938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2599745988845825},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12895089387893677},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080721674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080721674","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:ueaeprints.uea.ac.uk:19826","is_oa":false,"landing_page_url":"https://ueaeprints.uea.ac.uk/id/eprint/19826/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400384","display_name":"UEA Digital Repository (University of East Anglia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1118541","host_organization_name":"University of East Anglia","host_organization_lineage":["https://openalex.org/I1118541"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4000000059604645}],"awards":[{"id":"https://openalex.org/G576357271","display_name":null,"funder_award_id":"EP/D052289/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1598456583","https://openalex.org/W1971723555","https://openalex.org/W1983715981","https://openalex.org/W1995096042","https://openalex.org/W1998136115","https://openalex.org/W2017596211","https://openalex.org/W2024549140","https://openalex.org/W2028295475","https://openalex.org/W2042067892","https://openalex.org/W2042747310","https://openalex.org/W2056826190","https://openalex.org/W2057622389","https://openalex.org/W2059861438","https://openalex.org/W2060652167","https://openalex.org/W2065187427","https://openalex.org/W2074177608","https://openalex.org/W2077975168","https://openalex.org/W2078295030","https://openalex.org/W2081519565","https://openalex.org/W2081540286","https://openalex.org/W2142625792","https://openalex.org/W2147980415","https://openalex.org/W2151262622","https://openalex.org/W2155284712","https://openalex.org/W2158215874"],"related_works":["https://openalex.org/W4242029529","https://openalex.org/W2361826657","https://openalex.org/W2369419402","https://openalex.org/W2966404314","https://openalex.org/W2053668343","https://openalex.org/W1945284306","https://openalex.org/W2393773045","https://openalex.org/W2313753864","https://openalex.org/W2044983584","https://openalex.org/W2090125215"],"abstract_inverted_index":{"The":[0,15,35,84,138],"steady,":[1],"gravity-driven":[2],"flow":[3],"of":[4,32,47,79,89,122,135,140,177,184,203,208,215,223],"a":[5,9,20,41,116,141,185,189,209,229],"liquid":[6],"film":[7,26,96,146,158,164],"over":[8,98],"topographically":[10],"structured":[11],"substrate":[12],"is":[13,17,38,149,195,236],"investigated.":[14],"analysis":[16],"based":[18],"on":[19,29,144,152],"model":[21,82],"nonlinear":[22,81,239],"equation":[23],"for":[24,62,95,130,232,250],"the":[25,30,48,71,80,90,106,110,131,145,153,157,160,163,170,174,178,201,216,221,246],"thickness":[27],"derived":[28],"basis":[31],"long-wave":[33],"asymptotics.":[34],"free-surface":[36],"shape":[37,148],"expanded":[39],"in":[40,45,220,242],"regular":[42],"asymptotic":[43],"expansion":[44],"powers":[46],"topography":[49,253],"amplitude,":[50],"and":[51,67,70,100,119,133,159,192,198],"solutions":[52,78,240],"are":[53,60,73,103,241],"obtained":[54],"up":[55],"to":[56,228],"second":[57],"order.":[58],"Solutions":[59],"constructed":[61],"downward":[63,117],"steps,":[64,66],"upward":[65,124],"rectangular":[68],"trenches,":[69],"results":[72,85],"compared":[74],"favorably":[75],"with":[76,188,212,245],"numerical":[77],"equation.":[83],"indicate":[86],"that":[87,155,200,238],"all":[88],"salient":[91],"features":[92],"previously":[93],"found":[94,237],"flows":[97],"steps":[99],"into":[101],"trenches":[102],"captured":[104],"by":[105],"small-step":[107],"asymptotics,":[108],"including":[109,181],"capillary":[111],"ridge":[112],"formed":[113],"just":[114,206],"above":[115,162],"step":[118,187,210],"oscillations":[120,182,205],"upstream":[121,207],"an":[123,213],"step.":[125],"We":[126],"derive":[127],"analytical":[128],"expressions":[129],"period":[132,191],"amplitude":[134,202],"these":[136],"oscillations.":[137],"effect":[139],"normal":[142],"electric":[143,217],"surface":[147],"also":[150],"investigated":[151],"assumption":[154],"both":[156],"medium":[161],"behave":[165],"as":[166],"perfect":[167,224,233],"dielectrics.":[168,234],"Again,":[169],"small-amplitude":[171,247],"asymptotics":[172],"describe":[173],"essential":[175],"characteristics":[176],"free":[179],"surface,":[180],"downstream":[183],"downwards":[186],"quantifiable":[190],"amplitude.":[193],"It":[194,235],"established":[196],"analytically":[197],"numerically":[199],"interfacial":[204],"decreases":[211],"increase":[214],"field":[218],"strength":[219],"case":[222],"conductors,":[225],"but":[226],"increases":[227],"limiting":[230],"value":[231],"excellent":[243],"agreement":[244],"theory":[248],"even":[249],"relatively":[251],"large":[252],"amplitudes.":[254]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}