{"id":"https://openalex.org/W4387673630","doi":"https://doi.org/10.3390/computation11100205","title":"Time-Dependent Two-Dimensional Model of Overlimiting Mass Transfer in Electromembrane Systems Based on the Nernst\u2013Planck, Displacement Current and Navier\u2013Stokes Equations","display_name":"Time-Dependent Two-Dimensional Model of Overlimiting Mass Transfer in Electromembrane Systems Based on the Nernst\u2013Planck, Displacement Current and Navier\u2013Stokes Equations","publication_year":2023,"publication_date":"2023-10-16","ids":{"openalex":"https://openalex.org/W4387673630","doi":"https://doi.org/10.3390/computation11100205"},"language":"en","primary_location":{"id":"doi:10.3390/computation11100205","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation11100205","pdf_url":"https://www.mdpi.com/2079-3197/11/10/205/pdf?version=1697452772","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/10/205/pdf?version=1697452772","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029344186","display_name":"Aminat Uzdenova","orcid":"https://orcid.org/0000-0001-5951-9876"},"institutions":[{"id":"https://openalex.org/I4210166188","display_name":"Karachaevo-Cherkessk State University","ror":"https://ror.org/05ba5xv93","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210166188"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Aminat Uzdenova","raw_affiliation_strings":["Department of Computer Science and Computational Mathematics, Umar Aliev Karachai-Cherkess State University, Karachaevsk 369200, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5951-9876","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Computational Mathematics, Umar Aliev Karachai-Cherkess State University, Karachaevsk 369200, Russia","institution_ids":["https://openalex.org/I4210166188"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029344186"],"corresponding_institution_ids":["https://openalex.org/I4210166188"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.2146,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.4848977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"10","first_page":"205","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12074","display_name":"Membrane-based Ion Separation Techniques","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/T12074","display_name":"Membrane-based Ion Separation Techniques","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/T10197","display_name":"Membrane Separation Technologies","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10409","display_name":"Fuel Cells and Related Materials","score":0.9983999729156494,"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":0.6915083527565002},{"id":"https://openalex.org/keywords/mass-transfer","display_name":"Mass transfer","score":0.6173598766326904},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5478063821792603},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.4965665936470032},{"id":"https://openalex.org/keywords/current-density","display_name":"Current density","score":0.46102485060691833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42843353748321533},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.42081156373023987},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3674737811088562},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3234376907348633},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.24798175692558289}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6915083527565002},{"id":"https://openalex.org/C51038369","wikidata":"https://www.wikidata.org/wiki/Q909534","display_name":"Mass transfer","level":2,"score":0.6173598766326904},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5478063821792603},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.4965665936470032},{"id":"https://openalex.org/C207740977","wikidata":"https://www.wikidata.org/wiki/Q234072","display_name":"Current density","level":2,"score":0.46102485060691833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42843353748321533},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.42081156373023987},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3674737811088562},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3234376907348633},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.24798175692558289},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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":3,"locations":[{"id":"doi:10.3390/computation11100205","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation11100205","pdf_url":"https://www.mdpi.com/2079-3197/11/10/205/pdf?version=1697452772","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bd6bb2f979ff4f36a9562d48f3494103","is_oa":true,"landing_page_url":"https://doaj.org/article/bd6bb2f979ff4f36a9562d48f3494103","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 10, p 205 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/10/205/","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11100205","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11100205","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation11100205","pdf_url":"https://www.mdpi.com/2079-3197/11/10/205/pdf?version=1697452772","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2226380075","display_name":null,"funder_award_id":"23-29-00534","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387673630.pdf"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W83875254","https://openalex.org/W1533381018","https://openalex.org/W1910538817","https://openalex.org/W1972619854","https://openalex.org/W1974867892","https://openalex.org/W1975627183","https://openalex.org/W1977812936","https://openalex.org/W1980785909","https://openalex.org/W1980986867","https://openalex.org/W1982557809","https://openalex.org/W1984908459","https://openalex.org/W1989974717","https://openalex.org/W1991429698","https://openalex.org/W1995115819","https://openalex.org/W2002899573","https://openalex.org/W2007468742","https://openalex.org/W2007825303","https://openalex.org/W2051516047","https://openalex.org/W2053868076","https://openalex.org/W2055638681","https://openalex.org/W2058376666","https://openalex.org/W2061143165","https://openalex.org/W2061393679","https://openalex.org/W2071528826","https://openalex.org/W2075042902","https://openalex.org/W2081196424","https://openalex.org/W2089820056","https://openalex.org/W2107213224","https://openalex.org/W2132808091","https://openalex.org/W2150679640","https://openalex.org/W2171958864","https://openalex.org/W2284757697","https://openalex.org/W2313903553","https://openalex.org/W2394657121","https://openalex.org/W2471585781","https://openalex.org/W2546683684","https://openalex.org/W2580215649","https://openalex.org/W2765093260","https://openalex.org/W2783331907","https://openalex.org/W2794240835","https://openalex.org/W2891509929","https://openalex.org/W2907964243","https://openalex.org/W2921087801","https://openalex.org/W2946166670","https://openalex.org/W2976021549","https://openalex.org/W3011849478","https://openalex.org/W3016908643","https://openalex.org/W3022273851","https://openalex.org/W3042024604","https://openalex.org/W3042619936","https://openalex.org/W3104237857","https://openalex.org/W3118842238","https://openalex.org/W3138050958","https://openalex.org/W3163812097","https://openalex.org/W3183540185","https://openalex.org/W3211417430","https://openalex.org/W4288886059","https://openalex.org/W4289223622","https://openalex.org/W4308694603","https://openalex.org/W4320478051","https://openalex.org/W4362733548"],"related_works":["https://openalex.org/W628108189","https://openalex.org/W3010921616","https://openalex.org/W2000633040","https://openalex.org/W778382878","https://openalex.org/W4401022467","https://openalex.org/W2006863447","https://openalex.org/W2537886641","https://openalex.org/W2130876290","https://openalex.org/W2084159017","https://openalex.org/W2611979962"],"abstract_inverted_index":{"Electromembrane":[0],"processes":[1,57],"underlie":[2],"the":[3,13,22,27,33,36,52,75,81,93,101,108,116,121,127,132,135,148,154,158,161,165,175,183,191,196,204,208,214,218,227,235,239,243,249,253,258,262],"functioning":[4],"of":[5,15,21,29,35,42,55,64,83,134,137,147,160,187,198,207,233],"electrodialysis":[6],"devices":[7],"and":[8,10,66,141,177],"nano-":[9],"microfluidic":[11],"devices,":[12],"scope":[14],"which":[16,120],"is":[17,32,70,124,211,246],"steadily":[18],"expanding.":[19],"One":[20],"main":[23],"aspects":[24],"that":[25],"determine":[26],"effectiveness":[28],"membrane":[30,98,163,192,244],"systems":[31],"choice":[34],"optimal":[37],"electrical":[38,60,94],"mode.":[39],"The":[40,62,105,231],"solution":[41,210],"this":[43],"problem,":[44],"along":[45],"with":[46,80,221],"experimental":[47],"studies,":[48],"requires":[49],"tools":[50],"for":[51,107,248],"theoretical":[53],"analysis":[54],"ion-transport":[56],"in":[58,96,119,153,164,190,195,213],"various":[59],"modes.":[61],"system":[63,99,136],"Nernst\u2013Planck\u2013Poisson":[65],"Navier\u2013Stokes":[67,142],"(NPP\u2013NS)":[68],"equations":[69,220,255],"widely":[71],"used":[72],"to":[73,91,114,181,242,257],"describe":[74,92,182],"overlimiting":[76,150,202],"mass":[77,151,188],"transfer":[78,152,189],"associated":[79],"development":[82],"electroconvection.":[84],"This":[85],"paper":[86],"proposes":[87],"a":[88,97,145,222],"new":[89],"approach":[90,215],"mode":[95,168],"using":[100],"displacement":[102,109,139],"current":[103,110,129,140,167,236],"equation.":[104],"equation":[106,229],"makes":[111],"it":[112],"possible":[113],"simulate":[115],"galvanodynamic":[117],"mode,":[118],"electric":[122],"field":[123],"determined":[125],"by":[126],"given":[128],"density.":[130],"On":[131],"basis":[133],"Nernst\u2013Planck,":[138],"(NPD\u2013NS)":[143],"equations,":[144,179],"model":[146,250,259],"electroconvective":[149],"diffusion":[155],"layer":[156],"at":[157,238],"surface":[159,245],"ion-exchange":[162],"DC":[166],"was":[169],"constructed.":[170],"Mathematical":[171],"models":[172],"based":[173,216,251,260],"on":[174,217,252,261],"NPP\u2013NS":[176,219,263],"NPD\u2013NS":[178,228,254],"formulated":[180],"same":[184],"physical":[185],"situation":[186],"system,":[193],"differ":[194],"peculiarities":[197],"numerical":[199,209],"solution.":[200],"At":[201],"currents,":[203],"required":[205],"accuracy":[206,232],"achieved":[212],"smaller":[223],"time":[224],"step":[225],"than":[226],"approach.":[230],"calculating":[234],"density":[237],"boundaries":[240],"parallel":[241],"higher":[247],"compared":[256],"equations.":[264]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-25T23:04:38.658462","created_date":"2023-10-17T00:00:00"}