{"id":"https://openalex.org/W7140097058","doi":"https://doi.org/10.1016/j.engappai.2026.114577","title":"Heuristic physics-informed neural network model for simulating melting-induced thin film flow of cross-fluid with industrial waste and electroosmosis effects","display_name":"Heuristic physics-informed neural network model for simulating melting-induced thin film flow of cross-fluid with industrial waste and electroosmosis effects","publication_year":2026,"publication_date":"2026-03-23","ids":{"openalex":"https://openalex.org/W7140097058","doi":"https://doi.org/10.1016/j.engappai.2026.114577"},"language":"en","primary_location":{"id":"doi:10.1016/j.engappai.2026.114577","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.engappai.2026.114577","pdf_url":null,"source":{"id":"https://openalex.org/S900972176","display_name":"Engineering Applications of Artificial Intelligence","issn_l":"0952-1976","issn":["0952-1976","1873-6769"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering Applications of Artificial Intelligence","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/A5039520840","display_name":"Irfan Saif Ud Din","orcid":null},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Irfan Saif Ud Din","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Lahore, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022884973","display_name":"Imran Siddique","orcid":"https://orcid.org/0000-0002-5060-7906"},"institutions":[{"id":"https://openalex.org/I113330528","display_name":"Khazar University","ror":"https://ror.org/014te7048","country_code":"AZ","type":"education","lineage":["https://openalex.org/I113330528"]},{"id":"https://openalex.org/I160968435","display_name":"University of Sargodha","ror":"https://ror.org/0086rpr26","country_code":"PK","type":"education","lineage":["https://openalex.org/I160968435"]},{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]}],"countries":["AZ","PK","SA"],"is_corresponding":true,"raw_author_name":"Imran Siddique","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, 42351, Saudi Arabia","Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan","Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan"],"raw_orcid":"https://orcid.org/0000-0002-5060-7906","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, 42351, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]},{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan","institution_ids":["https://openalex.org/I160968435"]},{"raw_affiliation_string":"Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan","institution_ids":["https://openalex.org/I113330528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130378802","display_name":"Muhammad Naeem Aslam","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105419","display_name":"Lahore Garrison University","ror":"https://ror.org/01j4ba358","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210105419"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Naeem Aslam","raw_affiliation_strings":["Department of Mathematics, Lahore Garrison University, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0009-0006-4251-1572","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lahore Garrison University, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210105419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102804577","display_name":"Zohaib Zahid","orcid":"https://orcid.org/0000-0003-2651-2269"},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zohaib Zahid","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Lahore, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130376354","display_name":"Admilson T. Franco","orcid":null},"institutions":[{"id":"https://openalex.org/I1283613182","display_name":"Universidade Tecnol\u00f3gica Federal do Paran\u00e1","ror":"https://ror.org/002v2kq79","country_code":"BR","type":"education","lineage":["https://openalex.org/I1283613182"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Admilson T. Franco","raw_affiliation_strings":["Mechanical Engineering Department DAMEC, Postgraduate Program in Mechanical and Materials Engineering PPGEM, Research Center for Rheology and Non-Newtonian Fluids CERNN, Federal University of Technology Paran UTFPR, R. Deputado Heitor Alencar Furtado, 5000 - Bloco N - Ecoville, Curitiba, PR, 81280-340, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department DAMEC, Postgraduate Program in Mechanical and Materials Engineering PPGEM, Research Center for Rheology and Non-Newtonian Fluids CERNN, Federal University of Technology Paran UTFPR, R. Deputado Heitor Alencar Furtado, 5000 - Bloco N - Ecoville, Curitiba, PR, 81280-340, Brazil","institution_ids":["https://openalex.org/I1283613182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130350780","display_name":"Muhammad Nadeem","orcid":null},"institutions":[{"id":"https://openalex.org/I1283613182","display_name":"Universidade Tecnol\u00f3gica Federal do Paran\u00e1","ror":"https://ror.org/002v2kq79","country_code":"BR","type":"education","lineage":["https://openalex.org/I1283613182"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Muhammad Nadeem","raw_affiliation_strings":["Mechanical Engineering Department DAMEC, Postgraduate Program in Mechanical and Materials Engineering PPGEM, Research Center for Rheology and Non-Newtonian Fluids CERNN, Federal University of Technology Paran UTFPR, R. Deputado Heitor Alencar Furtado, 5000 - Bloco N - Ecoville, Curitiba, PR, 81280-340, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department DAMEC, Postgraduate Program in Mechanical and Materials Engineering PPGEM, Research Center for Rheology and Non-Newtonian Fluids CERNN, Federal University of Technology Paran UTFPR, R. Deputado Heitor Alencar Furtado, 5000 - Bloco N - Ecoville, Curitiba, PR, 81280-340, Brazil","institution_ids":["https://openalex.org/I1283613182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5130388387","display_name":"Habib Kraiem","orcid":null},"institutions":[{"id":"https://openalex.org/I118590987","display_name":"Northern Border University","ror":"https://ror.org/03j9tzj20","country_code":"SA","type":"education","lineage":["https://openalex.org/I118590987"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Habib Kraiem","raw_affiliation_strings":["Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, 73213, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, 73213, Saudi Arabia","institution_ids":["https://openalex.org/I118590987"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5022884973"],"corresponding_institution_ids":["https://openalex.org/I113330528","https://openalex.org/I160968435","https://openalex.org/I4210151290"],"apc_list":{"value":3170,"currency":"USD","value_usd":3170},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.62677614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"174","issue":null,"first_page":"114577","last_page":"114577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.40549999475479126,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.40549999475479126,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.1185000017285347,"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/T10998","display_name":"Heat Transfer and Optimization","score":0.08950000256299973,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.5590999722480774},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5557000041007996},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5303000211715698},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.5263000130653381},{"id":"https://openalex.org/keywords/eckert-number","display_name":"Eckert number","score":0.46790000796318054},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44830000400543213},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.43309998512268066},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.41510000824928284},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41019999980926514},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.4075999855995178}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.5590999722480774},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5557000041007996},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5303000211715698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5291000008583069},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.5263000130653381},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5023999810218811},{"id":"https://openalex.org/C47376073","wikidata":"https://www.wikidata.org/wiki/Q905744","display_name":"Eckert number","level":5,"score":0.46790000796318054},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44830000400543213},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.43309998512268066},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.41510000824928284},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41019999980926514},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.4075999855995178},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4000999927520752},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39410001039505005},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39079999923706055},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3052999973297119},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3043000102043152},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.30239999294281006},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.30140000581741333},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C179717631","wikidata":"https://www.wikidata.org/wiki/Q2991667","display_name":"Multilayer perceptron","level":3,"score":0.2985000014305115},{"id":"https://openalex.org/C117926987","wikidata":"https://www.wikidata.org/wiki/Q210009","display_name":"Joule heating","level":2,"score":0.29589998722076416},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C39739852","wikidata":"https://www.wikidata.org/wiki/Q254491","display_name":"Matrix similarity","level":3,"score":0.289900004863739},{"id":"https://openalex.org/C166693061","wikidata":"https://www.wikidata.org/wiki/Q5462119","display_name":"Flow velocity","level":3,"score":0.2696000039577484},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C184235594","wikidata":"https://www.wikidata.org/wiki/Q288706","display_name":"Waste heat","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.259799987077713},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2565000057220459},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2531000077724457},{"id":"https://openalex.org/C3020116064","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Heat generation","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.engappai.2026.114577","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.engappai.2026.114577","pdf_url":null,"source":{"id":"https://openalex.org/S900972176","display_name":"Engineering Applications of Artificial Intelligence","issn_l":"0952-1976","issn":["0952-1976","1873-6769"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering Applications of Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.46139857172966003,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1975521200","https://openalex.org/W1994821830","https://openalex.org/W1996018656","https://openalex.org/W2003890325","https://openalex.org/W2061438946","https://openalex.org/W2118422630","https://openalex.org/W2415373090","https://openalex.org/W2517600007","https://openalex.org/W2585392941","https://openalex.org/W2617386451","https://openalex.org/W2753910367","https://openalex.org/W2792236564","https://openalex.org/W2799991731","https://openalex.org/W2883800310","https://openalex.org/W2904188833","https://openalex.org/W2905223984","https://openalex.org/W2908565170","https://openalex.org/W2917168634","https://openalex.org/W2919979744","https://openalex.org/W2981344605","https://openalex.org/W2999718925","https://openalex.org/W3032446440","https://openalex.org/W3047001618","https://openalex.org/W3180490621","https://openalex.org/W3217262436","https://openalex.org/W4226480439","https://openalex.org/W4229015109","https://openalex.org/W4285604295","https://openalex.org/W4292083457","https://openalex.org/W4296468671","https://openalex.org/W4362467079","https://openalex.org/W4367397456","https://openalex.org/W4379932980","https://openalex.org/W4383879030","https://openalex.org/W4385212539","https://openalex.org/W4386753126","https://openalex.org/W4391651670","https://openalex.org/W4391899913","https://openalex.org/W4400837300","https://openalex.org/W4403458253","https://openalex.org/W4405887300","https://openalex.org/W4406593926","https://openalex.org/W4407918745","https://openalex.org/W4408500669","https://openalex.org/W4410319475","https://openalex.org/W4410717029","https://openalex.org/W4410995419","https://openalex.org/W4411541549","https://openalex.org/W4411929195","https://openalex.org/W4412694484","https://openalex.org/W4416118690","https://openalex.org/W7082275097"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2026-03-24T00:00:00"}