{"id":"https://openalex.org/W3164926910","doi":"https://doi.org/10.1155/2021/9951162","title":"Impact of Nanofluid Flow over an Elongated Moving Surface with a Uniform Hydromagnetic Field and Nonlinear Heat Reservoir","display_name":"Impact of Nanofluid Flow over an Elongated Moving Surface with a Uniform Hydromagnetic Field and Nonlinear Heat Reservoir","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3164926910","doi":"https://doi.org/10.1155/2021/9951162","mag":"3164926910"},"language":"en","primary_location":{"id":"doi:10.1155/2021/9951162","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9951162","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9951162.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/9951162.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007163302","display_name":"Haroon Ur Rasheed","orcid":"https://orcid.org/0000-0002-9045-8183"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Haroon U. R. Rasheed","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040226905","display_name":"Saeed Islam","orcid":"https://orcid.org/0000-0001-5263-4871"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saeed Islam","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030248771","display_name":"Zeeshan Khan","orcid":"https://orcid.org/0000-0003-4044-5170"},"institutions":[{"id":"https://openalex.org/I202376891","display_name":"Sarhad University of Science and Information Technology","ror":"https://ror.org/04dx2y384","country_code":"PK","type":"education","lineage":["https://openalex.org/I202376891"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zeeshan Khan","raw_affiliation_strings":["Sarhad University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sarhad University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I202376891"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101991387","display_name":"Sayer Obaid Alharbi","orcid":"https://orcid.org/0000-0001-6194-7925"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sayer O. Alharbi","raw_affiliation_strings":["Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063332173","display_name":"Hammad Alotaibi","orcid":"https://orcid.org/0000-0001-5908-4913"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hammad Alotaibi","raw_affiliation_strings":["Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011875207","display_name":"Ilyas Khan","orcid":"https://orcid.org/0000-0002-2056-9371"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Ilyas Khan","raw_affiliation_strings":["Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-2056-9371","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5011875207"],"corresponding_institution_ids":["https://openalex.org/I195631090"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.1034,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.74499538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","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/T10104","display_name":"Nanofluid Flow and Heat Transfer","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/T11945","display_name":"Heat Transfer Mechanisms","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nusselt-number","display_name":"Nusselt number","score":0.7820233106613159},{"id":"https://openalex.org/keywords/nanofluid","display_name":"Nanofluid","score":0.7805677652359009},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.737834095954895},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.595937192440033},{"id":"https://openalex.org/keywords/lewis-number","display_name":"Lewis number","score":0.5281180143356323},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.4838046431541443},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4668598473072052},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.46034669876098633},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3875707983970642},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3619248569011688},{"id":"https://openalex.org/keywords/mass-transfer","display_name":"Mass transfer","score":0.12307682633399963},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.11676380038261414}],"concepts":[{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.7820233106613159},{"id":"https://openalex.org/C21946209","wikidata":"https://www.wikidata.org/wiki/Q1989679","display_name":"Nanofluid","level":3,"score":0.7805677652359009},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.737834095954895},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.595937192440033},{"id":"https://openalex.org/C7742248","wikidata":"https://www.wikidata.org/wiki/Q901840","display_name":"Lewis number","level":3,"score":0.5281180143356323},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4838046431541443},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4668598473072052},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.46034669876098633},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3875707983970642},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3619248569011688},{"id":"https://openalex.org/C51038369","wikidata":"https://www.wikidata.org/wiki/Q909534","display_name":"Mass transfer","level":2,"score":0.12307682633399963},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.11676380038261414},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/9951162","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9951162","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9951162.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:9951162","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/9951162.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:bca15a7d3c3e4f2b89a10fda9773378f","is_oa":true,"landing_page_url":"https://doaj.org/article/bca15a7d3c3e4f2b89a10fda9773378f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/9951162","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9951162","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9951162.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G3955673099","display_name":null,"funder_award_id":"RGP-2019-6","funder_id":"https://openalex.org/F4320324553","funder_display_name":"Majmaah University"}],"funders":[{"id":"https://openalex.org/F4320324553","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3164926910.pdf","grobid_xml":"https://content.openalex.org/works/W3164926910.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W945145014","https://openalex.org/W1656674845","https://openalex.org/W1972067347","https://openalex.org/W2016000523","https://openalex.org/W2018379429","https://openalex.org/W2039310443","https://openalex.org/W2045956884","https://openalex.org/W2073931566","https://openalex.org/W2077677180","https://openalex.org/W2085015103","https://openalex.org/W2088612393","https://openalex.org/W2167134561","https://openalex.org/W2298807736","https://openalex.org/W2401318654","https://openalex.org/W2494375124","https://openalex.org/W2499591336","https://openalex.org/W2512287531","https://openalex.org/W2570617745","https://openalex.org/W2604961341","https://openalex.org/W2605861275","https://openalex.org/W2617372750","https://openalex.org/W2793868562","https://openalex.org/W2800000588","https://openalex.org/W2806646821","https://openalex.org/W2809099615","https://openalex.org/W2810701846","https://openalex.org/W2923124298","https://openalex.org/W2937905835","https://openalex.org/W2945704490","https://openalex.org/W2946683106","https://openalex.org/W2973150751","https://openalex.org/W2989575771","https://openalex.org/W2994200202","https://openalex.org/W3021718987","https://openalex.org/W4307023419"],"related_works":["https://openalex.org/W2745658438","https://openalex.org/W2023350146","https://openalex.org/W2058595633","https://openalex.org/W1965344808","https://openalex.org/W2059916686","https://openalex.org/W2004060773","https://openalex.org/W2045450011","https://openalex.org/W596359682","https://openalex.org/W4308003839","https://openalex.org/W2138076026"],"abstract_inverted_index":{"The":[0,82,128],"increasing":[1],"global":[2],"demand":[3],"for":[4,119],"energy":[5],"necessitates":[6],"devoted":[7],"attention":[8],"to":[9,20,32,40,102],"the":[10,64,70,79,105,108,120,123,169],"formulation":[11,84],"and":[12,22,36,45,62,74,139,156,176],"exploration":[13],"of":[14,16,107,122,126,130],"mechanisms":[15],"thermal":[17,28,34,137],"heat":[18,24,37,43,53],"exchangers":[19],"explore":[21],"save":[23],"energy.":[25],"Thus,":[26],"innovative":[27],"transport":[29],"fluids":[30],"require":[31],"boost":[33],"conductivity":[35],"flow":[38,66,98,135],"features":[39],"upsurge":[41],"convection":[42],"rate,":[44],"nanofluids":[46],"have":[47],"been":[48,117],"effectively":[49],"employed":[50],"as":[51,143,172],"standard":[52],"transfer":[54],"fluids.":[55],"With":[56],"such":[57,142],"intention,":[58],"herein,":[59],"we":[60],"formulated":[61],"developed":[63],"constitutive":[65],"laws":[67],"by":[68,92],"utilizing":[69],"Rossland":[71],"diffusion":[72],"approximation":[73],"Stephen\u2019s":[75],"law":[76],"along":[77],"with":[78,168],"MHD":[80],"effect.":[81],"mathematical":[83],"is":[85,159,180],"based":[86],"on":[87,134],"boundary":[88],"layer":[89],"theory":[90],"pioneered":[91],"Prandtl.":[93],"Governing":[94],"nonlinear":[95,124],"partial":[96],"differential":[97],"equations":[99],"are":[100,166],"changed":[101],"ODEs":[103],"via":[104,161],"implementation":[106],"similarity":[109],"variables.":[110],"A":[111],"well\u2010known":[112],"computational":[113],"algorithm":[114],"BVPh2":[115],"has":[116],"utilized":[118],"solution":[121,171],"system":[125],"ODEs.":[127],"consequence":[129],"innumerable":[131],"physical":[132],"parameters":[133],"field,":[136,141,145],"distribution,":[138],"solutal":[140],"magnetic":[144],"Lewis":[146],"number,":[147,151,155,158],"velocity":[148],"parameter,":[149],"Prandtl":[150],"drag":[152],"force,":[153],"Nusselt":[154],"Sherwood":[157],"plotted":[160],"graphs.":[162],"Finally,":[163],"numerical":[164],"consequences":[165],"compared":[167],"homotopic":[170],"a":[173],"limiting":[174],"case,":[175],"an":[177],"exceptional":[178],"agreement":[179],"found.":[181]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}