{"id":"https://openalex.org/W2967777391","doi":"https://doi.org/10.3390/sym11081038","title":"Numerical Simulation and Mathematical Modeling of Electro-Osmotic Couette\u2013Poiseuille Flow of MHD Power-Law Nanofluid with Entropy Generation","display_name":"Numerical Simulation and Mathematical Modeling of Electro-Osmotic Couette\u2013Poiseuille Flow of MHD Power-Law Nanofluid with Entropy Generation","publication_year":2019,"publication_date":"2019-08-12","ids":{"openalex":"https://openalex.org/W2967777391","doi":"https://doi.org/10.3390/sym11081038","mag":"2967777391"},"language":"en","primary_location":{"id":"doi:10.3390/sym11081038","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11081038","pdf_url":"https://www.mdpi.com/2073-8994/11/8/1038/pdf?version=1565614826","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/8/1038/pdf?version=1565614826","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017056586","display_name":"R. Ellahi","orcid":"https://orcid.org/0000-0002-7805-8259"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]},{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["PK","SA"],"is_corresponding":true,"raw_author_name":"Rahmat Ellahi","raw_affiliation_strings":["Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia","Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7805-8259","affiliations":[{"raw_affiliation_string":"Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017285624","display_name":"Sadiq M. Sait","orcid":"https://orcid.org/0000-0002-4796-0581"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sadiq M. Sait","raw_affiliation_strings":["Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091585411","display_name":"Nasir Shehzad","orcid":"https://orcid.org/0000-0001-7114-2477"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"N. Shehzad","raw_affiliation_strings":["Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025847093","display_name":"N. Mobin","orcid":null},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"N. Mobin","raw_affiliation_strings":["Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017056586"],"corresponding_institution_ids":["https://openalex.org/I121243025","https://openalex.org/I134085113"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":10.8602,"has_fulltext":true,"cited_by_count":147,"citation_normalized_percentile":{"value":0.99060345,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"11","issue":"8","first_page":"1038","last_page":"1038"},"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical 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":0.9878000020980835,"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/nanofluid","display_name":"Nanofluid","score":0.8352495431900024},{"id":"https://openalex.org/keywords/hagen\u2013poiseuille-equation","display_name":"Hagen\u2013Poiseuille equation","score":0.7915916442871094},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6901131868362427},{"id":"https://openalex.org/keywords/nusselt-number","display_name":"Nusselt number","score":0.59820556640625},{"id":"https://openalex.org/keywords/brinkman-number","display_name":"Brinkman number","score":0.5980513095855713},{"id":"https://openalex.org/keywords/couette-flow","display_name":"Couette flow","score":0.5800542235374451},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4681587219238281},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.4489153027534485},{"id":"https://openalex.org/keywords/power-law","display_name":"Power law","score":0.43844330310821533},{"id":"https://openalex.org/keywords/pressure-drop","display_name":"Pressure drop","score":0.43392664194107056},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4315240681171417},{"id":"https://openalex.org/keywords/power-law-fluid","display_name":"Power-law fluid","score":0.4258931875228882},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.40090832114219666},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38426345586776733},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.35715097188949585},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.3247728645801544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3154970407485962},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.25313735008239746},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.2260504961013794},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.08397102355957031}],"concepts":[{"id":"https://openalex.org/C21946209","wikidata":"https://www.wikidata.org/wiki/Q1989679","display_name":"Nanofluid","level":3,"score":0.8352495431900024},{"id":"https://openalex.org/C175336444","wikidata":"https://www.wikidata.org/wiki/Q869854","display_name":"Hagen\u2013Poiseuille equation","level":3,"score":0.7915916442871094},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6901131868362427},{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.59820556640625},{"id":"https://openalex.org/C43093850","wikidata":"https://www.wikidata.org/wiki/Q917504","display_name":"Brinkman number","level":5,"score":0.5980513095855713},{"id":"https://openalex.org/C2779099160","wikidata":"https://www.wikidata.org/wiki/Q1114429","display_name":"Couette flow","level":3,"score":0.5800542235374451},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4681587219238281},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.4489153027534485},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.43844330310821533},{"id":"https://openalex.org/C114088122","wikidata":"https://www.wikidata.org/wiki/Q1261069","display_name":"Pressure drop","level":2,"score":0.43392664194107056},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4315240681171417},{"id":"https://openalex.org/C47681835","wikidata":"https://www.wikidata.org/wiki/Q970142","display_name":"Power-law fluid","level":3,"score":0.4258931875228882},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.40090832114219666},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38426345586776733},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.35715097188949585},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.3247728645801544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3154970407485962},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.25313735008239746},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.2260504961013794},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.08397102355957031},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym11081038","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11081038","pdf_url":"https://www.mdpi.com/2073-8994/11/8/1038/pdf?version=1565614826","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b9c6112864a745e58ec6eb592f03133f","is_oa":true,"landing_page_url":"https://doaj.org/article/b9c6112864a745e58ec6eb592f03133f","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":"Symmetry, Vol 11, Iss 8, p 1038 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11081038","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11081038","pdf_url":"https://www.mdpi.com/2073-8994/11/8/1038/pdf?version=1565614826","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322323","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2967777391.pdf","grobid_xml":"https://content.openalex.org/works/W2967777391.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1963804126","https://openalex.org/W1966519280","https://openalex.org/W1976325110","https://openalex.org/W1998245776","https://openalex.org/W2006395178","https://openalex.org/W2007124988","https://openalex.org/W2020064981","https://openalex.org/W2029650991","https://openalex.org/W2036848171","https://openalex.org/W2042553350","https://openalex.org/W2082730768","https://openalex.org/W2130620182","https://openalex.org/W2160187305","https://openalex.org/W2167862052","https://openalex.org/W2225776000","https://openalex.org/W2232396472","https://openalex.org/W2260599557","https://openalex.org/W2264088621","https://openalex.org/W2344652846","https://openalex.org/W2401103375","https://openalex.org/W2414983887","https://openalex.org/W2466295450","https://openalex.org/W2467491119","https://openalex.org/W2499591336","https://openalex.org/W2501648372","https://openalex.org/W2519383598","https://openalex.org/W2538108745","https://openalex.org/W2551589055","https://openalex.org/W2555212148","https://openalex.org/W2566390775","https://openalex.org/W2586959236","https://openalex.org/W2594187593","https://openalex.org/W2594584950","https://openalex.org/W2606627526","https://openalex.org/W2607183518","https://openalex.org/W2614989894","https://openalex.org/W2640763389","https://openalex.org/W2727885522","https://openalex.org/W2738165893","https://openalex.org/W2771173766","https://openalex.org/W2782172594","https://openalex.org/W2789899438","https://openalex.org/W2803368899","https://openalex.org/W2809303494","https://openalex.org/W2809381387","https://openalex.org/W2885540893","https://openalex.org/W2892904571","https://openalex.org/W2918008872","https://openalex.org/W2920350101","https://openalex.org/W2921935003","https://openalex.org/W2938929719","https://openalex.org/W2941008726","https://openalex.org/W2945818982","https://openalex.org/W2979562792"],"related_works":["https://openalex.org/W2025888804","https://openalex.org/W3216960759","https://openalex.org/W3179866224","https://openalex.org/W3105980358","https://openalex.org/W2461002442","https://openalex.org/W4300569699","https://openalex.org/W1995732523","https://openalex.org/W1491024499","https://openalex.org/W2051481594","https://openalex.org/W2145360202"],"abstract_inverted_index":{"The":[0,19,36,65,117],"basic":[1],"motivation":[2],"of":[3,16,32,39,67,83,120],"this":[4],"investigation":[5],"is":[6,22,53,63],"to":[7],"develop":[8],"an":[9],"innovative":[10],"mathematical":[11],"model":[12,21],"for":[13,59],"electro-osmotic":[14,91],"flow":[15,61],"Couette\u2013Poiseuille":[17],"nanofluids.":[18],"power-law":[20],"treated":[23],"as":[24,89],"the":[25,40,44,50,80,90,121],"base":[26],"fluid":[27,97],"suspended":[28],"with":[29],"nano-sized":[30],"particles":[31],"aluminum":[33],"oxide":[34],"(Al2O3).":[35],"uniform":[37],"speed":[38],"upper":[41],"wall":[42,52],"in":[43,130],"axial":[45],"path":[46],"generates":[47],"flow,":[48],"whereas":[49],"lower":[51],"kept":[54],"fixed.":[55],"An":[56],"analytic":[57],"solution":[58],"nonlinear":[60],"dynamics":[62],"obtained.":[64],"ramifications":[66],"entropy":[68],"generation,":[69],"magnetic":[70,93],"field,":[71],"and":[72,107,115],"a":[73],"constant":[74],"pressure":[75],"gradient":[76],"are":[77,109,133],"appraised.":[78],"Moreover,":[79],"physical":[81],"features":[82],"most":[84],"noteworthy":[85],"substantial":[86],"factors":[87],"such":[88],"parameter,":[92,94,98],"power":[95],"law":[96],"skin":[99],"friction,":[100],"Nusselt":[101],"number,":[102,104],"Brinkman":[103],"volume":[105],"fraction,":[106],"concentration":[108],"adequately":[110],"delineated":[111],"through":[112],"various":[113],"graphs":[114],"tables.":[116],"convergence":[118],"analysis":[119],"obtained":[122],"solutions":[123],"has":[124],"been":[125],"discussed":[126],"explicitly.":[127],"Recurrence":[128],"formulae":[129],"each":[131],"case":[132],"also":[134],"presented.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":64},{"year":2019,"cited_by_count":13}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}