{"id":"https://openalex.org/W4415568714","doi":"https://doi.org/10.1007/s40808-025-02639-x","title":"Numerical analysis of Williamson nanofluid flow past an oscillating vertical porous plate: influence of Soret, Dufour, and chemical reaction effects","display_name":"Numerical analysis of Williamson nanofluid flow past an oscillating vertical porous plate: influence of Soret, Dufour, and chemical reaction effects","publication_year":2025,"publication_date":"2025-10-27","ids":{"openalex":"https://openalex.org/W4415568714","doi":"https://doi.org/10.1007/s40808-025-02639-x"},"language":"en","primary_location":{"id":"doi:10.1007/s40808-025-02639-x","doi":"https://doi.org/10.1007/s40808-025-02639-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40808-025-02639-x","pdf_url":null,"source":{"id":"https://openalex.org/S2764607366","display_name":"Modeling Earth Systems and Environment","issn_l":"2363-6203","issn":["2363-6203","2363-6211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modeling Earth Systems and Environment","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5066589636","display_name":"Albara Ibrahim Alrawashdeh","orcid":"https://orcid.org/0009-0001-7236-9208","observed_orcids":["https://orcid.org/0009-0001-7236-9208"]},"institutions":[{"id":"https://openalex.org/I114432678","display_name":"Tafila Technical University","ror":"https://ror.org/04jzmk773","country_code":"JO","type":"education","lineage":["https://openalex.org/I114432678"]},{"id":"https://openalex.org/I4210165529","display_name":"University of Business and Technology","ror":"https://ror.org/05tcr1n44","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210165529"]}],"countries":["JO","SA"],"is_corresponding":false,"raw_author_name":"Albara Alrawashdeh","raw_affiliation_strings":["Department of Chemistry and Chemical Technology, College of Science, Tafila Technical University, Tafila, 66110, Jordan","Department of General Subjects, College of Engineering, University of Business and Technology, Jeddah, 21361, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry and Chemical Technology, College of Science, Tafila Technical University, Tafila, 66110, Jordan","institution_ids":["https://openalex.org/I114432678"]},{"raw_affiliation_string":"Department of General Subjects, College of Engineering, University of Business and Technology, Jeddah, 21361, Saudi Arabia","institution_ids":["https://openalex.org/I4210165529"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101671017","display_name":"Muhammad Awais","orcid":"https://orcid.org/0000-0002-6451-2262","observed_orcids":["https://orcid.org/0000-0002-6451-2262"]},"institutions":[{"id":"https://openalex.org/I69716792","display_name":"Mirpur University of Science and Technology","ror":"https://ror.org/04qjkhc08","country_code":"PK","type":"education","lineage":["https://openalex.org/I69716792"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Awais","raw_affiliation_strings":["Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, 10250, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, 10250, Pakistan","institution_ids":["https://openalex.org/I69716792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050158948","display_name":"Hakim AL Garalleh","orcid":"https://orcid.org/0000-0003-3917-2339","observed_orcids":["https://orcid.org/0000-0003-3917-2339"]},"institutions":[{"id":"https://openalex.org/I4210165529","display_name":"University of Business and Technology","ror":"https://ror.org/05tcr1n44","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210165529"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hakim Al Garalleh","raw_affiliation_strings":["Department of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah, 21361, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah, 21361, Saudi Arabia","institution_ids":["https://openalex.org/I4210165529"]}]},{"author_position":"last","author":{"id":null,"display_name":"Raja Farrukh Riaz","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I69716792","display_name":"Mirpur University of Science and Technology","ror":"https://ror.org/04qjkhc08","country_code":"PK","type":"education","lineage":["https://openalex.org/I69716792"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Raja Farrukh Riaz","raw_affiliation_strings":["Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, 10250, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, 10250, Pakistan","institution_ids":["https://openalex.org/I69716792"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101671017"],"corresponding_institution_ids":["https://openalex.org/I69716792"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":1.7142,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80727163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"12","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":0.9878000020980835,"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"}},"topics":[{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9878000020980835,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.010499999858438969,"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/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.0005000000237487257,"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/williamson-nanofluid","display_name":"Williamson nanofluid","score":0.9879999756813049},{"id":"https://openalex.org/keywords/mhd-flow","display_name":"magnetohydrodynamic flow","score":0.765999972820282},{"id":"https://openalex.org/keywords/oscillating-vertical-plate","display_name":"oscillating vertical plate","score":0.8640000224113464},{"id":"https://openalex.org/keywords/porous-media","display_name":"porous media","score":0.7670000195503235},{"id":"https://openalex.org/keywords/thermophoresis","display_name":"thermophoresis","score":0.9449999928474426},{"id":"https://openalex.org/keywords/dufour-effect","display_name":"Dufour effect","score":1.0},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.7760000228881836},{"id":"https://openalex.org/keywords/chemical-reactions","display_name":"chemical reactions","score":0.8059999942779541},{"id":"https://openalex.org/keywords/joule-heating","display_name":"Joule heating","score":0.9919999837875366},{"id":"https://openalex.org/keywords/heat-generation-and-absorption","display_name":"heat generation and absorption","score":0.7250000238418579},{"id":"https://openalex.org/keywords/cross-diffusion","display_name":"cross-diffusion","score":0.7829999923706055},{"id":"https://openalex.org/keywords/non-newtonian-fluids","display_name":"non-Newtonian fluids","score":0.7059999704360962},{"id":"https://openalex.org/keywords/shear-thinning","display_name":"shear thinning","score":0.8410000205039978},{"id":"https://openalex.org/keywords/natural-convection","display_name":"natural convection","score":0.7490000128746033},{"id":"https://openalex.org/keywords/buongiorno-model","display_name":"Buongiorno model","score":0.8119999766349792}],"concepts":[{"id":"https://openalex.org/C21946209","wikidata":"https://www.wikidata.org/wiki/Q1989679","display_name":"Nanofluid","level":3,"score":0.8848000168800354},{"id":"https://openalex.org/C13027520","wikidata":"https://www.wikidata.org/wiki/Q868719","display_name":"Grashof number","level":5,"score":0.8763999938964844},{"id":"https://openalex.org/C15401063","wikidata":"https://www.wikidata.org/wiki/Q610090","display_name":"Thermophoresis","level":4,"score":0.8059999942779541},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.6098999977111816},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.567799985408783},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5214999914169312},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.4966999888420105},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.47540000081062317},{"id":"https://openalex.org/C119103248","wikidata":"https://www.wikidata.org/wiki/Q901815","display_name":"Sherwood number","level":5,"score":0.4189000129699707},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.41110000014305115},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.38659998774528503},{"id":"https://openalex.org/C189234753","wikidata":"https://www.wikidata.org/wiki/Q17007315","display_name":"Combined forced and natural convection","level":4,"score":0.3815999925136566},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.3799999952316284},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C51038369","wikidata":"https://www.wikidata.org/wiki/Q909534","display_name":"Mass transfer","level":2,"score":0.35910001397132874},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.34610000252723694},{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.32339999079704285},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.30869999527931213},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.30799999833106995},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C117926987","wikidata":"https://www.wikidata.org/wiki/Q210009","display_name":"Joule heating","level":2,"score":0.3012000024318695},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2987000048160553},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C3020116064","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Heat generation","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C92718894","wikidata":"https://www.wikidata.org/wiki/Q679643","display_name":"Transport phenomena","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C538625479","wikidata":"https://www.wikidata.org/wiki/Q6497624","display_name":"Buoyancy","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2540999948978424},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C2779891131","wikidata":"https://www.wikidata.org/wiki/Q5300012","display_name":"Double diffusive convection","level":5,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40808-025-02639-x","doi":"https://doi.org/10.1007/s40808-025-02639-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40808-025-02639-x","pdf_url":null,"source":{"id":"https://openalex.org/S2764607366","display_name":"Modeling Earth Systems and Environment","issn_l":"2363-6203","issn":["2363-6203","2363-6211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modeling Earth Systems and Environment","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W2020876389","https://openalex.org/W2046388281","https://openalex.org/W2590096452","https://openalex.org/W3134500710","https://openalex.org/W3200882949","https://openalex.org/W3210307473","https://openalex.org/W4297857302","https://openalex.org/W4362663772","https://openalex.org/W4378376636","https://openalex.org/W4380990188","https://openalex.org/W4390661464","https://openalex.org/W4391319992","https://openalex.org/W4392245725","https://openalex.org/W4392374186","https://openalex.org/W4392804920","https://openalex.org/W4393238382","https://openalex.org/W4400643093","https://openalex.org/W4400906745","https://openalex.org/W4404866594","https://openalex.org/W4405613541","https://openalex.org/W4408910587","https://openalex.org/W4409197876","https://openalex.org/W4409528925","https://openalex.org/W4409852019","https://openalex.org/W4411508108","https://openalex.org/W4412175901","https://openalex.org/W4412439950"],"related_works":["https://openalex.org/W4366989437","https://openalex.org/W4387104715","https://openalex.org/W4304890921","https://openalex.org/W4398210027","https://openalex.org/W7138994273","https://openalex.org/W7154462826","https://openalex.org/W4411508108","https://openalex.org/W3096452011","https://openalex.org/W2890468414","https://openalex.org/W4414783655"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":8}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2025-10-28T00:00:00"}