{"id":"https://openalex.org/W4308333976","doi":"https://doi.org/10.3390/axioms11110608","title":"Swirling Flow of Chemically Reactive Viscoelastic Oldroyd-B Fluid through Porous Medium with a Convected Boundary Condition Featuring the Thermophoresis Particle Deposition and Soret\u2013Dufour Effects","display_name":"Swirling Flow of Chemically Reactive Viscoelastic Oldroyd-B Fluid through Porous Medium with a Convected Boundary Condition Featuring the Thermophoresis Particle Deposition and Soret\u2013Dufour Effects","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4308333976","doi":"https://doi.org/10.3390/axioms11110608"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11110608","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11110608","pdf_url":"https://www.mdpi.com/2075-1680/11/11/608/pdf?version=1667299004","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/11/608/pdf?version=1667299004","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064036310","display_name":"Abeer Al Elaiw","orcid":"https://orcid.org/0000-0001-8023-3848"},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Abeer Al Elaiw","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31082, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31082, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005561476","display_name":"Abdul Hafeez","orcid":null},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Abdul Hafeez","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan","Department of Mathematics, University of Loralai, Loralai 84800, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Department of Mathematics, University of Loralai, Loralai 84800, Pakistan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101911355","display_name":"Asma Khalid","orcid":"https://orcid.org/0000-0002-8418-0218"},"institutions":[{"id":"https://openalex.org/I3129295671","display_name":"Sardar Bahadur Khan Women's University","ror":"https://ror.org/05qyt4p67","country_code":"PK","type":"education","lineage":["https://openalex.org/I3129295671"]},{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["PK","SA"],"is_corresponding":false,"raw_author_name":"Asma Khalid","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31082, Saudi Arabia","Department of Mathematics, SBK Women\u2032s University, Quetta 87300, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31082, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]},{"raw_affiliation_string":"Department of Mathematics, SBK Women\u2032s University, Quetta 87300, Pakistan","institution_ids":["https://openalex.org/I3129295671"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087348734","display_name":"Muneerah Al Nuwairan","orcid":"https://orcid.org/0000-0001-9076-9945"},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Muneerah AL Nuwairan","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31082, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-9076-9945","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31082, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064036310"],"corresponding_institution_ids":["https://openalex.org/I4626487"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.44,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61204427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"11","issue":"11","first_page":"608","last_page":"608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9984999895095825,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9977999925613403,"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/thermophoresis","display_name":"Thermophoresis","score":0.9330641627311707},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.627432107925415},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4854184091091156},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.48369866609573364},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.478792279958725},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4555448889732361},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.44146019220352173},{"id":"https://openalex.org/keywords/schmidt-number","display_name":"Schmidt number","score":0.4358593225479126},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4285432994365692},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.42443251609802246},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.32915687561035156},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31505173444747925},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2883850932121277},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.2446117401123047},{"id":"https://openalex.org/keywords/nanofluid","display_name":"Nanofluid","score":0.19281065464019775},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.18294912576675415},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09853947162628174}],"concepts":[{"id":"https://openalex.org/C15401063","wikidata":"https://www.wikidata.org/wiki/Q610090","display_name":"Thermophoresis","level":4,"score":0.9330641627311707},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.627432107925415},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4854184091091156},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.48369866609573364},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.478792279958725},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4555448889732361},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.44146019220352173},{"id":"https://openalex.org/C155231867","wikidata":"https://www.wikidata.org/wiki/Q581997","display_name":"Schmidt number","level":4,"score":0.4358593225479126},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4285432994365692},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.42443251609802246},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.32915687561035156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31505173444747925},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2883850932121277},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.2446117401123047},{"id":"https://openalex.org/C21946209","wikidata":"https://www.wikidata.org/wiki/Q1989679","display_name":"Nanofluid","level":3,"score":0.19281065464019775},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.18294912576675415},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09853947162628174},{"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/axioms11110608","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11110608","pdf_url":"https://www.mdpi.com/2075-1680/11/11/608/pdf?version=1667299004","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4c9cb29c4a2543f59c53fd74ecfe27e4","is_oa":true,"landing_page_url":"https://doaj.org/article/4c9cb29c4a2543f59c53fd74ecfe27e4","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":"Axioms, Vol 11, Iss 11, p 608 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/11/608/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11110608","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":"Axioms; Volume 11; Issue 11; Pages: 608","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11110608","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11110608","pdf_url":"https://www.mdpi.com/2075-1680/11/11/608/pdf?version=1667299004","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320331156","display_name":"King Faisal University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4308333976.pdf","grobid_xml":"https://content.openalex.org/works/W4308333976.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1804685812","https://openalex.org/W1966396994","https://openalex.org/W1999424477","https://openalex.org/W2009213978","https://openalex.org/W2012528763","https://openalex.org/W2025126062","https://openalex.org/W2035708559","https://openalex.org/W2050152127","https://openalex.org/W2060692013","https://openalex.org/W2066035123","https://openalex.org/W2082384340","https://openalex.org/W2093825187","https://openalex.org/W2125692555","https://openalex.org/W2155532339","https://openalex.org/W3002544624","https://openalex.org/W3024483600","https://openalex.org/W3201000394","https://openalex.org/W3207394365","https://openalex.org/W4230720768","https://openalex.org/W4280633157","https://openalex.org/W6653883623","https://openalex.org/W6671372975"],"related_works":["https://openalex.org/W2520993426","https://openalex.org/W4320038702","https://openalex.org/W2076944589","https://openalex.org/W1616107976","https://openalex.org/W2534588092","https://openalex.org/W4214817841","https://openalex.org/W3033989485","https://openalex.org/W2925743023","https://openalex.org/W2999616507","https://openalex.org/W2748563398"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"an":[3,190],"analysis":[4],"of":[5,9,32,41,80,129,153,167,180],"the":[6,18,30,39,50,57,61,65,70,78,89,127,130,135,140,145,151,154,160,173,193,201],"rotating":[7],"flow":[8,113],"viscoelastic":[10],"Oldroyd-B":[11],"fluid":[12,174],"along":[13],"with":[14,29],"porous":[15],"medium":[16],"featuring":[17],"Soret\u2013Dufour":[19],"effects":[20],"is":[21,27,75,109,183],"explored.":[22],"The":[23,122,165],"heat":[24,36],"transport":[25],"mechanism":[26],"discussed":[28],"involvement":[31],"thermal":[33],"radiation":[34,169],"and":[35,44,84,102,116,162],"source/sink.":[37],"Additionally,":[38,143],"thermophoresis":[40],"particle":[42],"deposition":[43],"chemical":[45],"reaction":[46],"are":[47,97],"taken":[48],"into":[49],"concentration":[51],"equation":[52],"in":[53,60,77,93,159,192,200],"order":[54],"to":[55,185,197],"investigate":[56],"mass":[58],"transportation":[59],"liquid.":[62],"To":[63],"formulate":[64],"non-linear":[66],"ordinary":[67],"differential":[68,82],"equations,":[69],"von":[71],"Karman":[72],"similarity":[73],"approach":[74],"used":[76],"system":[79],"partial":[81],"equations":[83],"then":[85],"integrated":[86],"numerically":[87],"by":[88,99],"bvp":[90],"midrich":[91],"scheme":[92],"Maple":[94],"programming.":[95],"Results":[96],"provided":[98],"graphical":[100],"framework":[101],"tabular":[103],"form.":[104],"A":[105],"quick":[106],"parametric":[107],"survey":[108],"carried":[110],"out":[111],"concerning":[112],"field,":[114],"thermal,":[115],"solutal":[117],"distributions":[118],"through":[119],"graph":[120],"representation.":[121],"curves":[123,156],"show":[124],"that":[125,172],"increasing":[126,139],"values":[128],"retardation":[131],"time":[132,147],"parameter":[133,148,170,195],"decreases":[134,157],"radial":[136,161],"velocity":[137,155],"while":[138],"angular":[141],"velocity.":[142],"when":[144],"relaxation":[146],"becomes":[149],"powerful,":[150],"magnitude":[152],"considerably":[158],"axial":[163],"directions.":[164],"presence":[166],"a":[168,177,186,198],"indicates":[171],"will":[175],"absorb":[176],"greater":[178],"amount":[179],"heat,":[181],"which":[182],"equivalent":[184],"higher":[187],"temperature.":[188],"Further,":[189],"increase":[191],"stretching":[194],"leads":[196],"reduction":[199],"temperature":[202],"components.":[203]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2022-11-11T00:00:00"}