Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate

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dc.authoridAsjad, Muhammad Imran/0000-0002-1484-5114
dc.contributor.authorAhmad, Mushtaq
dc.contributor.authorAsjad, Muhammad Imran
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:33:59Z
dc.date.available2024-12-24T19:33:59Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThis research article is design to elaborate the rule and significance of fractional derivative for heat transport in drilling of nanofluid. The respective nanofluid formed by the suspension of clay nanoparticles in the base fluids namely Casson fluid. The physical flow phenomenon is demonstrated with the help of partial differential equations by utilizing the respective thermophysical properties of nanoparticles. Also the geometric and thermal conditions are imposed in flow domain. In the governing equations, the partial derivative with respect to time replaced by new hybrid fractional derivative and then solved analytically for temperature and velocity field with the help of Laplace transformed. The obtained solutions for temperature and velocity are presented geometrically by Mathcad software to see the effectiveness of potent parameters. The temperature and velocity present a significant increasing trend for increasing volume fraction parameter. The obtained results for temperature as well as velocity are also compared with the existing literature and it is concluded that field variables with new hybrid fractional derivative, show more decaying trend as compare to the results with Caputo and Caputo-Fabrizio fractional derivatives.
dc.description.sponsorshipCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Pakistan; University of Management and Technology Lahore, Pakistan
dc.description.sponsorshipThe authors are greatly obliged and thankful to the Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Pakistan and University of Management and Technology Lahore, Pakistan for facilitating and supporting the research work.
dc.identifier.doi10.3934/math.2021142
dc.identifier.endpage2358
dc.identifier.issn2473-6988
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85099280221
dc.identifier.scopusqualityQ1
dc.identifier.startpage2344
dc.identifier.urihttps://doi.org/10.3934/math.2021142
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8369
dc.identifier.volume6
dc.identifier.wosWOS:000672551400016
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCasson fluid
dc.subjectClay nanoparticles
dc.subjectnew
dc.subjectvertical plate
dc.subjectheat transfer
dc.subjecthybrid fractional derivative
dc.titleAnalytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate
dc.typeArticle

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