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

dc.contributor.authorAhmad, Mushtaq
dc.contributor.authorAsjad, Muhammad Imran
dc.contributor.authorAkgül, Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-22T10:41:37Z
dc.date.available2022-03-22T10:41:37Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
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.en_US
dc.identifier.citationAhmad, Mushtaq...at all (2021). "Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate", AIMS Mathematics, Vol. 6, No. 3, pp. 2344-2358.en_US
dc.identifier.doi10.3934/math.2021142
dc.identifier.endpage2358en_US
dc.identifier.issn2473-6988
dc.identifier.issue3en_US
dc.identifier.startpage2344en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5155
dc.identifier.volume6en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCasson Fluiden_US
dc.subjectClay Nanoparticlesen_US
dc.subjectNewen_US
dc.subjectVertical Plateen_US
dc.subjectHeat Transferen_US
dc.subjectHybrid Fractional Derivativeen_US
dc.titleAnalytical solutions for free convection flow of Casson nanofluid over an infinite vertical platetr_TR
dc.titleAnalytical Solutions for Free Convection Flow of Casson Nanofluid Over an Infinite Vertical Plateen_US
dc.typeArticleen_US
dspace.entity.typePublication

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