Analysis of the Influences of Parameters in the Fractional Second-Grade Fluid Dynamics

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorSene, Ndolane
dc.contributor.authorYildiz, Mustafa
dc.date.accessioned2024-02-23T14:35:13Z
dc.date.available2024-02-23T14:35:13Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThis work proposes a qualitative study for the fractional second-grade fluid described by a fractional operator. The classical Caputo fractional operator is used in the investigations. The exact analytical solutions of the constructed problems for the proposed model are determined by using the Laplace transform method, which particularly includes the Laplace transform of the Caputo derivative. The impact of the used fractional operator is presented; especially, the acceleration effect is noticed in the paper. The parameters' influences are focused on the dynamics such as the Prandtl number (Pr), the Grashof numbers (Gr), and the parameter eta when the fractional-order derivative is used in modeling the second-grade fluid model. Their impacts are also analyzed from a physical point of view besides mathematical calculations. The impact of the fractional parameter alpha is also provided. Finally, it is concluded that the graphical representations support the theoretical observations of the paper.en_US
dc.identifier.doi10.3390/math10071125
dc.identifier.issn2227-7390
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85127949550en_US
dc.identifier.urihttps://doi.org/10.3390/math10071125
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15933
dc.identifier.volume10en_US
dc.identifier.wosWOS:000781392500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSecond-Grade Fluiden_US
dc.subjectPrandtl Numberen_US
dc.subjectGrashof Numberen_US
dc.subjectFractional-Order Derivativeen_US
dc.subjectIntegral Transformationen_US
dc.titleAnalysis of the Influences of Parameters in the Fractional Second-Grade Fluid Dynamicsen_US
dc.typeArticleen_US

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