Approximate Solutions of the Model Describing Fluid Flow Using Generalized ?-Laplace Transform Method and Heat Balance Integral Method

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorSene, Ndolane
dc.date.accessioned2024-02-23T14:35:06Z
dc.date.available2024-02-23T14:35:06Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.description.abstractThis paper addresses the solution of the incompressible second-grade fluid models. Fundamental qualitative properties of the solution are primarily studied for proving the adequacy of the physical interpretations of the proposed model. We use the Liouville-Caputo fractional derivative with its generalized version that gives more comprehensive physical results in the analysis and investigations. In this work, both the rho-Laplace homotopy transform method (rho-LHTM) and the heat balance integral method (HBIM) are successfully combined to solve the fractional incompressible second-grade fluid differential equations. Numerical simulations and their physical interpretations of the mentioned incompressible second-grade fluid model are ensured to illustrate the main findings. It is also proposed that one can recognize the differences in physical analysis of diffusions such as ballistic diffusion, super diffusion, and subdiffusion cases by considering the impact of the orders rho and phi.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipM. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.3390/axioms9040123
dc.identifier.issn2075-1680
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85095111109en_US
dc.identifier.urihttps://doi.org/10.3390/axioms9040123
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15873
dc.identifier.volume9en_US
dc.identifier.wosWOS:000601544600001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofAxiomsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralized Fractional Derivativeen_US
dc.subjectSecond-Grade Fluiden_US
dc.subjectRho-Laplace Homotopy Perturbation Transform Methoden_US
dc.subjectHeat Integral Balance Methoden_US
dc.titleApproximate Solutions of the Model Describing Fluid Flow Using Generalized ?-Laplace Transform Method and Heat Balance Integral Methoden_US
dc.typeArticleen_US

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