Heat transfer analysis of magnetohydrodynamic Casson fluid through a porous medium with constant proportional Caputo derivative

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dc.authoridAleem, Maryam/0000-0002-2480-3962
dc.authoridAsjad, Muhammad Imran/0000-0002-1484-5114
dc.contributor.authorAleem, Maryam
dc.contributor.authorAsjad, Muhammad Imran
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:24:10Z
dc.date.available2024-12-24T19:24:10Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article aims to investigate free convection of a Casson fluid past a vertical plate embedded in porous medium with invariant wall temperature. It is assumed that the fluid can conduct electricity and it is flowing across a porous medium. The partial differential equations governing the model are made dimensionless by using dimensionless parameters. The Laplace transform method is applied to get analytical results. Furthermore, the hybrid fractional model is developed and the exact solutions for momentum and energy equations are acquired. The obtained results are compared with classical ones and the effect of hybrid fractional parameters are analyzed graphically by using MathCad software. Skin friction and heat transfer rate Nu is analyzed for small and large times and for hybrid fractional parameter beta. We also have seen the increasing velocity profiles for buoyancy parameter Gr, whereas temperature of the fluid decreases for Pr Pr. The rate of heat transfer (Nu) and skin friction (C-f) can be minimized by increasing the values of beta. Furthermore, the constant proportional Caputo derivative model exhibits more decay in velocity in comparison with classical model given in Khalid et al. Therefore, the constant proportional Caputo differential model demonstrates better memory function than the classical one. Moreover, the obtained results are identical to already published results of Khalid et al. and Imran et al.
dc.identifier.doi10.1002/htj.22179
dc.identifier.endpage6464
dc.identifier.issn2688-4534
dc.identifier.issn2688-4542
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85106306159
dc.identifier.scopusqualityQ1
dc.identifier.startpage6444
dc.identifier.urihttps://doi.org/10.1002/htj.22179
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5874
dc.identifier.volume50
dc.identifier.wosWOS:000653218800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofHeat Transfer
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectanalytical solutions
dc.subjectCasson fluid
dc.subjectconstant proportional Caputo derivative
dc.subjectmagnetic effect
dc.subjectMHD
dc.subjectporosity
dc.subjectpower-law kernel
dc.titleHeat transfer analysis of magnetohydrodynamic Casson fluid through a porous medium with constant proportional Caputo derivative
dc.typeArticle

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