Power law memory of natural convection flow of hybrid nanofluids with constant proportional Caputo fractional derivative due to pressure gradient

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dc.authoridAsjad, Muhammad Imran/0000-0002-1484-5114
dc.contributor.authorAli, Rizwan
dc.contributor.authorAkgul, Ali
dc.contributor.authorAsjad, Muhammad Imran
dc.date.accessioned2024-12-24T19:24:55Z
dc.date.available2024-12-24T19:24:55Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this work, influence of hybrid nanofluids on heat transfer flow of a viscous fluid due to pressure gradient is discussed with innovative constant proportional Caputo fractional derivative. For this purpose, we consider an infinite vertical wall which is exponentially moving in the x-direction with variable temperature. Nanosized particles of Cu and Al2O3 are suspended in water, the base fluid. The governing equations of the problem are converted into dimensionless form. Further, we develop the constant proportional Caputo fractional model with a new operator with power law kernel which can be used to study the fluid behaviour for different values of fractional parameter at the present time. We applied the Laplace transform method to obtain the solutions and to see the impact of hybrid nanofluids and fractional parameter alpha respectively. We compared the present results with the recently published work (Nehad et al, Adv. Mech. Eng.11(7): 1 (2019)) with Caputo fractional derivative. As a result, we have found that the present solutions are best to describe the memory concept of temperature and velocity. For small values of fractional parameter, temperature and velocity have maximum values and for larger values of fractional parameter, temperature and velocity have minimum values. Further, rate of heat transfer and skin friction are also computed in tabular forms and it is found that Nusselt number with CPC is much less than that is computed with Caputo fractional derivative for greater values of fractional parameter alpha.
dc.description.sponsorshipUniversity of Management and Technology Lahore, Pakistan
dc.description.sponsorshipThe authors are thankful to the reviewers for their constructive comments and to the University of Management and Technology Lahore, Pakistan for the financial help for this investigation.
dc.identifier.doi10.1007/s12043-020-01997-8
dc.identifier.issn0304-4289
dc.identifier.issn0973-7111
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85089875321
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s12043-020-01997-8
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6193
dc.identifier.volume94
dc.identifier.wosWOS:000763436400002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIndian Acad Sciences
dc.relation.ispartofPramana-Journal of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectHybrid nanofluids
dc.subjectNewtonian fluid
dc.subjectpressure gradient
dc.subjectchannel flow
dc.subjectpower law kernel
dc.subject44
dc.subject05
dc.subject44
dc.subject30
dc.titlePower law memory of natural convection flow of hybrid nanofluids with constant proportional Caputo fractional derivative due to pressure gradient
dc.typeArticle

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