Unsteady flow of fractional Burgers' fluid in a rotating annulus region with power law kernel

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dc.authoridTahir, Madeeha/0000-0002-6634-2877
dc.authoridAsjad, Muhammad Imran/0000-0002-1484-5114
dc.authoridImran, Muhammad/0000-0002-2363-5039
dc.contributor.authorJavaid, Maria
dc.contributor.authorTahir, Madeeha
dc.contributor.authorImran, Muhammad
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAkgul, Ali
dc.contributor.authorImran, Muhammad Asjad
dc.date.accessioned2024-12-24T19:25:10Z
dc.date.available2024-12-24T19:25:10Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractKeeping in view of the complex fluid mechanics in bio-medicine and engineering, the Burgers' fluid with a fractional derivatives model analyzed through a rotating annulus. The governing partial differential equation solved for velocity field and shear stress by using integral transformation method and using Bessel equations. The transformed equation inverted numerically by using Gaver-Stehfest's algorithm. The approximate analytical solution for rotational velocity, and shear stress are presented. The influence of various parameters like fractional parameters, relaxation and retardation time parameters material constants, time and viscosity parameters are drawn numerically. It is found that the relaxation time and time helps the flow pattern, on the other hand other material constants resist the fluid rotation. Fractional parameters effect on fluid flow is opposite to each other. Finally, to check the validity of the solution there are comparisons for velocity field and shear stress for obtained results with an other numerical algorithm named Tzou's algorithm. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
dc.identifier.doi10.1016/j.aej.2021.04.106
dc.identifier.endpage27
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85109114095
dc.identifier.scopusqualityQ1
dc.identifier.startpage17
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.04.106
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6303
dc.identifier.volume61
dc.identifier.wosWOS:000709490700002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractional Burgers' fluid
dc.subjectAnnulus
dc.subjectIntegral transform
dc.subjectModified Bessel equation
dc.subjectGaver-Stehfest's algorithm
dc.titleUnsteady flow of fractional Burgers' fluid in a rotating annulus region with power law kernel
dc.typeArticle

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