Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach

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dc.authoridRiaz, Muhammad Bilal/0000-0001-5153-297X
dc.authoridAwrejcewicz, Jan/0000-0003-0387-921X
dc.authoridRehman, Aziz UR/0000-0002-8804-3915
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorAwrejcewicz, Jan
dc.contributor.authorRehman, Aziz-Ur
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:35Z
dc.date.available2024-12-24T19:33:35Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIt is well established fact that the functional effects, such as relaxation and retardation of materials, can be measured for magnetized permeability based on relative increase or decrease during magnetization. In this context, a mathematical model is formulated based on slippage and non-slippage assumptions for Oldroyd-B fluid with magnetized permeability. An innovative definition of Caputo-Fabrizio time fractional derivative is implemented to hypothesize the constitutive energy and momentum equations. The exact solutions of presented problem, are determined by using mathematical techniques, namely Laplace transform with slipping boundary conditions have been invoked to tackle governing equations of velocity and temperature. The Nusselt number and limiting solutions have also been persuaded to estimate the heat emission rate through physical interpretation. In order to provide the validation of the problem, the absence of retardation time parameter led the investigated solutions with good agreement in literature. Additionally, comprehensively scrutinize the dynamics of the considered problem with parametric analysis is accomplished, the graphical illustration is depicted for slipping and non-slipping solutions for temperature and velocity. A comparative studies between fractional and non-fractional models describes that the fractional model elucidate the memory effects more efficiently.
dc.description.sponsorshipPolish National Science Centre under the grant OPUS 18 [2019/35/B/ST8/00980]
dc.description.sponsorshipThis work has been supported by the Polish National Science Centre under the grant OPUS 18 No. 2019/35/B/ST8/00980.
dc.identifier.doi10.3390/fractalfract5030124
dc.identifier.issn2504-3110
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85115276568
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract5030124
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8207
dc.identifier.volume5
dc.identifier.wosWOS:000700253000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectheat transfer
dc.subjectslip effect
dc.subjectramped conditions
dc.subjectporous medium
dc.subjectlaplace transform
dc.subjectCaputo-Fabrizio fractional model
dc.subjectphysical aspect via graphs
dc.titleThermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach
dc.typeArticle

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