Effect of Magnetic Field with Parabolic Motion on Fractional Second Grade Fluid

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dc.authoridIftikhar, Nazish/0000-0003-1840-2262
dc.authoridAwrejcewicz, Jan/0000-0003-0387-921X
dc.authoridRiaz, Muhammad Bilal/0000-0001-5153-297X
dc.contributor.authorIftikhar, Nazish
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorAwrejcewicz, Jan
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.abstractThis paper is an analysis of the flow of magnetohydrodynamics (MHD) second grade fluid (SGF) under the influence of chemical reaction, heat generation/absorption, ramped temperature and concentration and thermodiffusion. The fluid was made to flow through a porous medium. It has been proven in many already-published articles that heat and mass transfer do not always follow the classical mechanics process that is known as memoryless process. Therefore, the model using classical differentiation based on the rate of change cannot really replicate such a dynamical process very accurately; thus, a different concept of differentiation is needed to capture such a process. Very recently, new classes of differential operators were introduced and have been recognized to be efficient in capturing processes following the power law, the decay law and the crossover behaviors. For the study of heat and mass transfer, we applied the newly introduced differential operators to model such flow. The equations for heat, mass and momentum are established in the terms of Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu in Caputo sense (ABC) fractional derivatives. The Laplace transform, inversion algorithm and convolution theorem were used to derive the exact and semi-analytical solutions for all cases. The obtained analytical solutions were plotted for different values of existing parameters. It is concluded that the fluid velocity shows increasing behavior for ? , G(r) and G(m), while velocity decreases for P-r and M. For K-r, both velocity and concentration curves show decreasing behavior. Fluid flow accelerates under the influence of S-r and R. Temperature and concentration profiles increase for S-r and R. Moreover, the ABC fractional operator presents a larger memory effect than C and CF fractional operators.
dc.description.sponsorshipPolish National Science Centre [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/fractalfract5040163
dc.identifier.issn2504-3110
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85117501818
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract5040163
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8208
dc.identifier.volume5
dc.identifier.wosWOS:000737080700001
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.subjectsecond grade fluid
dc.subjectmemory effect
dc.subjectmagnetic field
dc.subjectinversion algorithm
dc.titleEffect of Magnetic Field with Parabolic Motion on Fractional Second Grade Fluid
dc.typeArticle

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