Analysis of MHD viscous fluid flow through porous medium with novel power law fractional differential operator

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dc.authoridAsjad, Muhammad Imran/0000-0002-1484-5114
dc.contributor.authorAsjad, Muhammad Imran
dc.contributor.authorDanish Ikram, Muhammadish
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:28:28Z
dc.date.available2024-12-24T19:28:28Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractThe present study deals with the unsteady and incompressible viscous fluid flow with constant proportional Caputo type fractional derivative (hybrid fractional operator). We find analytical solutions of a well-known problem in fluid dynamics known as Stokes' first problem. MHD and porosity are also considered as an additional effects. Using dimensional analysis, governing equations of motion converted into non-dimensional form and then extended with novel fractional operator of singular kernel and series solutions are obtained by Laplace transform method. As a result, we compared present result with all the existing fractional operators and found that momentum boundary layer thickness can be control by changing the value of fractional parameter. Moreover, it is also observed that constant proportional Caputo type operator is well suited in exhibiting the decay of velocity of the fluid than all the existing fractional operators with power law (C), exponential law (CF) and Mittage-Leffler law (ABC).
dc.description.sponsorshipUniversity of Management and Technology Lahore, Pakistan
dc.description.sponsorshipAuthors are greatly thankful to the reviewers to improve the present form of the manuscript and the University of Management and Technology Lahore, Pakistan for facilitating and supporting the research work.
dc.identifier.doi10.1088/1402-4896/abbe4f
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85094321190
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/abbe4f
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7073
dc.identifier.volume95
dc.identifier.wosWOS:000577014100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectConstant proportional Caputo
dc.subjectA comparison
dc.subjectAnalytical solution
dc.subjectMHD
dc.subjectPorous medium
dc.titleAnalysis of MHD viscous fluid flow through porous medium with novel power law fractional differential operator
dc.typeArticle

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