Analysis of newly developed fractal-fractional derivative with power law kernel for MHD couple stress fluid in channel embedded in a porous medium

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dc.authoridKumam, Poom/0000-0002-5463-4581
dc.authoridARIF, MUHAMMAD/0000-0002-2462-1245
dc.contributor.authorArif, Muhammad
dc.contributor.authorKumam, Poom
dc.contributor.authorKumam, Wiyada
dc.contributor.authorAkgul, Ali
dc.contributor.authorSutthibutpong, Thana
dc.date.accessioned2024-12-24T19:27:51Z
dc.date.available2024-12-24T19:27:51Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractFractal-fractional derivative is a new class of fractional derivative with power Law kernel which has many applications in real world problems. This operator is used for the first time in such kind of fluid flow. The big advantage of this operator is that one can formulate models describing much better the systems with memory effects. Furthermore, in real world there are many problems where it is necessary to know that how much information the system carries. To explain the memory in a system fractal-fractional derivatives with power law kernel is analyzed in the present work. Keeping these motivation in mind in the present paper new concept of fractal-fractional derivative for the modeling of couple stress fluid (CSF) with the combined effect of heat and mass transfer have been used. The magnetohydrodynamics (MHD) flow of CSF is taken in channel with porous media in the presence of external pressure. The constant motion of the left plate generates the CSF motion while the right plate is kept stationary. The non-dimensional fractal-fractional model of couple stress fluid in RiemannLiouville sense with power law is solved numerically by using the implicit finite difference method. The obtained solutions for the present problem have been shown through graphs. The effects of various parameters are shown through graphs on velocity, temperature and concentration fields. The velocity, temperature and concentration profiles of the MHD CSF in channel with porous media decreases for the greater values of both fractional parameter alpha and fractal parameter beta respectively. From the graphical results it can be noticed that the fractal-fractional solutions are more general as compared to classical and fractional solutions of CSF motion in channel. Furthermore, the fractal-fractional model of CSF explains good memory effect on the dynamics of couple stress fluid in channel as compared to fractional model of CSF. Finally, the skin friction, Nusselt number and Sherwood number are evaluated and presented in tabular form.
dc.description.sponsorshipCenter of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT; Thailand Science Research and Innovation (TSRI) Basic Research Fund: Fiscal year 2021 [64A306000005]
dc.description.sponsorshipThe authors are thankful to the editors and reviewers for their constructive comments to improve the manuscript. The authors acknowledge the financial support provided by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. Moreover, this research project is supported by Thailand Science Research and Innovation (TSRI) Basic Research Fund: Fiscal year 2021 under project number 64A306000005.
dc.identifier.doi10.1038/s41598-021-00163-3
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid34675245
dc.identifier.scopus2-s2.0-85117693124
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-021-00163-3
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6823
dc.identifier.volume11
dc.identifier.wosWOS:000709931300067
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleAnalysis of newly developed fractal-fractional derivative with power law kernel for MHD couple stress fluid in channel embedded in a porous medium
dc.typeArticle

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