A comparative study on non-Newtonian fractional-order Brinkman type fluid with two different kernels

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dc.authoridImran, Muhammad/0000-0002-2363-5039
dc.authoridSarwar, Shahzad/0000-0002-7310-8587
dc.authoridAsjad, Muhammad Imran/0000-0002-1484-5114
dc.contributor.authorSarwar, Shahzad
dc.contributor.authorAleem, Maryam
dc.contributor.authorImran, Muhammad Asjad
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:24:17Z
dc.date.available2024-12-24T19:24:17Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis study carried out the free convective non-Newtonian fluid of Brinkman type flow near an upright plate moving with velocity f(t). A fractional order model for non-Newtonian fluid of Brinkman type flow is proposed. The time derivative in the proposed fractional flow model is considered by using the two types of fractional derivatives namely Caputo fractional derivative and Atangana-Baleanu fractional derivative. The system of conjugated fractional partial differential equations for the temperature theta, velocity u and concentration C are worked out by applying optimal homotopy asymptotic technique. The effectuate of tangible and fractional variables on the domains of velocity u, temperature theta and concentration C are envisioned graphically. The rate of heat and mass transfer in the form of Nu and Sh is also calculated for both fractional derivatives. The numerical results reveal the efficiency, reliability, significant features, and simple in computation with high accuracy of consider method for non-Newtonian fractional order fluid of Brinkman type flow. We ascertained that our results are in excellent agreement with the exact results.
dc.identifier.doi10.1002/num.22688
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85096790764
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1002/num.22688
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5925
dc.identifier.volume40
dc.identifier.wosWOS:000592096800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofNumerical Methods For Partial Differential Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectAtangana? Baleanu fractional model
dc.subjectCaputo fractional derivative
dc.subjectfree convection
dc.subjectheat and mass transfer
dc.subjectoptimal homotopy asymptotic method (OHAM)
dc.subjectsemi analytical solutions
dc.subjectvertical plates
dc.titleA comparative study on non-Newtonian fractional-order Brinkman type fluid with two different kernels
dc.typeArticle

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