Exact solutions involving special functions for unsteady convective flow of magnetohydrodynamic second grade fluid with ramped conditions

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dc.authoridAbbas, Dr. Muhammad/0000-0002-0491-1528
dc.authoridRehman, Aziz UR/0000-0002-8804-3915
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorAbro, Kashif Ali
dc.contributor.authorAbualnaja, Khadijah M.
dc.contributor.authorAkgul, Ali
dc.contributor.authorRehman, Aziz Ur
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorHamed, Y. S.
dc.date.accessioned2024-12-24T19:29:55Z
dc.date.available2024-12-24T19:29:55Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractA number of mathematical methods have been developed to determine the complex rheological behavior of fluid's models. Such mathematical models are investigated using statistical, empirical, analytical, and iterative (numerical) methods. Due to this fact, this manuscript proposes an analytical analysis and comparison between Sumudu and Laplace transforms for the prediction of unsteady convective flow of magnetized second grade fluid. The mathematical model, say, unsteady convective flow of magnetized second grade fluid, is based on nonfractional approach consisting of ramped conditions. In order to investigate the heat transfer and velocity field profile, we invoked Sumudu and Laplace transforms for finding the hidden aspects of unsteady convective flow of magnetized second grade fluid. For the sake of the comparative analysis, the graphical illustration is depicted that reflects effective results for the first time in the open literature. In short, the obtained profiles of temperature and velocity fields with Laplace and Sumudu transforms are in good agreement on the basis of numerical simulations.
dc.description.sponsorshipTaif University Researchers Supporting Project, Taif University, Taif, Saudi Arabia [TURSP-2020/217]
dc.description.sponsorshipThis research was supported by Taif University Researchers Supporting Project Number (TURSP-2020/217), Taif University, Taif, Saudi Arabia. The authors are also grateful to anonymous referees for their valuable suggestions which significantly improved this manuscript.
dc.identifier.doi10.1186/s13662-021-03562-y
dc.identifier.issn1687-1847
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85114470697
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1186/s13662-021-03562-y
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7314
dc.identifier.volume2021
dc.identifier.wosWOS:000693892300002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectIntegral transform
dc.subjectMHD
dc.subjectUnsteady convective flow
dc.subjectSpecial functions
dc.titleExact solutions involving special functions for unsteady convective flow of magnetohydrodynamic second grade fluid with ramped conditions
dc.typeArticle

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