DSpace Repository

Mittag-Leffler form solutions of natural convection flow of second grade fluid with exponentially variable temperature and mass diffusion using Prabhakar fractional derivative

Show simple item record

dc.contributor.author Rehman, Aziz Ur
dc.contributor.author Awrejcewicz, Jan
dc.contributor.author Riaz, Muhammad Bilal
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-04-25T07:35:07Z
dc.date.available 2024-04-25T07:35:07Z
dc.date.issued 2022-06
dc.identifier.citation Rehman, Aziz Ur;...et.al. (2022). "Mittag-Leffler form solutions of natural convection flow of second grade fluid with exponentially variable temperature and mass diffusion using Prabhakar fractional derivative", Case Studies in Thermal Engineering, Vol.34. tr_TR
dc.identifier.issn 2214157X
dc.identifier.uri http://hdl.handle.net/20.500.12416/7947
dc.description.abstract In this article, heat source impact on unsteady magnetohydrodynamic (MHD) flows of Prabhakar-like non integer second grade fluid near an exponentially accelerated vertical plate with exponentially variable velocity, temperature and mass diffusion through a porous medium. For the sake of generalized memory effects, a new mathematical fractional model is formulated based on newly introduced Prabhakar fractional operator with generalized Fourier's law and Fick's law. This fractional model has been solved analytically and exact solutions for dimensionless velocity, concentration and energy equations are calculated in terms of Mittag-Leffler functions by employing the Laplace transformation method. Physical impacts of different parameters such as α, Pr, β, Sc, Gr, γ, Gm are studied and demonstrated graphically by Mathcad software. Furthermore, to validate our current results, some limiting models such as classical second grade model, classical Newtonian model and fractional Newtonian model are recovered from Prabhakar fractional second grade fluid. Moreover, compare the results between second grade and Newtonian fluids for both fractional and classical which shows that the movement of the viscous fluid is faster than second grade fluid. Additionally, it is visualized that for both classical second grade and viscous fluid have relatively higher velocity as compared to fractional second grade and viscous fluid. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.csite.2022.102018 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Analytical Solution tr_TR
dc.subject Magnetic Effect tr_TR
dc.subject Mittag-Leffler Functions tr_TR
dc.subject Physical Aspect Via Graphs tr_TR
dc.subject Prabhakar Derivative tr_TR
dc.subject Slip Conditions tr_TR
dc.title Mittag-Leffler form solutions of natural convection flow of second grade fluid with exponentially variable temperature and mass diffusion using Prabhakar fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal Case Studies in Thermal Engineering tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 34 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

This item appears in the following Collection(s)

Show simple item record