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A Mathematical Study of Natural Convection Flow Through A Channel With Non-Singular Kernels: An Application to Transport Phenomena

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dc.contributor.author Saeed, Syed Tauseef
dc.contributor.author Riaz, Muhammad Bilal
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Abro, Kashif Ali
dc.date.accessioned 2020-04-29T23:11:45Z
dc.date.available 2020-04-29T23:11:45Z
dc.date.issued 2020
dc.identifier.citation Saeed, S.T...et al. (2020). "A Mathematical Study of Natural Convection Flow Through A Channel With Non-Singular Kernels: An Application to Transport Phenomena", Alexandria Engineering Journal. tr_TR
dc.identifier.issn 11100168
dc.identifier.uri http://hdl.handle.net/20.500.12416/3539
dc.description.abstract In this manuscript, we have obtained closed form solution using Laplace transform, inversion algorithm and convolution theorem. The study of mass transfer flow of an incompressible fluid is carried out near vertical channel. Recently, new classes of differential operators have been introduced and recognized to be efficient in capturing processes following the decay law and the crossover behaviors. For the study of heat and mass transfer, we applied the newly differential operators say Atangana-Baleanu (ABC) and Caputo-Fabrizio (CF) to model such flow. This model for temperature, concentration and velocity gradient is presented in dimensionless form. The obtained solutions have been plotted for various values physical parameters like α,Df,Gm,Gr,Sc and Pr on temperature and velocity profile. Our results suggest that for the variation of time the velocity behavior for CF and ABC are reversible. Finally, an incremental value of prandtl number is observed for decrease in the velocity field which reflects the control of thickness of momentum and enlargement of thermal conductivity. Further, dynamical analysis of fluid with memory effect are efficient for ABC as compared to CF. © 2020 Faculty of Engineering, Alexandria University tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier B.V. tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.02.012 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Convection Flow tr_TR
dc.subject Convolution tr_TR
dc.subject Mass Transfer tr_TR
dc.subject Modern Fractional Operator tr_TR
dc.subject Dufour Effect tr_TR
dc.subject Inversion Algorithm tr_TR
dc.title A Mathematical Study of Natural Convection Flow Through A Channel With Non-Singular Kernels: An Application to Transport Phenomena tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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