A mathematical study of natural convection flow through a channel with non-singular kernels: An application to transport phenomena

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 re...

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Bibliographic Details
Published in:Alexandria engineering journal Vol. 59; no. 4; pp. 2269 - 2281
Main Authors: Saeed, Syed Tauseef, Riaz, Muhammad Bilal, Baleanu, Dumitru, Abro, Kashif Ali
Format: Journal Article
Language:English
Published: Elsevier B.V 01.08.2020
Elsevier
Subjects:
Convection flow
Convolution
Dufour effect
Inversion algorithm
Mass transfer
Modern fractional operator
Convection flow
Dufour effect
Convolution
Inversion algorithm
Mass transfer
Modern fractional operator
ISSN:1110-0168
Online Access:Get full text
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Summary: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.
ISSN:1110-0168
DOI:10.1016/j.aej.2020.02.012