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Computational Results With Non-singular and Non-local Kernel Flow of Viscous Fluid in Vertical Permeable Medium With Variant Temperature

Muhammad Bilal Riaz, Syed Tauseef Saeed, Dumitru Bǎleanu, Muhammad Mansha Ghalib

2020Frontiers in Physics19 citationsDOIOpen Access PDF

Abstract

This present article explores the transversal magnetized flow of a viscous fluid. The flow is confined to a vertical wall, saturated in permeable medium, along with ramped wall temperature. In this study, the conjugate impact of heat and mass transfer with slip and non-slip conditions are considered in the velocity field and energy equation. The dimensionless Atangana-Baleanu fractional governing equations are derived with Laplace transformation. Computational results are expressed graphically with the effect of various physical parameters. Comparative graphical analysis of the Atangana-Baleanu derivative for temperature, concentration and velocity field, with slip and non-slip impact, shows that the memory effects of the Atangana-Baleanu derivative are better than the results that exist in the literature.

Topics & Concepts

Laplace transformMechanicsConjugate gradient methodSlip (aerodynamics)Porous mediumViscous liquidKernel (algebra)Materials scienceMathematicsPorosityMathematical analysisThermodynamicsPhysicsMathematical optimizationComposite materialCombinatoricsNanofluid Flow and Heat TransferHeat Transfer MechanismsHeat Transfer and Optimization