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

Muhammad B. Riaz,Dumitru Baleanu,Muhammad M. Ghalib,Syed T. Saeed

doi:10.3389/fphy.2020.00275

Abstract

Unsteady electrically conducting viscous fluid flow with transversal magnetic field in porous medium over vertical wall with ramped temperature has studied with Atangana-Baleanu derivative. Conjugate impact of heat and mass transfer with slip and non-slip effect are considerable. Solutions of governing equations for temperature gradient, concentration gradient and velocity profile are obtained with Laplace transformation. Inversion calculation of Laplace transformation have been computed with Stehfest’s algorithm. Computational results have been expressed graphically with the effect of various flow physical parameters. Comparative graphical analysis with existing literature as well as Atangana-Baleanu derivative for temperature, concentration and velocity field with slip and non-slip impact shows that the memory effects of Atangana-Baleanu derivative are better than the results existing in literature.

Highlights

In nature, heat and mass transfer is a common conjugate phenomenon for chemical reaction, evaporation, and condensation caused by temperature and concentration
Fluid velocity decreases with the increase of α as well as for slip and non-slip boundary conditions
Variation in fluid velocity with respect to the porosity coefficient is displayed in Figures 4, 11. It represents the increase in the porosity coefficient, resulting in the decrease in the velocity profile, as well as the velocity with slip and non-slip boundary conditions for both a short and long time

Summary

Introduction

Heat and mass transfer is a common conjugate phenomenon for chemical reaction, evaporation, and condensation caused by temperature and concentration. In a preamble surface the process of thermal and mass transfer with a conjugate effect have different applications in the area of nuclear production, industry, oil production, and engineering disciplines [1, 2]. The conjugate effect with convection flow over an infinite plate in preamble medium, along time dependent velocity, electrically flow with a magnetic effect and have been studied by different researchers. Khan et al [9] discussed the influence of heat and mass diffusion of a viscous fluid over an oscillating plate. Das et al [10] and Narahari and Ishaq [11] investigated the solution of unsteady Walter’s fluids on convection flow over preamble medium with a magnetic effect and Viscous Fluid With Variant Temperature constant suction heat. Some of the latest results, according to this research, are given in Gupta et al [13], Khan et al [14], and Imran et al [15]

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