Slip and radiative effects on MHD Maxwell nanofluid with non-Fourier and non-Fick laws in a porous medium

Abstract

The purpose of this investigation is to examine the phenomenon of a slip flow of upper-convected Maxwell (UCM) nanofluid generated by an inclined stretching sheet through a porous medium and a magnetic field. The diffusion model for mass and heat transfer introduced by Cattaneo and Christov is incorporated in the modeling process. The relaxation framework of visco-elastic system is formulated for UCM nanofluid to determine both heat and mass transfer by the Cattaneo-Christov model. Thermophoresis, Brownian motion and heat generation effects in the presence of chemical reaction have also been incorporated. Similarity transformations are used to achieve the dimensionless form of governing equations. These dimensionless equations have been solved numerically with the shooting technique. The present analysis primarily focuses on the research of important parameters appearing in the governing equations and their impacts on − θ′(0), − φ′(0), − f′′(0), velocity, concentration and temperature distributions. The velocity inside the boundary layer is decreased for the augmented Maxwell parameter while the temperature is upturned. Moreover, it is noted that a reduction in the non-dimensional velocity in a porous medium for larger magnetic parameter is more significant as compared with a non-porous medium. The heat transfer rate increases significantly as the Prandtl number increases whereas it declines for the Maxwell and thermal relaxation parameters.