Investigation of viscous dissipation in the nanofluid flow with a Forchheimer porous medium: Modern transportation of heat and mass

Abstract

In this article, the motion of a viscous nanofluid over a shrinking/stretching sheet is analyzed. This study also focuses on the non-Darcian transport in the stagnation-point flow of a nanofluid. The nanofluid consists of Brownian motion and thermophoresis effects. A magnetic field is applied in the vertical direction under the assumption of low magnetic Reynolds number. The Cattaneo-Christov phenomenon is incorporated to investigate the characteristics of heat and mass transfer. The characteristics of heat transfer are evaluated for the first time by utilizing the viscous dissipation with the Cattaneo-Christov theory. The equations (PDEs) governing the flow, heat and mass transport are first derived and then transformed into the corresponding ordinary differential equations via using similarity solutions. A homotopic proceduce is addressed to obtain the solutions for the accomplished ordinary differential equations. The variation of the divergent involved parameters on the fluid temperature, velocity and concentration distributions is disclosed through graphs and analyzed in detail. The features of the skin friction coefficient is graphed in order to understand the flow processes. It is noted that an increase in the Darcy number results in the decrease in the velocity field. Further impacts of Brownian diffusion and Eckert number on the temperature are quite similar.