Viscous dissipation and variable density impact on heat-mass transmission in magneto Ree-Eyring nanofluid across stretched sheet with multiple slips

Abstract

The present research investigates the impact of entropy optimization and variable density on heat and mass transfer in magneto Ree-Eyring nanofluid across stretched sheet with thermal-concentration slip. The thermal conductivity of nanofluids is increased by adding nanoparticles in base fluids. In many industrial sectors, the primary cooling mechanism occurs with the movement of non-Newtonian nanofluids such as biomedical engineering, cancer therapy, thermally extraction systems, and other fields. The partial differential equations (PDEs) model of present work transformed into ordinary differential equations (ODEs) by using well defined similarity variable and stream functions. These differential equations are further solved by using central difference technique and Newton-Raphson method. The graphical and numerical results of physical factors of present model with the support of Keller Box scheme and MATLAB software. Quantitative information about the patterns of nanoparticle concentration, temperature, and velocity with respect to other physical parameters such as Prandtl number (Pr), power-law index (n), Lewis number (Le), thermophoretic factor (Nt), Brownian motion number (Nb), Weissenberg number (We), magnetic field (ξ), Eckert factor (Ec), thermal slip (Bt), and concentration slip (Bc) are established. The findings are demonstrated and examined in detail using a number of graphical presentations. The numerical amount of skin friction (${-f}^{″}\left(0\right)),\text{Nusselt}\text{number}\left({-\theta }^{\prime }\left(0\right)\right),and\text{concentration}\text{rate}\left({-\varphi }^{\prime }\left(0\right)\right)$ are measured and compared with literature and have demonstrated good validation. The temperature and mass transmission processes have got maximum amount at Ec = 5.0 and velocity profile inclined up at ξ = 1.0 while the value of Weissenberg number remained high We = 20.1. It is found that the skin friction profile (${-f}^{″}\left(0\right)$) has expressed declined with increasing Le, ${-f}^{″}\left(0\right)$, achieved maximum value at Le = 0.1 and then reduced at Le = 2.5. The ${-\theta }^{\prime }\left(0\right),and{-\varphi }^{\prime }\left(0\right)$ rate boost up with increasing Le and achieved maximum value at Le = 2.5 and then showed declined rate at Le = 0.1. It has been observed that the ${-f}^{″}\left(0\right)$ expressed decline with increasing Nt, it is found that ${-f}^{″}\left(0\right)$ achieved maximum value at Nt = 0.1 and reduced at Nt = 2.0.