Variable density and heat generation impact on chemically reactive carreau nanofluid heat-mass transfer over stretching sheet with convective heat condition

Abstract

The present study focuses on the physical significance of heat generation and chemical reaction on Carreau nanofluid with convective heat conditions. Heat transfer is characterized using convective boundary conditions. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using well define stream functions and similarity transformations. Using a shooting methodology, the Keller-box method with Newton Raphson scheme is used to elaborate the numerical solutions of physical phenomena. Utilizing a similar technique to find the impact of physical parameter such as the production of heat $\delta$, the rate of reaction $\Lambda$, Biot numbers $\gamma$, Brownian motion variable $N_b$, the thermophoresis parameters $N_t$, the Weissenberg quantity $\text{We}$, Prandtl number $\mathrm{Pr}$, and Lewis number $L_e$ on velocity profile, temperature profile and mass transmission profile are determined graphically. The skin-friction coefficient $-f^{″}\left(0\right)$, local Nusselt $-{\theta }^{\prime }\left(0\right)$, and Sherwood numbers $-{\varphi }^{\prime }\left(0\right)$ are analyzed numerically. Increment in fluid velocity and slip temperature are depicted with high Biot number. Maximum magnitude of fluid temperature and fluid concentration function are depicted at high value of temperature dependent density. The magnitude of heat and mass transportation enhanced with maximum choice of Brownian motion.