Influence of Arrhenius activation energy in chemically reactive radiative flow of 3D Carreau nanofluid with nonlinear mixed convection

Abstract The forthright intention of this study is to scrutinize the up-to-date advances in nanofluids by utilizing the properties of nonlinear mixed convection and binary chemical reaction with Arrhenius activation energy in time-dependent Carreau nanofluid flow. The energy and concentration terminologies contain Brownian and thermophoresis nanoparticles. The silent features of magnetohydrodynamic (MHD), non-uniform heat sink/source and thermal radiation are being presented. Additionally, heat and mass transport phenomena are manifest by convective conditions. Apposite conversions are executed to acquire the essential nonlinear ordinary differential equations (ODEs) structure and elucidated numerically via bvp4c. Graphs are portrayed and tables are structured to scrutinize the behavior of diverse influential variables. As of graphical consequences, it is scrutinized that the fluid velocities enhance for an increase in the power law exponent. This study also reported that on the temperature field, thermal Biot number, radiation and Brownian motion parameter indicate analogous performance and heightens the temperature of Carreau fluid. Furthermore, augmenting performance is being established for activation energy and thermophrosis parameters; however, the behavior is quite antithesis for fitting rate constant.