Abstract
We exhibit the theoretical studies of the rotational behavior on Carreau flow managed by an exponentially stretchable rotate surface with temperature-based viscosity. To begin a chemical reaction, Arrhenius energy is taken into account. Reynold's viscosity model, preserving the variable viscosity effects, has been utilized here. Moreover, nanoparticle effects are inspected using the Buongiorno model. The situation is controlled by employing the Cartesian coordinate system. The ordinary differential system is achieved by implementing an appropriate similarity approach. The solution of governing ordinary differential system has been calculated by the numerical scheme. The consequent solutions are sketched for various dimensionless numbers, including Weissenberg number, local rotation parameter, activation energy, Brownian diffusion parameter, Lewis number, and variable viscosity parameter. The friction factor coefficient, heat and mass diffusion rates are in graphs and tables. A comparative analysis has been made with previously published work.