Abstract
Our target here in this investigation is to model and analyze the rheological Carreau nanoliquid subjected to variable physical attributes. The well-known diffusion model (Rosseland's) is deployed for radiative heat transportation. Activation energy aspect is introduced to capture chemical reaction effects. The nonlinear partial differential expressions elaborating the flow are converted into the ordinary ones via implementation of apposite similarity transformations. Solutions are developed through RKF (Runge-Kutta-Fehlberg) technique. The ensuing solutions are delineated for distinct dimensionless factors like variable viscosity factor, material number (Weissenberg number), local rotation factor, Brownian movement factor, activation energy and Lewis number. The drag coefficient along with rates of heat-mass transportation are outlined via pictorial and tabular repre-sentations. Besides a comparative scrutiny has been reported with earlier published researches. The obtained outcomes reveal a reduction in velocity subjected to higher variable viscosity factor. Higher velocities are noticed for larger estimations of Weissenberg number, Power law index and rotation parameter.