Abstract
Here, a moving permeable surface for the mixed convective flow of Carreau nanofluid with thermal radiation is considered in detail along with the variable conductivity and thermophoresis diffusion aspects. Mathematical modeling of the existing physical model is formulated for a system of PDEs to simplify it in ODEs. Before applying Bvp4c technique, first the nonlinear higher order ODEs are converted into first-order ODEs and then employed for solution development. Velocity, temperature, and concentration are conducted for Carreau nanofluid. The role of rheological parameters on velocity, temperature, and concentration is examined. Numerically, it is observed that in a moving permeable surface the skin friction and Nusselt number significantly affect the skin-heat-transport mechanisms. Moreover, the velocity of Carreau nanofluid is boosted for the ratio of rate constants. The values of suction parameter increase corresponding to less velocity, while the opposite behavior occurs for the ratio of rate constant. An augmentation in Brownian motion parameter corresponds to a lower concentration of cross-nanofluid, while the inverse situation is detected for greater thermophoresis parameter.