A comprehensive study of Carreau nanofluid flow over an inclined vertical plate with Cattaneo-Christov heat flux: numerical simulation and statistical analysis

An investigation of Carreau fluid dynamics across an angled upright plate has numerous real-world applications. It is particularly relevant to industries involving non-Newtonian fluids, such as polymer processing, biomedicine, and food processing. The current study explores the complex dynamics of Carreau nanofluid flow on an angled upright plate, examining the consequences of numerous physical determinants, such as magnetic field, porosity, couple stress, thermal radiation, Cattaneo-Christov heat flux, thermophoresis, Brownian motion, and chemical reaction. A collection of nonlinear ordinary differential equations was derived from the governing equations for mass, momentum, and energy conservation by using suitable similarity transformations. These equations were then resolved numerically using the bvp4c solver in MATLAB. For instance, increasing the porosity parameter enhances fluid velocity, while a higher couple stress parameter reduces it. The Carreau fluid parameter influences the fluid's viscosity and flow behaviour, affecting the overall flow characteristics. Thermophoresis and thermal radiation significantly impact temperature distribution, while Brownian motion and chemical reactions affect nanoparticle concentration. We observe a drop in the Nusselt number of 8.66% when the thermophoresis parameter value falls between 0.2 and 2. It is detected that the friction factor drops at a rate of 5.82% when the value of the Carreau fluid parameter lies between 0 and 0.9. Raising the Brownian motion parameter from 0.2 to 2 resulted in a 49.9% surge in the mass transmission rate.