Mixed convection Carreau-Yasuda nanofluid flow with heat transfer analysis by Cattaneo-Christov heat and mass transfer models.

This work provides a thorough examination of the mixed convection flow of a non-Newtonian Carreau-Yasuda Buongiorno nanofluid model in the presence of a transverse magnetic field. The physical system incorporates the Cattaneo-Christov flux model to account for non-Fourier heat and mass transfer, magnetohydrodynamic (MHD) effects, and the influence of thermal and solutal buoyancy forces. In the Buongiorno model, Brownian motion and thermophoresis are introduced as processes for nanoparticle transport, whereas the Carreau-Yasuda formulation reflects the fluid's shear-dependent viscosity characteristic. Additionally, the model takes into account the impacts of heat absorption/generation, Joule heating and chemical reactions in the fluid medium. Similarity transformations are applied to convert the governing partial differential equations to a set of nonlinear ordinary differential equations, and these determined equations are cracked numerically by using the multistep Adam-Bashforth numerical scheme along with the predictor and corrector approach. The effects of important dimensionless factors are investigated in detail, including the power-law index, Weissenberg number, magnetic field strength, thermal and solutal relaxation times, Brownian and thermophoretic parameters, and chemical reaction rate. The findings show that the velocity field is reduced by increasing the magnetic field and Weissenberg number, while the non-Fourier heat/mass fluxes and nanoparticle dynamics have a major impact on the thermal and concentration boundary layers. The results provide valuable information for the optimization and design of chemically reactive transport processes and advanced heat management systems in non-Newtonian nanofluid applications.