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The heat transfer occurring on boundary layer flows during dilute suspension of Cu–Al2O3 nanoparticles-based non-Newtonian Casson hybrid nanofluid over diverging channel is to be characterized in this model. The governing equations comprise continuity, momentum, energy and concentration equations which incorporated variable viscosity and magnetic effects in the momentum equation, variable thermal conductivity, chemical reaction, thermal radiative heat flux, uniform magnetic field, Joule heating and viscous dissipative effects in the energy equation and Brownian motion and thermophoretic effects in the concentration equation. The modeled equations are nondimensionalized using nonsimilar variables and linearized using quasilinearization technique. The system of linearized partial differential equations is solved numerically using implicit finite difference and successively iterated with the help of Varga's algorithm. The physical impacts of viscous dissipation parameter (Ec), Brownian motion ( N b ) on velocity, temperature, concentration and Schmidt number (Sc) influences on skin friction, Nusselt number, Sherwood number profiles, Bejan lines and total entropy production profiles are simulated graphically. The velocity profiles are enhanced and the temperature profile declines for augmented values of Eckert number. Moreover, for augmented values of Schmidt number the heat and mass transfer rates are enhanced and the Bejan lines dropped a decreasing trend whereas total entropy production is augmented near the wall region. The improved values of the Schmidt number physically increased Sc in the heat transfer rate. The ascending profile of the mass transfer rate with increased values of the viscous dissipation parameter Ec demonstrated that the graph is raised for larger values of the viscous dissipating parameter (Ec). The physical behavior of incremental mass transfer rate led to the conclusion that the relative diffusivity of nanoparticles is characterized by both nondimensional numbers Ec and Sc which are directly proportional to the viscous forces. [ABSTRACT FROM AUTHOR]

The present study involves a numerical approach of forced convection of the rheological properties of Casson nanofluids flowing on a vertical plate with variable viscosity and Prandtl number using Buongiorno's single‐phase model. The non‐Newtonian Casson fluid is very useful in the process of metal coatings and fabrication manufacturing as these types of nanofluids experiences more shear‐thinning effects. The influence of velocity, concentration, and temperature profiles for nonuniform physical parameters on the steady Casson nanofluid flow induced on a vertical plate was studied numerically. The investigations include the graphs of velocity, concentration, temperature, skin friction coefficient, and Nusselt number profiles for velocity ratio parameter (ϵ $\epsilon $), Casson fluid parameter (β $\beta $), and Lewis number (Le $Le$). The characteristic features of augmented values of Casson fluid parameter (β $\beta $) enhance the velocity profile, whereas declines the temperature profiles. Non‐Newtonian fluids on a vertical plate are commonly encountered in irrigation problems, heat storage beds, biological systems, petroleum, textile, paper, and polymer composite industries, optimization and solidification processes of metals and metal alloys, geothermal source investigations, and nuclear fuel debris treatment. [ABSTRACT FROM AUTHOR]