Numerical experiment to examine activation energy and bi-convection Carreau nanofluid flow on an upper paraboloid porous surface: Application in solar energy

The current article examines the physical features of magneto-hydrodynamics (MHD) Carreau nanofluid bi-convection flow past an upper paraboloid porous surface. The presence of activation energy and chemical reaction are also examined. The notion of the Carreau nanofluid was established with recent parametric quantities to accomplish the momentum governing equation.The momentum equation is furthermore reformed by applying Darcy law. The governing partial differential equations are reconstructed into ordinary differential equations by making use of similarity transforms. The reformed non-linear coupled differential equations are solved by implementing the spectral local linearization technique (SLLM). The SLLM technique is forthright to grow and employing since this algorithm relies upon a smoothly Uni-variant linearizing of non-linear functions. The numerical interpretation of SLLM is admirable cause it establishes a system of equations, which consecutively resolve by functioning the outcomes through the first equation into the subsequent equation. To advance and strengthen the converged solutions for the SLLM algorithm, the SOR method is also implemented. The numerical outcomes of temperature, velocity, and concentration profiles, even though the skin friction, Sherwood number, and Nusselt number are adorned via graphical curves for all the arising parametric quantities and analyzed in detail.