Aspects of EMHD boundary layer flows for alumina-water nanofluidic mixtures in a porous medium

Abstract The physical scenario of the present nanofluid flow problem is based theoretically on Wakif’s-Buongiorno and Darcy’s-Forchheimer models to examine the prominent aspects of a convectively heated nanofluid during its two-dimensional EMHD boundary layer flow in the laminar and steady states over a horizontal electromagnetic plate. The biphasic structure of the employed monotype nanofluid is constituted by alumina nanoparticles and pure water. The governing equations are converted into a numerically solvable ODEs system. The generated outputs are plotted graphically in terms of the velocity, temperature, and nanoparticles' concentration profiles. For higher nanoparticles’ volume fractions, the nanofluid velocity profile shows an increasing dynamical behavior. Dynamically, Forchheimer's number results in the velocity decline due to the porosity of the nanofluidic medium. However, the other influencing parameters reveal an enhancing thermal impact. Besides, the skin friction factor shows a significant alteration for the nanoparticles’ volume fraction and the porosity effect. From a practical point of view, the present nanofluid findings are crucial in many engineering applications.