Numerical simulation of Fe₃O₄-water nanofluid flow in a non-Darcy porous media

Purpose This paper aims to investigate non-Darcy magnetohydrodynamic nanofluid flow in a uniformly porous medium. It is assumed that viscosity of nanofluid (Fe 3 O 4 -water) is a function of external magnetic field. Roles of Darcy number, inclination angle, volume fraction of nanofluid, Hartmann and Rayleigh numbers are demonstrated graphically. Design/methodology/approach The problem is modeled, and simulation has been done by means of control volume base finite element method. Findings Results proved that Nusselt number enhances with augment of buoyancy forces and Darcy number while it decreases with the increase of Lorentz forces. Isotherms become denser near the inner cylinder with increase of inclination angle and the Darcy number. Originality/value As per the authors’ knowledge, this problem is new and not been published before.