Influence of Lorentz forces on nanofluid flow in a porous cavity by means of non-Darcy model

Purpose This main purpose of this paper is to investigate the influence of Lorentz forces on magnetic nanofluid free convection in a porous media. Control volume based finite element method (CVFEM) is chosen to simulate the purpose of this paper. Influences of Darcy number, Fe 3 O 4 –water volume fraction, Hartmann and Rayleigh numbers on hydrothermal behavior are presented. Design/methodology/approach Magnetic nanofluid flow in a permeable medium is studied numerically using the non-Darcy model. Outputs are obtained by means of CVFEM. Findings Results indicated that isotherms become denser near the inner cylinder with augmentation of the permeability of the porous media. The Nusselt number enhances with an increase in buoyancy forces, Darcy number but it detracts with augment of Lorentz forces. Originality/value Results depict that the effect of the Hartmann number on rate of heat transfer is more observable in a medium with higher permeability.