Nanoparticle transportation of CuO-H2O nanofluid in a porous semi annulus due to Lorentz forces

Purpose: The purpose of this paper is to research on CuO-water nanofluid Non-Darcy flow because of magnetic field. Porous cavity has circular heat source and filled with nanofluid. Lattice Boltzmann Method (LBM) has been used to simulate this problem. Design/methodology/approach: In this research, LBM has been applied as mesoscopic approach to simulate water-based nanofluid free convection. Koo-Kleinstreuer-Li model is used to consider Brownian motion impact on nanofluid properties. Impacts of Rayleigh number, Darcy number, nanofluid volume fraction and Hartmann number on heat transfer treatment are illustrated. Findings: It is found that temperature gradient decreases with rise of while it enhances with augment of Ha. Darcy number can enhance the convective flow. Originality/value: The originality of this work is to analyze the to investigate magnetic field impact on water based CuO-H2O nanofluid natural convection inside a porous cavity with elliptic heat source