Numerical analysis of turbulent natural convection in the presence of wire-induced non-uniform magnetic field inside a porous medium

Abstract

Turbulent natural convection of Fe<inf>3</inf>O<inf>4</inf>-water ferrofluid with Reynolds Averaged Navier-Stokes (RANS) based turbulence model of k−ω in the presence of wire-induced non-uniform magnetic field inside a porous medium is simulated, numerically. To discretize and solve the related equations the FVM method and SIMPLE algorithm are implemented. For applying the non-uniform magnetic field, two wires carrying electric currents have been installed below and above the enclosure. Simulations are implemented for different Rayleigh numbers (106≤Ra≤108), porosity number of (η=0.5and0.9), volume fractions of nanoparticles 0≤ϕ≤4%, magnetic field numbers 0≤MFN≤109. According to the results, in low Rayleigh number and high MFN, at the high-volume fraction of nanoparticles, applying a magnetic field optimally influenced transfer and Nusselt number. At high porosity numbers, low Ra numbers and ϕ=4%, the heat transfer rate improved by up to 17 %. However, at high Ra numbers and highϕ, applying the magnetic field reduces the Nusselt number by almost 12 %. © 2024 Elsevier B.V., All rights reserved.