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 3 O 4-water ferrofluid with Reynolds Averaged Navier-Stokes (RANS) based turbulence model of k- win 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 (n = 0.5 and 0.9), volume fractions of nanoparticles (0 <= <= 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 = 4%, the heat transfer rate improved by up to 17%. However, at high Ra numbers and high , applying the magnetic field reduces the Nusselt number by almost 12 %.