Abstract
Turbulent natural convection of Fe3O4-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 %.
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