Simulation of Nanofluid Natural Convection with Presence of Magnetic Field in a Tilted Cavity Using Lattice Boltzmann Method

In this work, a double multi-relaxation-time lattice Boltzmann method is used to simulate the magneto-hydrodynamics natural convection of nanofluid in a two-dimensional tilted square cavity. The cavity is filled with TiO2-water nanofluid at the presence of a magnetic field with an inclination angle of ϕ respect to horizontal plane. The proposed numerical scheme solves the flow field and temperature field by using a MRT-D2Q9 and MRT-D2Q5 lattice model, respectively. The obtained results indicate that augmentation of the magnetic field weakens the rate of heat transfer in the cavity. Also, in ϕ = 90°, the produced flow is not able to cover the entire cavity and is divided into two vortex;and the vortexes tend to take a symmetrical shape by increasing the Hartman number. At ϕ = 90° and Ha = 30 and 60, the isotherm contours become mushroom-shaped. In addition, it was observed that at high Hartman numbers (Ha=60), Lorentz force overcomes the buoyancy force and enhancement of solid volume fraction will not affect the rate of heat transfer in the cavity significantly.