Entropy generation of nanofluid in presence of magnetic field using Lattice Boltzmann Method

• LBM is applied to solve the governing equations.
• Entropy generation of nanofluid in presence of magnetic field is studied.
• NuNu increases with increase of φφ and RaRa.
• NsNs decreases with increase of HaHa.

In this paper magnetohydrodynamic free convection flow of CuO–water nanofluid in a square enclosure with a rectangular heated body is investigated numerically using Lattice Boltzmann Method (LBM) scheme. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL (Koo–Kleinstreuer–Li) correlation. The influence of pertinent parameters such as Hartmann number, nanoparticle volume fraction and Rayleigh number on the flow, heat transfer and entropy generation have been examined. The results show that the heat transfer rate and Dimensionless entropy generation number increase with increase of the Rayleigh number and nanoparticle volume fraction but it decreases with increase of the Hartmann number.