Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure

Recently, the applications of nanofluid have been extensively increased in the chemical process due to its distinctive advantages in heat transfer. In the present study, numerical simulations have been conducted to investigate the effect of magnetic field on fluid flow and forced convection of the CuO-water nanofluid in a complex shaped lid driven cavity. This research considered Brownian motion effect on thermal conductivity of nanofluid and vorticity stream function formulation is applied. In order to solve final equations, control volume based finite element approach is applied. Comprehensive parametric studies on various factors such as Darcy number , CuO -water volume fraction , Reynolds and Hartmann numbers are performed to reveal all aspects of the effect of Lorentz force. Our findings showed that heat transfer process intensifies with rising of nanofluid volume fraction, Darcy and Reynolds number while it increases with augmenting of Hartmann number. Obtained results reveal that applying nanoparticles is more effective for higher values of Hartmann number and lower values of Darcy number.