New correlation for Nusselt number of nanofluid with Ag / Al2O3 / Cu nanoparticles in a microchannel considering slip velocity and temperature jump by using lattice Boltzmann method

Forced convection heat transfer of water-Ag, water-Cu and water-Al2O3 nanofluid in a microchannel is studied numerically by using lattice Boltzmann method. Temperature of microchannel walls is higher than that of the inlet fluid. Effects of change in nanoparticles volume fraction and slip coefficient are investigated. Slip velocity, temperature jump and velocity and temperature profiles are presented at different cross sections. Moreover, a correlation is developed to predict nanofluid Nusselt number through the microchannel. As a result, higher value of slip coefficient corresponds to less Nusselt number and more slip velocity and temperature jump.