The lattice Boltzmann model has been reviewed: from its initial use to overcome some of the difficulties with the lattice gas model, to the latest state of the art multi-fluid models. It has been seen that the lattice Boltzmann model has overcome the problems associated with the lattice gas model. The immiscible binary fluid model of Orlandini et al. [9] has been described in detail and some features of the model have been demonstrated by simulation.