Lattice Boltzmann Simulation Of Multiphase Flow In A Channel

In this paper, we firstly made an introduction to lattice Boltzmann method, single-phase models and multiphase-multicomponent models. Shan-Chen model was chosen to study two-phase flow in a narrow channel. Shan-Chen model can automatically track the location of free interface, and it is easy to deal with the boundary conditions, hence the calculation efficiency is very high.In order to prove the correctness of the model, this model was used to simulate static bubble and two-phase layered flow and the results got well with the analytic results. So the model is validated. Then the behavior of a droplet which adheres to the wall of a channel and subjects to body force was studied by Shan-Chen model. In this section, the influence of wettability and molecular mass ratio as the main factor on the behavior of droplet was simulated. Based on the simulated results, we found that as the molecular mass ratio becomes larger, the surface tension of the droplet and the critical body force become smaller, however, the critical Bond number becomes lager.Finally immiscible displacement in a channel was studied. The effect of velocity at inlet and wettability and surface tension were investigated. The simulation results show that with the increase of velocity at inlet the finger opted to develop. With the decrease of wettability of displacing fluid, finger length increased and opted to develop. But that went against the completeness of displacement. The surface tension increasing would restrain the finger.