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this work used the improved Shan-Doolen model which is based on Shan-Chen model, Combined of non-equilibrium extrapolation boundary and fully developed boundary treatment, and finally established Two-phase flow model. Applying this model, we firstly simulated the separation of two phase immiscible flow and represented the separation process of different time, so as to verify the feasibility of the model. Then the numerical simulation of transient flow of power law Newtonian two phase flow in the extended port was made to show the distribution density of different time. On this basis we clearly numerical analyse the whole process of change from the initial to the steady state so that we have a more clear understanding to the transient process of flow.

The transient simulation of two-phase flow based on lattice Boltzmann method