This paper reports the findings of a two dimensional numerical CFD simulation of a two phase immiscible flow. The results of the simulations are validated by use of theoretical equations and comparisons to published experimental results. From the computational results, we show how the water film thickness surrounding the oil drop changes with capillary number and how the transient pressure profile changes with velocity. It is shown how a numerical simulation can provide accurate details of a flow that is hard to simulate and visualize in an experiment. We provide a pressure Vs Time data obtained from the simulation which shows the wetting film of water reduces the required pressure drop. It is seen that a presence of a water film makes it easier for the oil drop to move under a lower pressure. This study will be helpful in comparing the vibrational effect on oil drop mobilization because it is expected the pressure required after vibrational stimulation will fall between the maximum pressure without water film and minimum pressure with water film.

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