A numerical method is developed that allows mass transfer at moving interfaces to be rigorously captured. The advantage of this method is its ability to consider arbitraryform boundary conditions at the phase interface. The method is applied to the test system comprising the movement of a rising toluene droplet in a quiescence aqueous phase, with acetone being the transferring component. The level set method is employed for the description of the droplet movement, whereas the velocity and concentration fields are determined from the continuity, momentum and mass transfer equations. The concentration contours obtained are found to be in qualitative agreement with the available data from the literature.
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