Abstract
We model the evaporation of a stagnant liquid from an initially filled block to a flowing gas stream. The motivation for this problem arises from applications in the drying of porous media, when the pressure is low, and in the recovery of oil from fractured reservoirs by gas injection, when the pressure is high. A similarity solution is developed which accounts for diffusion in both phases. Diffusion in the liquid phase can be important in high-pressure applications, where the gas may dissolve in the liquid phase. The motion of the interface and the evaporation rates are calculated as a function of the various thermodynamic parameters for systems of interest, including n-alkanes, methane, nitrogen, or carbon dioxide. The effect of counter-diffusion is shown to slow the evaporation process, although not by an order of magnitude, in typical cases.
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