We discuss the diffusion process of polymers in polymer solution undergoing evaporation of the solvent at the free surface, and obtain a diffusion-type equation with a moving boundary condition in one dimension. Taking into account the effect of gelation (or solidification) of the solution, we carry out numerical simulations of the one-dimensional model. Based on the numerical results, we present a detailed description of the condition related to the “skin” formation due to the surface gelation. Furthermore, we also show that the drying dynamics of polymer solutions is strongly related to a gelation, which causes a great increase of diffusion coefficient of polymers.
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Ozawa et al. (2006) studied this question.
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