A model is presented for the diffusion-driven drying of a polymeric solution such as liquid paint. Included is a stress build-up and relaxation in the polymer network of the viscoelastic material, which influences the diffusion process. The behaviour of the (one-dimensional) model is analysed by means of the maximum principle and illustrated with numerical calculations.
- Stress-driven diffusion
- Liquid paint layer
van de Fliert, B. W., & van der Hout, R. (1998). Stress-driven diffusion in a drying liquid paint layer. European journal of applied mathematics, (9), 447-461. https://doi.org/10.1017/S0956792598003532