Characteristic times for multiscale diffusion of active ingredients in coated textiles

A three-scale approach for textile models was given in [5]: a one-dimensional fiber model and a room model, with a meso-level in between, which is the yarn scale. To analyze and simplify the model, its characteristic times are investigated here. At these times the fiber and yarn model and the yarn and room model, respectively, tend to reach a partial equilibrium concentration. The identification of these characteristic times is key to reducing the model to its variously scaled components when simplifying it.