Traveling wave solutions for case II diffusion in polymers

Reactive reinforcement of the interface of poly(ether sulfone)/poly(phenylene sulfide) polymer blend by PMR–POI

“…It is generally observed that, at short times, a Fickian‐like front moves as √ t , and then an abrupt transition takes place where the dynamic diffusion mechanism is of a non‐Fickian type. 28–30 The penetration of the solvent in the bulk polymer swells the chain network and thus introduces a supplementary stress that stretches the chains between entanglement junctions. This modifies the chain's relaxation mechanism, which, in turn, modifies the diffusion process of the solvent.…”

Stress-driven diffusion in a drying liquid paint layer

“…There are several unanswered questions, among which most importantly the diffusion profiles and the other coefficients in the model. Cox [4] studies the phenomenon of sharp fronts by assuming that the process is principally driven by the stress; Cohen et al [5,7,6] use a step-like diffusion coefficient to generate the phenomenon. For these systems some asymptotic properties have been shown, but it cannot be expected that the phenomenon of a sharp diffusion front will be noticeable in a paint layer.…”

An asymptotic analysis of polymer desorption and skinning

“…Though such choices are obviously idealizations of the true behavior, models with such forms for D and b have produced qualitative agreement with various experimental phenomena 12,20,21) .…”