Traveling waves for anomalous diffusion in polymers Original Research Article

Case 11 diffusion of a penetrant through a polymer matrix is characterized by constant front speed. Hence, a traveling-wave analysis is appropriate for the model equations. For the previously validated model analyzed here, conditions on the molecular and stress diffusion coefficients are obtained which guarantee the existence of a traveling wave. Conditions axe derived under which an interior maximum in the stress develops. An exact solution for the concentration and stress fields is derived for a special case.