UNSTEADY DIFFUSION OF FLUIDS THROUGH SOLIDS UNDERGOING LARGE DEFORMATIONS
L. TAO, Kumbakonam Ramamani Rajagopal, Alan Stuart Wineman · Mathematical Models and Methods in Applied Sciences · 1991
In this work, we develop a theory for studying the unsteady diffusion problems which involve the motion of singular surfaces within the context of the theory of interacting continua. The theory allows for the possibility of mixtures with different properties on either side of the surface. Constitutive equations have to be postulated for the mixtures and the singular surface. The jump conditions across the singular surface are obtained by extending techniques developed in the case of a single continuum. To evaluate the validity of the theory we solve a typical boundary-initial value problem employing the theory.