Steady diffusion of an ideal fluid through a pre-stressed and reinforced hollow conduit subjected to combined finite deformations

A problem dealing with the radial steady diffusion of an ideal fluid through a pre-stressed fibrous hollow cylinder subjected to finite deformations is investigated. Such a problem has relevance to several technical problems such as: (a) improving the method for performing prosthesis conduit for use with living tissue, (b) more understanding the problem of atherogenesis, and (c) ultra filtration process. The numerical results show that the presence of a pre-stress reduces considerably the sensitivity of the dimensionless trans-mural pressure to imposed dimensionless flux. This effect is confirmed with respect to the variation of the circular and axial shear.