Twisted-Pore Effect on Fluid Flow, Solid Deformation and Stress in a Poro-Elastic Cylinder

The linearized theory of viscous-fluid-saturated poro-elastic material proposed by Crochet and Naghdi is summarized and applied to the problem of steady fluid flow through a “twisted pore” elastic cylinder. The cylinder is encased in and bonded to an impermeable rigid tube. Deformations and stresses of the cylinder due to the flow are considered. The results of the mathematical analysis and some numerical computations cast light on the “twisted pore” effect.