Wave Propagation Through a Viscous Fluid Contained in a Prestressed Viscoelastic Tube Available to Purchase

The oscillatory motions induced by a propagating wave of small amplitude through a viscous incompressible fluid contained in a prestressed and thick-walled viscoelastic tube are studied by a perturbation analysis based on equations of motion in the Lagrangian system. While the finite-amplitude initial displacements of the wall are found at the zeroth order, the wave kinematics and dynamics are determined at the first order as analytical functions of the wall and fluid properties, prestress, and the Womersley number for the cases of a free or tethered tube.