Wave Propagation in Submerged Pipe Conveying Fluid

A problem of wave propagation in submerged pipe conveying fluid is discussed in this paper. Three different fluid-pipe models are considered: the pipe conveying non-viscous fluid immersed in still fluid, the pipe conveying non-viscous fluid considering hydrostatic pressure and the pipe conveying viscous fluid considering hydrostatic pressure. The Flüggle shell model and the hydrostatic pressure considered as the static prestress are introduced for the description of pipe and external/internal fluids. The effects of steady viscous forces are obtained by using the time-mean Navier–Stokes equations, and the perturbation pressures can be determined by means of potential flow theory. The wave dispersion curves of a submerged pipe conveying fluid are obtained numerically by considering the coupling conditions. The effects of internal fluid velocity and hydrostatic pressure on phase velocity are also discussed.